{
  "problem_id": "auto_problem_090",
  "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n  Joint J5: Force=(0, -59919, 0) N\n  Joint J8: Force=(0, -56923, 0) N\n  Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n  - Minimum Factor of Safety (buckling): 1.5\n  - Minimum Factor of Safety (yielding): 1.5\n  - Maximum allowable mass: 225.17 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": 3496,
  "max_depth": 8,
  "nodes": {
    "node_0": {
      "node_id": "node_0",
      "content": "INITIAL DESIGN (Trace 0)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 143.77 kg\n  Factor of Safety: 0.79\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": 143.7734564006022,
      "fos_buckling": 0.785347329652575,
      "fos_yielding": 2.4226747408612264,
      "deflection": 0.014658643682115908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1": {
      "node_id": "node_1",
      "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 145.23 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.2254647291596,
      "fos_buckling": 0.785347329652576,
      "fos_yielding": 3.6005216648868945,
      "deflection": 0.014561197901030526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.541)"
      },
      "parent_node_id": "node_0",
      "improvement_over_parent": null
    },
    "node_2": {
      "node_id": "node_2",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 168.86 kg\n  Factor of Safety: 0.90\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": 168.85926749265042,
      "fos_buckling": 0.8955905698761643,
      "fos_yielding": 4.183720762083286,
      "deflection": 0.012552237301277552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1",
      "improvement_over_parent": null
    },
    "node_3": {
      "node_id": "node_3",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n\nPerformance:\n  Mass: 176.29 kg\n  Factor of Safety: 1.35\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": 176.28576221201735,
      "fos_buckling": 1.3546203237272259,
      "fos_yielding": 4.170329573166998,
      "deflection": 0.012987062470234291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004231)"
      },
      "parent_node_id": "node_2",
      "improvement_over_parent": null
    },
    "node_4": {
      "node_id": "node_4",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.37316375974345,
      "fos_buckling": 1.5292578430464838,
      "fos_yielding": 4.8311316878290285,
      "deflection": 0.01124796388569498,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3",
      "improvement_over_parent": null
    },
    "node_5": {
      "node_id": "node_5",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.54630082273295,
      "fos_buckling": 1.529445761214289,
      "fos_yielding": 4.830666676037003,
      "deflection": 0.011235383190026446,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.350)"
      },
      "parent_node_id": "node_4",
      "improvement_over_parent": null
    },
    "node_6": {
      "node_id": "node_6",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_5",
      "improvement_over_parent": null
    },
    "node_7": {
      "node_id": "node_7",
      "content": "INITIAL DESIGN (Trace 1)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 146.71 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.71051446816958,
      "fos_buckling": 0.2869137850742365,
      "fos_yielding": 1.0817021889235112,
      "deflection": 0.037515760972954774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_8": {
      "node_id": "node_8",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n\nPerformance:\n  Mass: 154.45 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.76e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.4549017169112,
      "fos_buckling": 0.2867269686728882,
      "fos_yielding": 1.1631784259555529,
      "deflection": 0.03757564468754805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004527)"
      },
      "parent_node_id": "node_7",
      "improvement_over_parent": null
    },
    "node_9": {
      "node_id": "node_9",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n  Mass: 164.68 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.67532451136373,
      "fos_buckling": 0.7580804939975971,
      "fos_yielding": 3.9730454311162755,
      "deflection": 0.015106080246627124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005201)"
      },
      "parent_node_id": "node_8",
      "improvement_over_parent": null
    },
    "node_10": {
      "node_id": "node_10",
      "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0066)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n  Mass: 166.65 kg\n  Factor of Safety: 0.74\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": 166.64567372642756,
      "fos_buckling": 0.744267606295092,
      "fos_yielding": 3.9738141583227704,
      "deflection": 0.015086417418418329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.522)"
      },
      "parent_node_id": "node_9",
      "improvement_over_parent": null
    },
    "node_11": {
      "node_id": "node_11",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0082)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 203.60 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.6006181863777,
      "fos_buckling": 0.8824642979807035,
      "fos_yielding": 4.8519753310232545,
      "deflection": 0.012383201529423451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_10",
      "improvement_over_parent": null
    },
    "node_12": {
      "node_id": "node_12",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0082)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 206.72 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.7159960860981,
      "fos_buckling": 1.5509111726040496,
      "fos_yielding": 4.8297936817242535,
      "deflection": 0.011138875779509711,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_11",
      "improvement_over_parent": null
    },
    "node_13": {
      "node_id": "node_13",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_12",
      "improvement_over_parent": null
    },
    "node_14": {
      "node_id": "node_14",
      "content": "INITIAL DESIGN (Trace 2)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0012)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0023)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0015)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0017)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0018)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0027)]\n\nPerformance:\n  Mass: 75.95 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.96e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 75.95156225212358,
      "fos_buckling": 0.6100248509423499,
      "fos_yielding": 1.817421664395307,
      "deflection": 0.029626416579401717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_15": {
      "node_id": "node_15",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 98.71 kg\n  Factor of Safety: 0.78\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.71223657425541,
      "fos_buckling": 0.7769367098215044,
      "fos_yielding": 2.3605047457560056,
      "deflection": 0.022872876008774225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_14",
      "improvement_over_parent": null
    },
    "node_16": {
      "node_id": "node_16",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 126.33 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.32835362530798,
      "fos_buckling": 0.9699480633867995,
      "fos_yielding": 3.0184701010361024,
      "deflection": 0.01794631084950515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_15",
      "improvement_over_parent": null
    },
    "node_17": {
      "node_id": "node_17",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 147.08 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.07822308147658,
      "fos_buckling": 1.1082395161812066,
      "fos_yielding": 3.5121378656438527,
      "deflection": 0.015461926917050945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_16",
      "improvement_over_parent": null
    },
    "node_18": {
      "node_id": "node_18",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 175.11 kg\n  Factor of Safety: 1.29\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": 175.11177744656888,
      "fos_buckling": 1.2860788626579076,
      "fos_yielding": 4.17812245677008,
      "deflection": 0.013040531019985153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_17",
      "improvement_over_parent": null
    },
    "node_19": {
      "node_id": "node_19",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.50 kg\n  Factor of Safety: 1.46\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": 203.50177408893205,
      "fos_buckling": 1.4558401223243271,
      "fos_yielding": 4.85142366964985,
      "deflection": 0.01126825528490691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_18",
      "improvement_over_parent": null
    },
    "node_20": {
      "node_id": "node_20",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.57941888767778,
      "fos_buckling": 1.5296788679512057,
      "fos_yielding": 4.83402401973917,
      "deflection": 0.011233204661896229,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.280)"
      },
      "parent_node_id": "node_19",
      "improvement_over_parent": null
    },
    "node_21": {
      "node_id": "node_21",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 166.08 kg\n  Factor of Safety: 1.07\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": 166.07592076893673,
      "fos_buckling": 1.0710563962651622,
      "fos_yielding": 3.040890821798948,
      "deflection": 0.013318106005887221,
      "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 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 166.67 kg\n  Factor of Safety: 1.07\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": 166.67196393379257,
      "fos_buckling": 1.0708137165587153,
      "fos_yielding": 3.040201817471497,
      "deflection": 0.013282147010921792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001636)"
      },
      "parent_node_id": "node_22",
      "improvement_over_parent": null
    },
    "node_24": {
      "node_id": "node_24",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 200.27 kg\n  Factor of Safety: 1.26\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": 200.27256069931076,
      "fos_buckling": 1.2628358258783454,
      "fos_yielding": 3.6650067681855405,
      "deflection": 0.011113995640051383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_23",
      "improvement_over_parent": null
    },
    "node_25": {
      "node_id": "node_25",
      "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 203.21 kg\n  Factor of Safety: 1.26\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": 203.21400693868694,
      "fos_buckling": 1.2624731214941407,
      "fos_yielding": 3.6639541261906583,
      "deflection": 0.011209857839600516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.391)"
      },
      "parent_node_id": "node_24",
      "improvement_over_parent": null
    },
    "node_26": {
      "node_id": "node_26",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.6649003987986,
      "fos_buckling": 1.3839409595384895,
      "fos_yielding": 4.8344720860180175,
      "deflection": 0.011103375988602709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.364)"
      },
      "parent_node_id": "node_25",
      "improvement_over_parent": null
    },
    "node_27": {
      "node_id": "node_27",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 141.89 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.81e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.8850686170504,
      "fos_buckling": 1.245482504430622,
      "fos_yielding": 1.9721688255087158,
      "deflection": 18146286140485.137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_29": {
      "node_id": "node_29",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 144.10 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.43e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.10079347870374,
      "fos_buckling": 0.850686302642789,
      "fos_yielding": 4.378907890853386,
      "deflection": 5432038886558.822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.230)"
      },
      "parent_node_id": "node_28",
      "improvement_over_parent": null
    },
    "node_30": {
      "node_id": "node_30",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n  Mass: 153.93 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.92786730110572,
      "fos_buckling": 0.9488989212786276,
      "fos_yielding": 4.04552653429877,
      "deflection": 0.014943822409410619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004605)"
      },
      "parent_node_id": "node_29",
      "improvement_over_parent": null
    },
    "node_31": {
      "node_id": "node_31",
      "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0076)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n  Mass: 159.39 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.3901878559125,
      "fos_buckling": 0.9484680701427863,
      "fos_yielding": 4.045526534298771,
      "deflection": 0.014792386470702662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.562)"
      },
      "parent_node_id": "node_30",
      "improvement_over_parent": null
    },
    "node_32": {
      "node_id": "node_32",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 203.30 kg\n  Factor of Safety: 1.15\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": 203.29669521575158,
      "fos_buckling": 1.1543238163864697,
      "fos_yielding": 5.164553226058928,
      "deflection": 0.011669074859946529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_31",
      "improvement_over_parent": null
    },
    "node_33": {
      "node_id": "node_33",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 208.60 kg\n  Factor of Safety: 1.45\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": 208.60474069274608,
      "fos_buckling": 1.4459079074143837,
      "fos_yielding": 4.841831337148479,
      "deflection": 0.011030330341533987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_32",
      "improvement_over_parent": null
    },
    "node_34": {
      "node_id": "node_34",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_33",
      "improvement_over_parent": null
    },
    "node_35": {
      "node_id": "node_35",
      "content": "INITIAL DESIGN (Trace 5)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 150.40 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.39703230310775,
      "fos_buckling": 0.28680351027427237,
      "fos_yielding": 1.1814177204503062,
      "deflection": 0.036906965360538536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_36": {
      "node_id": "node_36",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.03 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.034546848992,
      "fos_buckling": 0.33788523806516363,
      "fos_yielding": 1.4387436819433852,
      "deflection": 0.030318527593469927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_35",
      "improvement_over_parent": null
    },
    "node_37": {
      "node_id": "node_37",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 187.15 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.1499247487124,
      "fos_buckling": 0.3377090467286884,
      "fos_yielding": 2.0535128629183417,
      "deflection": 0.028412920824570507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_36",
      "improvement_over_parent": null
    },
    "node_38": {
      "node_id": "node_38",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 199.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 199.63773182572916,
      "fos_buckling": 1.529723823344998,
      "fos_yielding": 4.836886400054394,
      "deflection": 0.011577145099359837,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_37",
      "improvement_over_parent": null
    },
    "node_39": {
      "node_id": "node_39",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 202.81 kg\n  Factor of Safety: 1.50\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": 202.80994405361136,
      "fos_buckling": 1.4976843506573714,
      "fos_yielding": 4.838433915888934,
      "deflection": 0.01117963748162175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.271)"
      },
      "parent_node_id": "node_38",
      "improvement_over_parent": null
    },
    "node_40": {
      "node_id": "node_40",
      "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0102)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 208.57 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.10e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 208.57456120881307,
      "fos_buckling": 1.5088142852620123,
      "fos_yielding": 4.838053339974564,
      "deflection": 0.01096508981135196,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.314)"
      },
      "parent_node_id": "node_39",
      "improvement_over_parent": null
    },
    "node_41": {
      "node_id": "node_41",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_40",
      "improvement_over_parent": null
    },
    "node_42": {
      "node_id": "node_42",
      "content": "INITIAL DESIGN (Trace 6)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0017)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 131.77 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.77229368184888,
      "fos_buckling": 0.3388841072981261,
      "fos_yielding": 2.942628350385846,
      "deflection": 0.01920456382117281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_43": {
      "node_id": "node_43",
      "content": "MODIFICATION: Increase 16 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.49 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.48948520184913,
      "fos_buckling": 0.3387382325773467,
      "fos_yielding": 2.942379436962199,
      "deflection": 0.019640154662760395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.504)"
      },
      "parent_node_id": "node_42",
      "improvement_over_parent": null
    },
    "node_44": {
      "node_id": "node_44",
      "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 136.34 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.34150676445722,
      "fos_buckling": 0.3384962318097211,
      "fos_yielding": 2.9419661186570614,
      "deflection": 0.020057699557287728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.577)"
      },
      "parent_node_id": "node_43",
      "improvement_over_parent": null
    },
    "node_45": {
      "node_id": "node_45",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n\nPerformance:\n  Mass: 145.24 kg\n  Factor of Safety: 1.15\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": 145.23924071873762,
      "fos_buckling": 1.1478487127078512,
      "fos_yielding": 3.437243491225555,
      "deflection": 0.01568652126183398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004141)"
      },
      "parent_node_id": "node_44",
      "improvement_over_parent": null
    },
    "node_46": {
      "node_id": "node_46",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n  Mass: 168.17 kg\n  Factor of Safety: 1.30\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": 168.16730166505613,
      "fos_buckling": 1.3012897240480645,
      "fos_yielding": 3.9774148722402383,
      "deflection": 0.013593354329324306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_45",
      "improvement_over_parent": null
    },
    "node_47": {
      "node_id": "node_47",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76707135396626,
      "fos_buckling": 1.530779734903408,
      "fos_yielding": 4.838309052613844,
      "deflection": 0.011223406585676004,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_46",
      "improvement_over_parent": null
    },
    "node_48": {
      "node_id": "node_48",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_47",
      "improvement_over_parent": null
    },
    "node_49": {
      "node_id": "node_49",
      "content": "INITIAL DESIGN (Trace 7)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 168.66 kg\n  Factor of Safety: 0.13\n  Max Deflection: 8.25e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.6638726016649,
      "fos_buckling": 0.12577565793771345,
      "fos_yielding": 1.9721688255087158,
      "deflection": 8253371367275.407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_50": {
      "node_id": "node_50",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n  Mass: 172.89 kg\n  Factor of Safety: 0.09\n  Max Deflection: 6.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.89381350552674,
      "fos_buckling": 0.08736763450464619,
      "fos_yielding": 1.3699290304156546,
      "deflection": 0.06532463064542311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003295)"
      },
      "parent_node_id": "node_49",
      "improvement_over_parent": null
    },
    "node_51": {
      "node_id": "node_51",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 173.61 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.88e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.6099453320004,
      "fos_buckling": 0.25970511092745907,
      "fos_yielding": 1.3120934643971913,
      "deflection": 0.03883018245163229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_50",
      "improvement_over_parent": null
    },
    "node_52": {
      "node_id": "node_52",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 186.15 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.1489376719697,
      "fos_buckling": 0.27268788223645457,
      "fos_yielding": 1.3925156898828606,
      "deflection": 0.03474757617397744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_51",
      "improvement_over_parent": null
    },
    "node_53": {
      "node_id": "node_53",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 201.33 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.3334916868711,
      "fos_buckling": 1.37160496307102,
      "fos_yielding": 4.853242022020011,
      "deflection": 0.011113727552261313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_52",
      "improvement_over_parent": null
    },
    "node_54": {
      "node_id": "node_54",
      "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.40 kg\n  Factor of Safety: 1.37\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": 202.39719678489672,
      "fos_buckling": 1.3729625389793045,
      "fos_yielding": 4.835998285470239,
      "deflection": 0.011079147665259846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.276)"
      },
      "parent_node_id": "node_53",
      "improvement_over_parent": null
    },
    "node_55": {
      "node_id": "node_55",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0083)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.49 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.48690513821398,
      "fos_buckling": 1.3551494417587875,
      "fos_yielding": 4.8407223196716584,
      "deflection": 0.010724848476792913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.280)"
      },
      "parent_node_id": "node_54",
      "improvement_over_parent": null
    },
    "node_56": {
      "node_id": "node_56",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_55",
      "improvement_over_parent": null
    },
    "node_57": {
      "node_id": "node_57",
      "content": "INITIAL DESIGN (Trace 8)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 148.73 kg\n  Factor of Safety: 0.82\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": 148.72517990627827,
      "fos_buckling": 0.815050652597831,
      "fos_yielding": 3.749875794203257,
      "deflection": 0.014106658803413224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_58": {
      "node_id": "node_58",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 169.06 kg\n  Factor of Safety: 0.91\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": 169.05894600781463,
      "fos_buckling": 0.9105688328632411,
      "fos_yielding": 4.259676502168224,
      "deflection": 0.012446586350567359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_57",
      "improvement_over_parent": null
    },
    "node_59": {
      "node_id": "node_59",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.33 kg\n  Factor of Safety: 1.02\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": 192.32527369383595,
      "fos_buckling": 1.0151174787204764,
      "fos_yielding": 4.842122838796074,
      "deflection": 0.01097767465951497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_58",
      "improvement_over_parent": null
    },
    "node_60": {
      "node_id": "node_60",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 200.94 kg\n  Factor of Safety: 1.44\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": 200.93576272690984,
      "fos_buckling": 1.4400222980526387,
      "fos_yielding": 4.830123994587184,
      "deflection": 0.011484619613529784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_59",
      "improvement_over_parent": null
    },
    "node_61": {
      "node_id": "node_61",
      "content": "MODIFICATION: Increase 16 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.78976440175637,
      "fos_buckling": 1.5309884860090959,
      "fos_yielding": 4.8390905831747455,
      "deflection": 0.011221699212066076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.590)"
      },
      "parent_node_id": "node_60",
      "improvement_over_parent": null
    },
    "node_62": {
      "node_id": "node_62",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_61",
      "improvement_over_parent": null
    },
    "node_63": {
      "node_id": "node_63",
      "content": "INITIAL DESIGN (Trace 9)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 122.13 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.12585061093037,
      "fos_buckling": 0.514199536556348,
      "fos_yielding": 3.3938387209064587,
      "deflection": 0.01910915566385084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_64": {
      "node_id": "node_64",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 122.79 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.78922234824537,
      "fos_buckling": 0.5142286078750589,
      "fos_yielding": 3.3814132635674214,
      "deflection": 0.01907477724958384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.227)"
      },
      "parent_node_id": "node_63",
      "improvement_over_parent": null
    },
    "node_65": {
      "node_id": "node_65",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n\nPerformance:\n  Mass: 130.62 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.61641383683212,
      "fos_buckling": 0.18385292466423397,
      "fos_yielding": 3.42773654426053,
      "deflection": 0.0182265599405449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003887)"
      },
      "parent_node_id": "node_64",
      "improvement_over_parent": null
    },
    "node_66": {
      "node_id": "node_66",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n  Mass: 138.74 kg\n  Factor of Safety: 0.82\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": 138.73625368655263,
      "fos_buckling": 0.8215283679434034,
      "fos_yielding": 3.44133502264319,
      "deflection": 0.017288398496605937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003959)"
      },
      "parent_node_id": "node_65",
      "improvement_over_parent": null
    },
    "node_67": {
      "node_id": "node_67",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n  Mass: 145.46 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.46140528674243,
      "fos_buckling": 1.149373329695209,
      "fos_yielding": 3.4424406350221286,
      "deflection": 0.015662919998571122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003892)"
      },
      "parent_node_id": "node_66",
      "improvement_over_parent": null
    },
    "node_68": {
      "node_id": "node_68",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 162.26 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.25946980076256,
      "fos_buckling": 1.2624701208680034,
      "fos_yielding": 3.83824882575484,
      "deflection": 0.014075985584704995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_67",
      "improvement_over_parent": null
    },
    "node_69": {
      "node_id": "node_69",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.97 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.96819162016513,
      "fos_buckling": 1.5319911748126622,
      "fos_yielding": 4.84297943206255,
      "deflection": 0.011212614594397352,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_68",
      "improvement_over_parent": null
    },
    "node_70": {
      "node_id": "node_70",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_69",
      "improvement_over_parent": null
    },
    "node_71": {
      "node_id": "node_71",
      "content": "INITIAL DESIGN (Trace 10)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 168.12 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.18e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.11830416108864,
      "fos_buckling": 0.30778787787272704,
      "fos_yielding": 1.8572194281139953,
      "deflection": 0.03182690858928223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_72": {
      "node_id": "node_72",
      "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 170.45 kg\n  Factor of Safety: 0.31\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": 170.451019929738,
      "fos_buckling": 0.3077276683473678,
      "fos_yielding": 1.8566861354780146,
      "deflection": 0.03158497531697505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.548)"
      },
      "parent_node_id": "node_71",
      "improvement_over_parent": null
    },
    "node_73": {
      "node_id": "node_73",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 171.48 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.4770944887783,
      "fos_buckling": 0.3077011918844714,
      "fos_yielding": 1.8564516569345877,
      "deflection": 0.03145704661018402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.300)"
      },
      "parent_node_id": "node_72",
      "improvement_over_parent": null
    },
    "node_74": {
      "node_id": "node_74",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.23 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.2318844407633,
      "fos_buckling": 0.337271911053486,
      "fos_yielding": 2.0740835740770613,
      "deflection": 0.028153452440889612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_73",
      "improvement_over_parent": null
    },
    "node_75": {
      "node_id": "node_75",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71969151778006,
      "fos_buckling": 1.5304813608382564,
      "fos_yielding": 4.8370652013392705,
      "deflection": 0.011226030108890108,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_74",
      "improvement_over_parent": null
    },
    "node_76": {
      "node_id": "node_76",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.90 kg\n  Factor of Safety: 0.89\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": 193.90415332103134,
      "fos_buckling": 0.8934217915324071,
      "fos_yielding": 5.161214493962768,
      "deflection": 0.01289215309881467,
      "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 199.21 kg\n  Factor of Safety: 0.90\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": 199.21219879802584,
      "fos_buckling": 0.899508016848503,
      "fos_yielding": 4.809509305659417,
      "deflection": 0.012485569409543833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_77",
      "improvement_over_parent": null
    },
    "node_79": {
      "node_id": "node_79",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 0.90\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": 201.5870821952617,
      "fos_buckling": 0.8988036531001197,
      "fos_yielding": 4.853163199013711,
      "deflection": 0.012402998977546183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.422)"
      },
      "parent_node_id": "node_78",
      "improvement_over_parent": null
    },
    "node_80": {
      "node_id": "node_80",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70246009498211,
      "fos_buckling": 1.5304009577995152,
      "fos_yielding": 4.836804238055303,
      "deflection": 0.011226731233491083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_79",
      "improvement_over_parent": null
    },
    "node_81": {
      "node_id": "node_81",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 106.70 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.7039080762885,
      "fos_buckling": 0.6758748449357712,
      "fos_yielding": 2.9397313330754127,
      "deflection": 0.02266303655367793,
      "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 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 108.12 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.12390498028945,
      "fos_buckling": 0.6757929637617295,
      "fos_yielding": 2.9397313330754127,
      "deflection": 0.02266595078539429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.230)"
      },
      "parent_node_id": "node_82",
      "improvement_over_parent": null
    },
    "node_84": {
      "node_id": "node_84",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 120.00 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.99807218464208,
      "fos_buckling": 0.7413836155335318,
      "fos_yielding": 3.262344885250181,
      "deflection": 0.020462436859310602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_83",
      "improvement_over_parent": null
    },
    "node_85": {
      "node_id": "node_85",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.98 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.9818405301874,
      "fos_buckling": 0.8164644271637046,
      "fos_yielding": 3.642217180507546,
      "deflection": 0.018368263583148216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_84",
      "improvement_over_parent": null
    },
    "node_86": {
      "node_id": "node_86",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n  Mass: 140.66 kg\n  Factor of Safety: 0.87\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": 140.66154569454147,
      "fos_buckling": 0.868278184260998,
      "fos_yielding": 3.6422171805075463,
      "deflection": 0.016668944148933464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003864)"
      },
      "parent_node_id": "node_85",
      "improvement_over_parent": null
    },
    "node_87": {
      "node_id": "node_87",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n  Mass: 170.60 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.6014410551175,
      "fos_buckling": 1.0191323707084778,
      "fos_yielding": 4.41672656489952,
      "deflection": 0.013808449576147559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_86",
      "improvement_over_parent": null
    },
    "node_88": {
      "node_id": "node_88",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 175.15 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.1459739218644,
      "fos_buckling": 1.3464971578885017,
      "fos_yielding": 4.1416708173649015,
      "deflection": 0.013064881287038033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003560)"
      },
      "parent_node_id": "node_87",
      "improvement_over_parent": null
    },
    "node_89": {
      "node_id": "node_89",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6445051869896,
      "fos_buckling": 1.5300281247408878,
      "fos_yielding": 4.835398864358549,
      "deflection": 0.01122979486900723,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_88",
      "improvement_over_parent": null
    },
    "node_90": {
      "node_id": "node_90",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 13)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 147.13 kg\n  Factor of Safety: 0.82\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": 147.13186545168568,
      "fos_buckling": 0.8221032024275057,
      "fos_yielding": 4.03425774354345,
      "deflection": 0.01440715629998116,
      "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 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 153.86 kg\n  Factor of Safety: 0.95\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": 153.86029436452048,
      "fos_buckling": 0.9464004402897241,
      "fos_yielding": 4.03425774354345,
      "deflection": 0.015082456503193524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003804)"
      },
      "parent_node_id": "node_91",
      "improvement_over_parent": null
    },
    "node_93": {
      "node_id": "node_93",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 159.94 kg\n  Factor of Safety: 1.25\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": 159.94019928842857,
      "fos_buckling": 1.2471015024140115,
      "fos_yielding": 3.7836883257282667,
      "deflection": 0.014275257410483818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)"
      },
      "parent_node_id": "node_92",
      "improvement_over_parent": null
    },
    "node_94": {
      "node_id": "node_94",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6720893772657,
      "fos_buckling": 1.5302194582541555,
      "fos_yielding": 4.836105449960457,
      "deflection": 0.011228355174082156,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_93",
      "improvement_over_parent": null
    },
    "node_95": {
      "node_id": "node_95",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_94",
      "improvement_over_parent": null
    },
    "node_96": {
      "node_id": "node_96",
      "content": "INITIAL DESIGN (Trace 14)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 92.35 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.34712320608118,
      "fos_buckling": 0.16003451551429648,
      "fos_yielding": 0.739259845028638,
      "deflection": 0.06738029787261346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_97": {
      "node_id": "node_97",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n\nPerformance:\n  Mass: 98.38 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.37681594988149,
      "fos_buckling": 0.6294030478695033,
      "fos_yielding": 2.5504483651736267,
      "deflection": 0.024556533542835903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.002680)"
      },
      "parent_node_id": "node_96",
      "improvement_over_parent": null
    },
    "node_98": {
      "node_id": "node_98",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n\nPerformance:\n  Mass: 99.96 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.96487456876851,
      "fos_buckling": 0.6293176874372766,
      "fos_yielding": 2.5504189383206617,
      "deflection": 0.024559774808821606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.339)"
      },
      "parent_node_id": "node_97",
      "improvement_over_parent": null
    },
    "node_99": {
      "node_id": "node_99",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n\nPerformance:\n  Mass: 107.26 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.264664908372,
      "fos_buckling": 0.7299816508596529,
      "fos_yielding": 2.5512549693461457,
      "deflection": 0.022198902500401425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003176)"
      },
      "parent_node_id": "node_98",
      "improvement_over_parent": null
    },
    "node_100": {
      "node_id": "node_100",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n  Mass: 132.30 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.3028290980822,
      "fos_buckling": 0.8861226457945717,
      "fos_yielding": 3.1449160783106267,
      "deflection": 0.018051120125389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_99",
      "improvement_over_parent": null
    },
    "node_101": {
      "node_id": "node_101",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 169.73 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.72899688755203,
      "fos_buckling": 1.1095263906993482,
      "fos_yielding": 4.031015262303372,
      "deflection": 0.0141321121860775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_100",
      "improvement_over_parent": null
    },
    "node_102": {
      "node_id": "node_102",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 203.71 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.70893376668818,
      "fos_buckling": 1.3020178757574699,
      "fos_yielding": 4.834210243479401,
      "deflection": 0.011820455107952023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_101",
      "improvement_over_parent": null
    },
    "node_103": {
      "node_id": "node_103",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_102",
      "improvement_over_parent": null
    },
    "node_104": {
      "node_id": "node_104",
      "content": "INITIAL DESIGN (Trace 15)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 94.41 kg\n  Factor of Safety: 0.12\n  Max Deflection: 3.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 94.40741939419954,
      "fos_buckling": 0.12345136183486617,
      "fos_yielding": 2.4043973721250937,
      "deflection": 0.035981491880811456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_105": {
      "node_id": "node_105",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 117.50 kg\n  Factor of Safety: 0.15\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.5015738436525,
      "fos_buckling": 0.15070233626248045,
      "fos_yielding": 2.9907812349933747,
      "deflection": 0.02893893908403097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_104",
      "improvement_over_parent": null
    },
    "node_106": {
      "node_id": "node_106",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n\nPerformance:\n  Mass: 124.65 kg\n  Factor of Safety: 0.60\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": 124.65068220702086,
      "fos_buckling": 0.5952030266036649,
      "fos_yielding": 3.0454752520965047,
      "deflection": 0.019913022089742247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003459)"
      },
      "parent_node_id": "node_105",
      "improvement_over_parent": null
    },
    "node_107": {
      "node_id": "node_107",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n  Mass: 138.03 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.03068956994548,
      "fos_buckling": 0.651956336354112,
      "fos_yielding": 3.370933815349908,
      "deflection": 0.01800375728090585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_106",
      "improvement_over_parent": null
    },
    "node_108": {
      "node_id": "node_108",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 179.52 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.5219128228272,
      "fos_buckling": 0.8190970219699696,
      "fos_yielding": 4.378355091672003,
      "deflection": 0.01389277524620021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_107",
      "improvement_over_parent": null
    },
    "node_109": {
      "node_id": "node_109",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 199.31 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.3093108700993,
      "fos_buckling": 0.8940818716210993,
      "fos_yielding": 4.8578176239915445,
      "deflection": 0.012534994594431309,
      "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 1 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 201.55 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.55301288975264,
      "fos_buckling": 0.8987399122684834,
      "fos_yielding": 4.852350839058308,
      "deflection": 0.012404981563579243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.255)"
      },
      "parent_node_id": "node_109",
      "improvement_over_parent": null
    },
    "node_111": {
      "node_id": "node_111",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66839078947305,
      "fos_buckling": 1.53021036778647,
      "fos_yielding": 4.83599478429626,
      "deflection": 0.011228733556849377,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_110",
      "improvement_over_parent": null
    },
    "node_112": {
      "node_id": "node_112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_111",
      "improvement_over_parent": null
    },
    "node_113": {
      "node_id": "node_113",
      "content": "INITIAL DESIGN (Trace 16)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 98.36 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.36210233364748,
      "fos_buckling": 0.1947997111752461,
      "fos_yielding": 1.1086584302631943,
      "deflection": 0.05328613168528504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_114": {
      "node_id": "node_114",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 119.24 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.24441427939844,
      "fos_buckling": 0.23097916004625127,
      "fos_yielding": 1.338966449249589,
      "deflection": 0.04411063533552272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_113",
      "improvement_over_parent": null
    },
    "node_115": {
      "node_id": "node_115",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 155.07 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.07318952973048,
      "fos_buckling": 0.28893970817378745,
      "fos_yielding": 1.730056637352894,
      "deflection": 0.03412554308309979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_114",
      "improvement_over_parent": null
    },
    "node_116": {
      "node_id": "node_116",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 165.38 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.38474204303043,
      "fos_buckling": 1.1973777183804768,
      "fos_yielding": 3.8601035210030914,
      "deflection": 0.013696727669840104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005251)"
      },
      "parent_node_id": "node_115",
      "improvement_over_parent": null
    },
    "node_117": {
      "node_id": "node_117",
      "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 168.99 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.99258948904793,
      "fos_buckling": 1.2233260403629214,
      "fos_yielding": 3.943755661435462,
      "deflection": 0.013474266485462082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.230)"
      },
      "parent_node_id": "node_116",
      "improvement_over_parent": null
    },
    "node_118": {
      "node_id": "node_118",
      "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 171.22 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.2181738037824,
      "fos_buckling": 1.2232734784683268,
      "fos_yielding": 3.9435862125211547,
      "deflection": 0.013345615003321064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.236)"
      },
      "parent_node_id": "node_117",
      "improvement_over_parent": null
    },
    "node_119": {
      "node_id": "node_119",
      "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0050)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 172.57 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.5687702641397,
      "fos_buckling": 1.2233570882426865,
      "fos_yielding": 3.9438557535184873,
      "deflection": 0.013316204634008401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.188)"
      },
      "parent_node_id": "node_118",
      "improvement_over_parent": null
    },
    "node_120": {
      "node_id": "node_120",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0062)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0095)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 208.88 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.88097064392215,
      "fos_buckling": 1.446533380600256,
      "fos_yielding": 4.782362138615029,
      "deflection": 0.011056937275382393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_119",
      "improvement_over_parent": null
    },
    "node_121": {
      "node_id": "node_121",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_120",
      "improvement_over_parent": null
    },
    "node_122": {
      "node_id": "node_122",
      "content": "INITIAL DESIGN (Trace 17)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 157.96 kg\n  Factor of Safety: 0.84\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": 157.95815373383294,
      "fos_buckling": 0.8365684080868262,
      "fos_yielding": 3.920233028521021,
      "deflection": 0.014457602126130493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_123": {
      "node_id": "node_123",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 159.06 kg\n  Factor of Safety: 0.97\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": 159.0629456884539,
      "fos_buckling": 0.9685147270296396,
      "fos_yielding": 3.920312523083499,
      "deflection": 0.014330469689535181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.287)"
      },
      "parent_node_id": "node_122",
      "improvement_over_parent": null
    },
    "node_124": {
      "node_id": "node_124",
      "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 161.59 kg\n  Factor of Safety: 1.07\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": 161.5912318171076,
      "fos_buckling": 1.06663973023901,
      "fos_yielding": 3.9203999582557265,
      "deflection": 0.014148904127176853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.529)"
      },
      "parent_node_id": "node_123",
      "improvement_over_parent": null
    },
    "node_125": {
      "node_id": "node_125",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 199.64 kg\n  Factor of Safety: 1.29\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": 199.6414881827243,
      "fos_buckling": 1.2858254573262986,
      "fos_yielding": 4.83658566742106,
      "deflection": 0.011514657196057175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_124",
      "improvement_over_parent": null
    },
    "node_126": {
      "node_id": "node_126",
      "content": "MODIFICATION: Increase 20 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6838081694432,
      "fos_buckling": 1.5306642883412227,
      "fos_yielding": 4.836149791745237,
      "deflection": 0.011227807430644571,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.350)"
      },
      "parent_node_id": "node_125",
      "improvement_over_parent": null
    },
    "node_127": {
      "node_id": "node_127",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_126",
      "improvement_over_parent": null
    },
    "node_128": {
      "node_id": "node_128",
      "content": "INITIAL DESIGN (Trace 18)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 138.53 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.70e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.52588633020642,
      "fos_buckling": 0.2768115721559482,
      "fos_yielding": 1.7023864332547693,
      "deflection": 0.03695862865320659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_129": {
      "node_id": "node_129",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 176.67 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.66811341415286,
      "fos_buckling": 0.33766661669884457,
      "fos_yielding": 2.1563421881721196,
      "deflection": 0.029165454895175035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_128",
      "improvement_over_parent": null
    },
    "node_130": {
      "node_id": "node_130",
      "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 178.31 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.30922057133094,
      "fos_buckling": 0.3376202450292788,
      "fos_yielding": 2.1558955392219357,
      "deflection": 0.02912575011483479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.261)"
      },
      "parent_node_id": "node_129",
      "improvement_over_parent": null
    },
    "node_131": {
      "node_id": "node_131",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 192.19 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.19412744695254,
      "fos_buckling": 0.33722841762902733,
      "fos_yielding": 2.0737535362559028,
      "deflection": 0.02815832747307795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_130",
      "improvement_over_parent": null
    },
    "node_132": {
      "node_id": "node_132",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6819345239693,
      "fos_buckling": 1.5303003996998772,
      "fos_yielding": 4.836310844594649,
      "deflection": 0.011227747626044803,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_131",
      "improvement_over_parent": null
    },
    "node_133": {
      "node_id": "node_133",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_132",
      "improvement_over_parent": null
    },
    "node_134": {
      "node_id": "node_134",
      "content": "INITIAL DESIGN (Trace 19)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 151.25 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.2527560905608,
      "fos_buckling": 0.2948564907133672,
      "fos_yielding": 1.713762974331325,
      "deflection": 0.036933691552324344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_135": {
      "node_id": "node_135",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n  Mass: 161.81 kg\n  Factor of Safety: 1.10\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": 161.80968111122237,
      "fos_buckling": 1.0979585686507631,
      "fos_yielding": 4.045387997366966,
      "deflection": 0.014446040335857621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005386)"
      },
      "parent_node_id": "node_134",
      "improvement_over_parent": null
    },
    "node_136": {
      "node_id": "node_136",
      "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n  Mass: 163.27 kg\n  Factor of Safety: 1.10\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": 163.26584387761025,
      "fos_buckling": 1.0975028041799944,
      "fos_yielding": 4.029796771541425,
      "deflection": 0.014391370972048602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.244)"
      },
      "parent_node_id": "node_135",
      "improvement_over_parent": null
    },
    "node_137": {
      "node_id": "node_137",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 193.13 kg\n  Factor of Safety: 1.28\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": 193.12871167280028,
      "fos_buckling": 1.2794822192694135,
      "fos_yielding": 4.760525505786062,
      "deflection": 0.012212109860647608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_136",
      "improvement_over_parent": null
    },
    "node_138": {
      "node_id": "node_138",
      "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 195.28 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.28287437496152,
      "fos_buckling": 1.2806211161524965,
      "fos_yielding": 4.796086484706559,
      "deflection": 0.012083426109516215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.370)"
      },
      "parent_node_id": "node_137",
      "improvement_over_parent": null
    },
    "node_139": {
      "node_id": "node_139",
      "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 197.18 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.18453053187008,
      "fos_buckling": 1.2349934709208297,
      "fos_yielding": 4.796215848911179,
      "deflection": 0.01200767950232191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.422)"
      },
      "parent_node_id": "node_138",
      "improvement_over_parent": null
    },
    "node_140": {
      "node_id": "node_140",
      "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 200.85 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.84772026011518,
      "fos_buckling": 1.2205386592420109,
      "fos_yielding": 4.785248199567702,
      "deflection": 0.011484490504066983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.488)"
      },
      "parent_node_id": "node_139",
      "improvement_over_parent": null
    },
    "node_141": {
      "node_id": "node_141",
      "content": "MODIFICATION: Increase 20 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0082)]\n\nPerformance:\n  Mass: 203.87 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.87136843297205,
      "fos_buckling": 1.2278807905055624,
      "fos_yielding": 4.789840717025771,
      "deflection": 0.011136995209586482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.274)"
      },
      "parent_node_id": "node_140",
      "improvement_over_parent": null
    },
    "node_142": {
      "node_id": "node_142",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_141",
      "improvement_over_parent": null
    },
    "node_143": {
      "node_id": "node_143",
      "content": "INITIAL DESIGN (Trace 20)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 172.89 kg\n  Factor of Safety: 0.02\n  Max Deflection: 5.81e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.8860452230782,
      "fos_buckling": 0.019985268808517514,
      "fos_yielding": 0.49304220637717894,
      "deflection": 58051895035920.27,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_144": {
      "node_id": "node_144",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 183.90 kg\n  Factor of Safety: 0.36\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": 183.9017020989652,
      "fos_buckling": 0.3553600798017794,
      "fos_yielding": 4.869961284400015,
      "deflection": 0.014135057057630601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_143",
      "improvement_over_parent": null
    },
    "node_145": {
      "node_id": "node_145",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 193.37 kg\n  Factor of Safety: 0.43\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": 193.36601666102,
      "fos_buckling": 0.4257171426971439,
      "fos_yielding": 4.869655447464969,
      "deflection": 0.012797790870092201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_144",
      "improvement_over_parent": null
    },
    "node_146": {
      "node_id": "node_146",
      "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 195.19 kg\n  Factor of Safety: 0.43\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": 195.18629339340268,
      "fos_buckling": 0.4258058854059812,
      "fos_yielding": 4.902576776710381,
      "deflection": 0.01266435545628031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.297)"
      },
      "parent_node_id": "node_145",
      "improvement_over_parent": null
    },
    "node_147": {
      "node_id": "node_147",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70195121040302,
      "fos_buckling": 1.5304016523828619,
      "fos_yielding": 4.836796531542059,
      "deflection": 0.011226746917737713,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_146",
      "improvement_over_parent": null
    },
    "node_148": {
      "node_id": "node_148",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_147",
      "improvement_over_parent": null
    },
    "node_149": {
      "node_id": "node_149",
      "content": "INITIAL DESIGN (Trace 21)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 153.06 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.86e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.0613714304715,
      "fos_buckling": 0.12577565793771345,
      "fos_yielding": 0.9860844127543579,
      "deflection": 18611969213796.047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_150": {
      "node_id": "node_150",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 164.08 kg\n  Factor of Safety: 0.28\n  Max Deflection: 6.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.07702830635847,
      "fos_buckling": 0.2776180023111735,
      "fos_yielding": 0.6531545771344275,
      "deflection": 0.06455850544103434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_149",
      "improvement_over_parent": null
    },
    "node_151": {
      "node_id": "node_151",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 179.26 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.26158232125988,
      "fos_buckling": 0.33772785815583256,
      "fos_yielding": 2.087653881301402,
      "deflection": 0.029648379028321913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_150",
      "improvement_over_parent": null
    },
    "node_152": {
      "node_id": "node_152",
      "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0073)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 182.94 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.9382342790879,
      "fos_buckling": 0.33762395735959444,
      "fos_yielding": 2.086707823185777,
      "deflection": 0.029407428740389666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.550)"
      },
      "parent_node_id": "node_151",
      "improvement_over_parent": null
    },
    "node_153": {
      "node_id": "node_153",
      "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 186.27 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.93e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.26512388506646,
      "fos_buckling": 0.3375299957962743,
      "fos_yielding": 2.085852502878867,
      "deflection": 0.029282447160508162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.364)"
      },
      "parent_node_id": "node_152",
      "improvement_over_parent": null
    },
    "node_154": {
      "node_id": "node_154",
      "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 188.21 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.2082688834013,
      "fos_buckling": 0.337365480723114,
      "fos_yielding": 2.084355484949024,
      "deflection": 0.02809697786668029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.214)"
      },
      "parent_node_id": "node_153",
      "improvement_over_parent": null
    },
    "node_155": {
      "node_id": "node_155",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 200.70 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.69607596041806,
      "fos_buckling": 1.029717369247658,
      "fos_yielding": 4.6549661920976,
      "deflection": 0.011678361786877286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_154",
      "improvement_over_parent": null
    },
    "node_156": {
      "node_id": "node_156",
      "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0111)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 207.99 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.99358875948982,
      "fos_buckling": 1.0220527339847723,
      "fos_yielding": 4.651576247892763,
      "deflection": 0.01095786097625643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.560)"
      },
      "parent_node_id": "node_155",
      "improvement_over_parent": null
    },
    "node_157": {
      "node_id": "node_157",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 22)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 100.94 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.94336258026281,
      "fos_buckling": 0.836082826802397,
      "fos_yielding": 2.489732485816951,
      "deflection": 0.022172924495458515,
      "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 all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 125.92 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.92113637530755,
      "fos_buckling": 1.0190500803379423,
      "fos_yielding": 3.1026718737311167,
      "deflection": 0.017841061217153436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_158",
      "improvement_over_parent": null
    },
    "node_160": {
      "node_id": "node_160",
      "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 126.15 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.15424024675966,
      "fos_buckling": 1.0189343044689068,
      "fos_yielding": 3.1095803213185715,
      "deflection": 0.017842456647679913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.506)"
      },
      "parent_node_id": "node_159",
      "improvement_over_parent": null
    },
    "node_161": {
      "node_id": "node_161",
      "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 127.93 kg\n  Factor of Safety: 1.02\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": 127.93375152427828,
      "fos_buckling": 1.019194050913669,
      "fos_yielding": 3.1131492541753762,
      "deflection": 0.017570002399951663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.357)"
      },
      "parent_node_id": "node_160",
      "improvement_over_parent": null
    },
    "node_162": {
      "node_id": "node_162",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 161.20 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.1978097149932,
      "fos_buckling": 1.2450633958615593,
      "fos_yielding": 3.9178562838389794,
      "deflection": 0.014015085692073534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_161",
      "improvement_over_parent": null
    },
    "node_163": {
      "node_id": "node_163",
      "content": "MODIFICATION: Increase 19 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 163.51 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.50891146510887,
      "fos_buckling": 1.2796521804686465,
      "fos_yielding": 3.9178884269475995,
      "deflection": 0.01391669803515103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.280)"
      },
      "parent_node_id": "node_162",
      "improvement_over_parent": null
    },
    "node_164": {
      "node_id": "node_164",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.29 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.29431162467202,
      "fos_buckling": 1.5319083688891737,
      "fos_yielding": 4.865259275111677,
      "deflection": 0.011259390156747824,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_163",
      "improvement_over_parent": null
    },
    "node_165": {
      "node_id": "node_165",
      "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.94 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.93958238925953,
      "fos_buckling": 1.531799416129435,
      "fos_yielding": 4.842344902478166,
      "deflection": 0.011214022824206317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.294)"
      },
      "parent_node_id": "node_164",
      "improvement_over_parent": null
    },
    "node_166": {
      "node_id": "node_166",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_165",
      "improvement_over_parent": null
    },
    "node_167": {
      "node_id": "node_167",
      "content": "INITIAL DESIGN (Trace 23)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 141.62 kg\n  Factor of Safety: 0.82\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": 141.62235819908108,
      "fos_buckling": 0.8176651949079148,
      "fos_yielding": 4.09912980424862,
      "deflection": 0.0210858449797502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_168": {
      "node_id": "node_168",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 142.19 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.19060504433682,
      "fos_buckling": 0.2872953299498942,
      "fos_yielding": 4.09912980424862,
      "deflection": 0.01842075336938429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001554)"
      },
      "parent_node_id": "node_167",
      "improvement_over_parent": null
    },
    "node_169": {
      "node_id": "node_169",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 179.15 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.151635240274,
      "fos_buckling": 0.3453670217659415,
      "fos_yielding": 5.162306413940332,
      "deflection": 0.014710436766807366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_168",
      "improvement_over_parent": null
    },
    "node_170": {
      "node_id": "node_170",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 180.28 kg\n  Factor of Safety: 1.09\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": 180.27828306056063,
      "fos_buckling": 1.0943343987300689,
      "fos_yielding": 5.162306413940332,
      "deflection": 0.013497461162961034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_169",
      "improvement_over_parent": null
    },
    "node_171": {
      "node_id": "node_171",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 194.16 kg\n  Factor of Safety: 1.16\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": 194.16318993618222,
      "fos_buckling": 1.1554703503208443,
      "fos_yielding": 5.162306413940332,
      "deflection": 0.012215754786293408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_170",
      "improvement_over_parent": null
    },
    "node_172": {
      "node_id": "node_172",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 196.93 kg\n  Factor of Safety: 1.15\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": 196.9304477528323,
      "fos_buckling": 1.154153529203185,
      "fos_yielding": 5.162306413940332,
      "deflection": 0.011863473712764626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.332)"
      },
      "parent_node_id": "node_171",
      "improvement_over_parent": null
    },
    "node_173": {
      "node_id": "node_173",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71209626508477,
      "fos_buckling": 1.530404636147861,
      "fos_yielding": 4.836812784626616,
      "deflection": 0.011225776187733488,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_172",
      "improvement_over_parent": null
    },
    "node_174": {
      "node_id": "node_174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 24)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n  Mass: 171.08 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.0849282303115,
      "fos_buckling": 0.4882412544011418,
      "fos_yielding": 2.431877190281747,
      "deflection": 0.021310704504203234,
      "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 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n  Mass: 172.58 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.58001127139664,
      "fos_buckling": 0.4882412544011418,
      "fos_yielding": 3.2794253913633575,
      "deflection": 0.020625248048850877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.445)"
      },
      "parent_node_id": "node_175",
      "improvement_over_parent": null
    },
    "node_177": {
      "node_id": "node_177",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.43 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.42822276037515,
      "fos_buckling": 1.4742720126228108,
      "fos_yielding": 4.8472335875759285,
      "deflection": 0.011958339004241382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_176",
      "improvement_over_parent": null
    },
    "node_178": {
      "node_id": "node_178",
      "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.15 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.14551755630643,
      "fos_buckling": 1.4749397016384538,
      "fos_yielding": 4.849452824216846,
      "deflection": 0.011801947534673353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.203)"
      },
      "parent_node_id": "node_177",
      "improvement_over_parent": null
    },
    "node_179": {
      "node_id": "node_179",
      "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.88 kg\n  Factor of Safety: 1.47\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": 196.88089565298236,
      "fos_buckling": 1.4738678520607191,
      "fos_yielding": 4.847020620388423,
      "deflection": 0.011805051089741699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.277)"
      },
      "parent_node_id": "node_178",
      "improvement_over_parent": null
    },
    "node_180": {
      "node_id": "node_180",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.16 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.16404760222252,
      "fos_buckling": 1.4714707126382272,
      "fos_yielding": 4.840610336287051,
      "deflection": 0.011448292934013116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.418)"
      },
      "parent_node_id": "node_179",
      "improvement_over_parent": null
    },
    "node_181": {
      "node_id": "node_181",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.88017942869618,
      "fos_buckling": 1.4728851599531723,
      "fos_yielding": 4.83675085445648,
      "deflection": 0.011339329947057797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_180",
      "improvement_over_parent": null
    },
    "node_182": {
      "node_id": "node_182",
      "content": "MODIFICATION: Increase 19 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0109)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 208.40 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.10e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 208.4018165831093,
      "fos_buckling": 1.5725748439707792,
      "fos_yielding": 4.836262325875604,
      "deflection": 0.01104996251495392,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.414)"
      },
      "parent_node_id": "node_181",
      "improvement_over_parent": null
    },
    "node_183": {
      "node_id": "node_183",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_182",
      "improvement_over_parent": null
    },
    "node_184": {
      "node_id": "node_184",
      "content": "INITIAL DESIGN (Trace 25)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 139.04 kg\n  Factor of Safety: 0.77\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": 139.03606883038935,
      "fos_buckling": 0.7655909434282531,
      "fos_yielding": 4.052564917487757,
      "deflection": 0.019258659168527426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_185": {
      "node_id": "node_185",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 143.20 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.20263398348186,
      "fos_buckling": 0.8957360686757073,
      "fos_yielding": 3.783300962688437,
      "deflection": 0.018295576488473627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003242)"
      },
      "parent_node_id": "node_184",
      "improvement_over_parent": null
    },
    "node_186": {
      "node_id": "node_186",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 145.75 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.74632342198134,
      "fos_buckling": 0.8957360686757092,
      "fos_yielding": 4.414128973361008,
      "deflection": 0.018156716748670906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.626)"
      },
      "parent_node_id": "node_185",
      "improvement_over_parent": null
    },
    "node_187": {
      "node_id": "node_187",
      "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 147.43 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.4266268363398,
      "fos_buckling": 0.895693385069115,
      "fos_yielding": 4.412349212152559,
      "deflection": 0.018087684658163333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.302)"
      },
      "parent_node_id": "node_186",
      "improvement_over_parent": null
    },
    "node_188": {
      "node_id": "node_188",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n\nPerformance:\n  Mass: 154.86 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.85555318504933,
      "fos_buckling": 0.9186772970217261,
      "fos_yielding": 4.3415820057596735,
      "deflection": 0.01655501693624812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004329)"
      },
      "parent_node_id": "node_187",
      "improvement_over_parent": null
    },
    "node_189": {
      "node_id": "node_189",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0093)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0062)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 197.17 kg\n  Factor of Safety: 1.14\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": 197.17063602209373,
      "fos_buckling": 1.144789561830189,
      "fos_yielding": 5.518725922611428,
      "deflection": 0.0130417773828309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_188",
      "improvement_over_parent": null
    },
    "node_190": {
      "node_id": "node_190",
      "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0093)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0062)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 201.55 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.55319954941106,
      "fos_buckling": 1.1334960089128976,
      "fos_yielding": 5.520997540279197,
      "deflection": 0.012381806091791696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.639)"
      },
      "parent_node_id": "node_189",
      "improvement_over_parent": null
    },
    "node_191": {
      "node_id": "node_191",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 26)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 150.87 kg\n  Factor of Safety: 0.09\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": 150.8738463284473,
      "fos_buckling": 0.09278873986586465,
      "fos_yielding": 2.222081605486271,
      "deflection": 0.015404657944881358,
      "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: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n  Mass: 160.39 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.39004176965713,
      "fos_buckling": 0.3665894789055513,
      "fos_yielding": 3.227342121336361,
      "deflection": 0.015665119305482967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004693)"
      },
      "parent_node_id": "node_192",
      "improvement_over_parent": null
    },
    "node_194": {
      "node_id": "node_194",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 192.68 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.6849607440414,
      "fos_buckling": 0.425802451094207,
      "fos_yielding": 3.891923071805276,
      "deflection": 0.013099746301252435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_193",
      "improvement_over_parent": null
    },
    "node_195": {
      "node_id": "node_195",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 194.11 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.10936229603777,
      "fos_buckling": 0.425802451094207,
      "fos_yielding": 5.150190198436442,
      "deflection": 0.013099746301252435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.355)"
      },
      "parent_node_id": "node_194",
      "improvement_over_parent": null
    },
    "node_196": {
      "node_id": "node_196",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 0.43\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": 195.2360101163244,
      "fos_buckling": 0.4259123275270792,
      "fos_yielding": 4.905466836306472,
      "deflection": 0.012661348355714972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_195",
      "improvement_over_parent": null
    },
    "node_197": {
      "node_id": "node_197",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75166793332474,
      "fos_buckling": 1.5307003388848712,
      "fos_yielding": 4.839645480075347,
      "deflection": 0.011224106412317369,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_196",
      "improvement_over_parent": null
    },
    "node_198": {
      "node_id": "node_198",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 27)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n  Mass: 119.41 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.40512717061607,
      "fos_buckling": 0.5582025731105787,
      "fos_yielding": 3.2211498717777682,
      "deflection": 0.021582411713779937,
      "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: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 154.90 kg\n  Factor of Safety: 0.70\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": 154.89759289541558,
      "fos_buckling": 0.7029488493578616,
      "fos_yielding": 4.176244460423872,
      "deflection": 0.016678402463144323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_199",
      "improvement_over_parent": null
    },
    "node_201": {
      "node_id": "node_201",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 157.42 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.41852509159938,
      "fos_buckling": 0.973831191259272,
      "fos_yielding": 4.176244460423873,
      "deflection": 0.014916176036593929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003310)"
      },
      "parent_node_id": "node_200",
      "improvement_over_parent": null
    },
    "node_202": {
      "node_id": "node_202",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n  Mass: 161.71 kg\n  Factor of Safety: 1.08\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": 161.7140720933189,
      "fos_buckling": 1.079531561232746,
      "fos_yielding": 3.9172892166681055,
      "deflection": 0.01413302974647109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003350)"
      },
      "parent_node_id": "node_201",
      "improvement_over_parent": null
    },
    "node_203": {
      "node_id": "node_203",
      "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0044)]\n\nPerformance:\n  Mass: 162.97 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.97139537764798,
      "fos_buckling": 1.079472518730233,
      "fos_yielding": 3.903494994782105,
      "deflection": 0.014090918531889752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.323)"
      },
      "parent_node_id": "node_202",
      "improvement_over_parent": null
    },
    "node_204": {
      "node_id": "node_204",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0056)]\n\nPerformance:\n  Mass: 201.45 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.44637553049435,
      "fos_buckling": 1.3012118234416665,
      "fos_yielding": 4.81937518179917,
      "deflection": 0.011460517174607816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_203",
      "improvement_over_parent": null
    },
    "node_205": {
      "node_id": "node_205",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_204",
      "improvement_over_parent": null
    },
    "node_206": {
      "node_id": "node_206",
      "content": "INITIAL DESIGN (Trace 28)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 134.98 kg\n  Factor of Safety: 0.66\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": 134.9753432929909,
      "fos_buckling": 0.6585747850661061,
      "fos_yielding": 3.3594542185454133,
      "deflection": 0.017939504027494696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_207": {
      "node_id": "node_207",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n\nPerformance:\n  Mass: 137.15 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.1506915419974,
      "fos_buckling": 0.958702247306357,
      "fos_yielding": 3.3212449590413673,
      "deflection": 0.016430407390060582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002827)"
      },
      "parent_node_id": "node_206",
      "improvement_over_parent": null
    },
    "node_208": {
      "node_id": "node_208",
      "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n\nPerformance:\n  Mass: 140.09 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.09156780880937,
      "fos_buckling": 1.0825513592922058,
      "fos_yielding": 3.3513516957749343,
      "deflection": 0.016043667135229176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.613)"
      },
      "parent_node_id": "node_207",
      "improvement_over_parent": null
    },
    "node_209": {
      "node_id": "node_209",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 172.90 kg\n  Factor of Safety: 1.28\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": 172.8966401360508,
      "fos_buckling": 1.2846993949679817,
      "fos_yielding": 4.131481690661877,
      "deflection": 0.01306215774194997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_208",
      "improvement_over_parent": null
    },
    "node_210": {
      "node_id": "node_210",
      "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 177.56 kg\n  Factor of Safety: 1.30\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": 177.5565731410199,
      "fos_buckling": 1.303730348120952,
      "fos_yielding": 4.136945818656346,
      "deflection": 0.013257641640583046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.536)"
      },
      "parent_node_id": "node_209",
      "improvement_over_parent": null
    },
    "node_211": {
      "node_id": "node_211",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 178.53 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.5272434071422,
      "fos_buckling": 1.1835979922053554,
      "fos_yielding": 4.180168928840386,
      "deflection": 0.01329960260452715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002130)"
      },
      "parent_node_id": "node_210",
      "improvement_over_parent": null
    },
    "node_212": {
      "node_id": "node_212",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0059)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0088)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 207.02 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.0172728041525,
      "fos_buckling": 1.3517518912315865,
      "fos_yielding": 4.8461293940600045,
      "deflection": 0.011505002577550274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_211",
      "improvement_over_parent": null
    },
    "node_213": {
      "node_id": "node_213",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_212",
      "improvement_over_parent": null
    },
    "node_214": {
      "node_id": "node_214",
      "content": "INITIAL DESIGN (Trace 29)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 123.97 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.87e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.9693690788244,
      "fos_buckling": 0.43248830663547616,
      "fos_yielding": 3.28072374334251,
      "deflection": 28656986880229.633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_215": {
      "node_id": "node_215",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n  Mass: 131.98 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.9754864320191,
      "fos_buckling": 0.2058708826151165,
      "fos_yielding": 0.906033758735956,
      "deflection": 0.048530273518864186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003900)"
      },
      "parent_node_id": "node_214",
      "improvement_over_parent": null
    },
    "node_216": {
      "node_id": "node_216",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n\nPerformance:\n  Mass: 160.08 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.0842850736652,
      "fos_buckling": 0.2422923790105303,
      "fos_yielding": 1.0953330349010184,
      "deflection": 0.040152607840576844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_215",
      "improvement_over_parent": null
    },
    "node_217": {
      "node_id": "node_217",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 173.00 kg\n  Factor of Safety: 1.16\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": 172.99509556244817,
      "fos_buckling": 1.1633953375912616,
      "fos_yielding": 4.04799330011741,
      "deflection": 0.013105683216838292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005976)"
      },
      "parent_node_id": "node_216",
      "improvement_over_parent": null
    },
    "node_218": {
      "node_id": "node_218",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 173.95 kg\n  Factor of Safety: 1.34\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": 173.95270015872217,
      "fos_buckling": 1.3387777028804042,
      "fos_yielding": 4.113450872937936,
      "deflection": 0.013151526500265862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002099)"
      },
      "parent_node_id": "node_217",
      "improvement_over_parent": null
    },
    "node_219": {
      "node_id": "node_219",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52085268620678,
      "fos_buckling": 1.5292455250740566,
      "fos_yielding": 4.832338810114635,
      "deflection": 0.011235808438537227,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_218",
      "improvement_over_parent": null
    },
    "node_220": {
      "node_id": "node_220",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_219",
      "improvement_over_parent": null
    },
    "node_221": {
      "node_id": "node_221",
      "content": "INITIAL DESIGN (Trace 30)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 187.38 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.38364369925208,
      "fos_buckling": 0.4254246944665406,
      "fos_yielding": 5.162266572147205,
      "deflection": 0.013117253981036461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_222": {
      "node_id": "node_222",
      "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.88 kg\n  Factor of Safety: 0.43\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": 189.8765074947101,
      "fos_buckling": 0.4255460696658598,
      "fos_yielding": 5.161214647430548,
      "deflection": 0.013119941091571266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.517)"
      },
      "parent_node_id": "node_221",
      "improvement_over_parent": null
    },
    "node_223": {
      "node_id": "node_223",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 195.18 kg\n  Factor of Safety: 0.43\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": 195.1845529717046,
      "fos_buckling": 0.4258047442986778,
      "fos_yielding": 4.9025711050544345,
      "deflection": 0.012664471119112647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_222",
      "improvement_over_parent": null
    },
    "node_224": {
      "node_id": "node_224",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70021078870494,
      "fos_buckling": 1.530394127359872,
      "fos_yielding": 4.83679069742364,
      "deflection": 0.011226817271096345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_223",
      "improvement_over_parent": null
    },
    "node_225": {
      "node_id": "node_225",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_224",
      "improvement_over_parent": null
    },
    "node_226": {
      "node_id": "node_226",
      "content": "INITIAL DESIGN (Trace 31)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 102.60 kg\n  Factor of Safety: 0.03\n  Max Deflection: 4.28e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.59721995711244,
      "fos_buckling": 0.028592387277314318,
      "fos_yielding": 0.6573896085029051,
      "deflection": 42773556118809.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_227": {
      "node_id": "node_227",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 133.38 kg\n  Factor of Safety: 0.07\n  Max Deflection: 5.57e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.37526677604458,
      "fos_buckling": 0.06545590591218148,
      "fos_yielding": 0.9860844127543579,
      "deflection": 55738229415290.016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_226",
      "improvement_over_parent": null
    },
    "node_228": {
      "node_id": "node_228",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 135.35 kg\n  Factor of Safety: 0.00\n  Max Deflection: 7.75e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.34758363330064,
      "fos_buckling": 0.00173344866064068,
      "fos_yielding": 0.04108685053143158,
      "deflection": 774687082967177.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.395)"
      },
      "parent_node_id": "node_227",
      "improvement_over_parent": null
    },
    "node_229": {
      "node_id": "node_229",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 144.19 kg\n  Factor of Safety: 0.22\n  Max Deflection: 5.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.18508293737693,
      "fos_buckling": 0.22406776956249008,
      "fos_yielding": 1.0813053530015173,
      "deflection": 0.05026500827672939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004334)"
      },
      "parent_node_id": "node_228",
      "improvement_over_parent": null
    },
    "node_230": {
      "node_id": "node_230",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 146.59 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.34e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.59380462974764,
      "fos_buckling": 0.22397688816709926,
      "fos_yielding": 1.0808606026660745,
      "deflection": 0.043418349929269164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003152)"
      },
      "parent_node_id": "node_229",
      "improvement_over_parent": null
    },
    "node_231": {
      "node_id": "node_231",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 189.47 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.46626836952922,
      "fos_buckling": 0.2763088334693361,
      "fos_yielding": 1.3899153004783036,
      "deflection": 0.033777310139023194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_230",
      "improvement_over_parent": null
    },
    "node_232": {
      "node_id": "node_232",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65082238443063,
      "fos_buckling": 1.5300465142954551,
      "fos_yielding": 4.835706680100164,
      "deflection": 0.011228826308206517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_231",
      "improvement_over_parent": null
    },
    "node_233": {
      "node_id": "node_233",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 32)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 181.42 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": 181.42438019840785,
      "fos_buckling": 0.44531828431154724,
      "fos_yielding": 2.959837987700955,
      "deflection": 0.01508716860544012,
      "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 17 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 185.28 kg\n  Factor of Safety: 0.44\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": 185.2805275267608,
      "fos_buckling": 0.44436255192745194,
      "fos_yielding": 2.95965108608351,
      "deflection": 0.015077772987527986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.422)"
      },
      "parent_node_id": "node_234",
      "improvement_over_parent": null
    },
    "node_236": {
      "node_id": "node_236",
      "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.94 kg\n  Factor of Safety: 0.44\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": 186.9407705631828,
      "fos_buckling": 0.4443625519274526,
      "fos_yielding": 4.138064613383422,
      "deflection": 0.01470714853843435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.437)"
      },
      "parent_node_id": "node_235",
      "improvement_over_parent": null
    },
    "node_237": {
      "node_id": "node_237",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 199.48 kg\n  Factor of Safety: 0.90\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": 199.4797629031521,
      "fos_buckling": 0.9022536893394845,
      "fos_yielding": 4.856191675399473,
      "deflection": 0.012403913431848546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_236",
      "improvement_over_parent": null
    },
    "node_238": {
      "node_id": "node_238",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 202.60 kg\n  Factor of Safety: 1.47\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": 202.59514080287252,
      "fos_buckling": 1.466322927856174,
      "fos_yielding": 4.839853284319231,
      "deflection": 0.01129645615039458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_237",
      "improvement_over_parent": null
    },
    "node_239": {
      "node_id": "node_239",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70000087733962,
      "fos_buckling": 1.5303425694956736,
      "fos_yielding": 4.8398896877156,
      "deflection": 0.01122673971476654,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.314)"
      },
      "parent_node_id": "node_238",
      "improvement_over_parent": null
    },
    "node_240": {
      "node_id": "node_240",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_239",
      "improvement_over_parent": null
    },
    "node_241": {
      "node_id": "node_241",
      "content": "INITIAL DESIGN (Trace 33)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 108.21 kg\n  Factor of Safety: 0.16\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": 108.20615838212136,
      "fos_buckling": 0.1562931811364685,
      "fos_yielding": 2.764870947675902,
      "deflection": 0.02096163099322219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_242": {
      "node_id": "node_242",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 138.37 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.3692302356503,
      "fos_buckling": 0.19455043117800863,
      "fos_yielding": 3.5316459361981245,
      "deflection": 0.0164303084114511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_241",
      "improvement_over_parent": null
    },
    "node_243": {
      "node_id": "node_243",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 140.36 kg\n  Factor of Safety: 0.19\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": 140.359726202522,
      "fos_buckling": 0.19445331390478832,
      "fos_yielding": 3.5314679996474974,
      "deflection": 0.015750920760759197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.229)"
      },
      "parent_node_id": "node_242",
      "improvement_over_parent": null
    },
    "node_244": {
      "node_id": "node_244",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 159.50 kg\n  Factor of Safety: 0.22\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": 159.4977584958493,
      "fos_buckling": 0.21719914145295527,
      "fos_yielding": 4.010636473073844,
      "deflection": 0.01388580772175157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_243",
      "improvement_over_parent": null
    },
    "node_245": {
      "node_id": "node_245",
      "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 160.83 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.8328756167219,
      "fos_buckling": 0.2153097261464248,
      "fos_yielding": 4.034823237746193,
      "deflection": 0.013823595739654292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.198)"
      },
      "parent_node_id": "node_244",
      "improvement_over_parent": null
    },
    "node_246": {
      "node_id": "node_246",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.89 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.88555284625744,
      "fos_buckling": 0.24866681180592354,
      "fos_yielding": 4.784412638411937,
      "deflection": 0.011679677442797564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_245",
      "improvement_over_parent": null
    },
    "node_247": {
      "node_id": "node_247",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 202.31 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.31275301229707,
      "fos_buckling": 1.3712503292726008,
      "fos_yielding": 4.803591158006231,
      "deflection": 0.011353079973467723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_246",
      "improvement_over_parent": null
    },
    "node_248": {
      "node_id": "node_248",
      "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74297098845008,
      "fos_buckling": 1.5306318814102282,
      "fos_yielding": 4.8376982845533005,
      "deflection": 0.011223538794091653,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.264)"
      },
      "parent_node_id": "node_247",
      "improvement_over_parent": null
    },
    "node_249": {
      "node_id": "node_249",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_248",
      "improvement_over_parent": null
    },
    "node_250": {
      "node_id": "node_250",
      "content": "INITIAL DESIGN (Trace 34)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 158.75 kg\n  Factor of Safety: 0.98\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": 158.74840236247726,
      "fos_buckling": 0.9750548959579136,
      "fos_yielding": 3.615754478044273,
      "deflection": 0.014567145004009343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_251": {
      "node_id": "node_251",
      "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 159.52 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.51651489831434,
      "fos_buckling": 0.9750548959579136,
      "fos_yielding": 4.296398621517088,
      "deflection": 0.014567145004009343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.203)"
      },
      "parent_node_id": "node_250",
      "improvement_over_parent": null
    },
    "node_252": {
      "node_id": "node_252",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n  Mass: 165.99 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.99392026037214,
      "fos_buckling": 0.9681721714828524,
      "fos_yielding": 4.030124224552534,
      "deflection": 0.01381277003071544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003871)"
      },
      "parent_node_id": "node_251",
      "improvement_over_parent": null
    },
    "node_253": {
      "node_id": "node_253",
      "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n  Mass: 166.92 kg\n  Factor of Safety: 1.27\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": 166.91710248171736,
      "fos_buckling": 1.2744337889637283,
      "fos_yielding": 4.028993618563181,
      "deflection": 0.013778071824536295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.595)"
      },
      "parent_node_id": "node_252",
      "improvement_over_parent": null
    },
    "node_254": {
      "node_id": "node_254",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 200.56 kg\n  Factor of Safety: 1.48\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": 200.56017984908755,
      "fos_buckling": 1.4839074093755424,
      "fos_yielding": 4.8353748530398954,
      "deflection": 0.011520932417822264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_253",
      "improvement_over_parent": null
    },
    "node_255": {
      "node_id": "node_255",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71191031024915,
      "fos_buckling": 1.5304713400990817,
      "fos_yielding": 4.834961383749358,
      "deflection": 0.011226197155915931,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.453)"
      },
      "parent_node_id": "node_254",
      "improvement_over_parent": null
    },
    "node_256": {
      "node_id": "node_256",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_255",
      "improvement_over_parent": null
    },
    "node_257": {
      "node_id": "node_257",
      "content": "INITIAL DESIGN (Trace 35)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 162.14 kg\n  Factor of Safety: 1.02\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": 162.14010380363436,
      "fos_buckling": 1.0249240037454632,
      "fos_yielding": 4.437726228166725,
      "deflection": 0.014476019252861457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_258": {
      "node_id": "node_258",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.66 kg\n  Factor of Safety: 1.16\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": 188.6555416934285,
      "fos_buckling": 1.1556818390936812,
      "fos_yielding": 5.160223769185067,
      "deflection": 0.01249027013908173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_257",
      "improvement_over_parent": null
    },
    "node_259": {
      "node_id": "node_259",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.63 kg\n  Factor of Safety: 1.16\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": 190.63192306645084,
      "fos_buckling": 1.1551167918782308,
      "fos_yielding": 5.160223769185067,
      "deflection": 0.012202874414231728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.330)"
      },
      "parent_node_id": "node_258",
      "improvement_over_parent": null
    },
    "node_260": {
      "node_id": "node_260",
      "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.92 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.92078552988187,
      "fos_buckling": 1.154708407716111,
      "fos_yielding": 5.160223769185067,
      "deflection": 0.011895762080586174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.475)"
      },
      "parent_node_id": "node_259",
      "improvement_over_parent": null
    },
    "node_261": {
      "node_id": "node_261",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 202.70 kg\n  Factor of Safety: 1.46\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": 202.70243404213434,
      "fos_buckling": 1.4596070021711376,
      "fos_yielding": 4.839142463733772,
      "deflection": 0.011270636523425087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_260",
      "improvement_over_parent": null
    },
    "node_262": {
      "node_id": "node_262",
      "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0072)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 205.40 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.3985036487756,
      "fos_buckling": 1.5216492294955253,
      "fos_yielding": 4.84273527647173,
      "deflection": 0.011153335371713303,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.277)"
      },
      "parent_node_id": "node_261",
      "improvement_over_parent": null
    },
    "node_263": {
      "node_id": "node_263",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_262",
      "improvement_over_parent": null
    },
    "node_264": {
      "node_id": "node_264",
      "content": "INITIAL DESIGN (Trace 36)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n  Mass: 100.92 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.02e-01 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.92290408950902,
      "fos_buckling": 0.19459618676569873,
      "fos_yielding": 0.43070460514717585,
      "deflection": 0.1015391831066381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_265": {
      "node_id": "node_265",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 126.17 kg\n  Factor of Safety: 0.24\n  Max Deflection: 8.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.17343486359178,
      "fos_buckling": 0.23555822554433045,
      "fos_yielding": 0.5363848634968571,
      "deflection": 0.08151142624760932,
      "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 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 127.67 kg\n  Factor of Safety: 0.24\n  Max Deflection: 8.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.67003174700653,
      "fos_buckling": 0.23552846304082606,
      "fos_yielding": 0.5363170036593816,
      "deflection": 0.08077999669136751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.258)"
      },
      "parent_node_id": "node_265",
      "improvement_over_parent": null
    },
    "node_267": {
      "node_id": "node_267",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n  Mass: 137.87 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.53e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.87221231580307,
      "fos_buckling": 0.23492144266576617,
      "fos_yielding": 1.1426523444301768,
      "deflection": 0.045266933767023475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005191)"
      },
      "parent_node_id": "node_266",
      "improvement_over_parent": null
    },
    "node_268": {
      "node_id": "node_268",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 150.28 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.27974592031026,
      "fos_buckling": 0.41312218849850463,
      "fos_yielding": 2.795493956426688,
      "deflection": 0.02252576017860316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005725)"
      },
      "parent_node_id": "node_267",
      "improvement_over_parent": null
    },
    "node_269": {
      "node_id": "node_269",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 167.31 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.31352741613006,
      "fos_buckling": 1.2955064858887984,
      "fos_yielding": 3.957725247185228,
      "deflection": 0.01366234518822375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006210)"
      },
      "parent_node_id": "node_268",
      "improvement_over_parent": null
    },
    "node_270": {
      "node_id": "node_270",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64548112730265,
      "fos_buckling": 1.5298344210135315,
      "fos_yielding": 4.835945473357503,
      "deflection": 0.011230946421498317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_269",
      "improvement_over_parent": null
    },
    "node_271": {
      "node_id": "node_271",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_270",
      "improvement_over_parent": null
    },
    "node_272": {
      "node_id": "node_272",
      "content": "INITIAL DESIGN (Trace 37)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 118.44 kg\n  Factor of Safety: 0.06\n  Max Deflection: 3.17e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.44101715482303,
      "fos_buckling": 0.0553319224529168,
      "fos_yielding": 0.7888675302034862,
      "deflection": 31693243507204.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_273": {
      "node_id": "node_273",
      "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 118.67 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.48e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.66887358819386,
      "fos_buckling": 0.5349682623217984,
      "fos_yielding": 3.137617682433322,
      "deflection": 14799196061339.725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.479)"
      },
      "parent_node_id": "node_272",
      "improvement_over_parent": null
    },
    "node_274": {
      "node_id": "node_274",
      "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 119.75 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.48e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.74998110428298,
      "fos_buckling": 0.5349682623217984,
      "fos_yielding": 3.249655952501714,
      "deflection": 14799196061339.725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.502)"
      },
      "parent_node_id": "node_273",
      "improvement_over_parent": null
    },
    "node_275": {
      "node_id": "node_275",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n  Mass: 125.33 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.33444432712021,
      "fos_buckling": 0.16940714179487962,
      "fos_yielding": 3.1289820864968125,
      "deflection": 0.017817842403156436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003119)"
      },
      "parent_node_id": "node_274",
      "improvement_over_parent": null
    },
    "node_276": {
      "node_id": "node_276",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n\nPerformance:\n  Mass: 138.86 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.8615621293183,
      "fos_buckling": 0.185547688495356,
      "fos_yielding": 3.4654301050953187,
      "deflection": 0.016101425580750447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_275",
      "improvement_over_parent": null
    },
    "node_277": {
      "node_id": "node_277",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n  Mass: 147.07 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.07183673517514,
      "fos_buckling": 1.1603947087613473,
      "fos_yielding": 3.480459134539251,
      "deflection": 0.015495148149379127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004006)"
      },
      "parent_node_id": "node_276",
      "improvement_over_parent": null
    },
    "node_278": {
      "node_id": "node_278",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 183.93 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.92630175945263,
      "fos_buckling": 1.4024317619847166,
      "fos_yielding": 4.3483227584606,
      "deflection": 0.012457226150941365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_277",
      "improvement_over_parent": null
    },
    "node_279": {
      "node_id": "node_279",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84616773932697,
      "fos_buckling": 1.5312630621272536,
      "fos_yielding": 4.840189910568028,
      "deflection": 0.011219150722748483,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_278",
      "improvement_over_parent": null
    },
    "node_280": {
      "node_id": "node_280",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_279",
      "improvement_over_parent": null
    },
    "node_281": {
      "node_id": "node_281",
      "content": "INITIAL DESIGN (Trace 38)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 103.98 kg\n  Factor of Safety: 0.41\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": 103.98145941915223,
      "fos_buckling": 0.4070923488128716,
      "fos_yielding": 2.6738225686117043,
      "deflection": 0.02313821838560511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_282": {
      "node_id": "node_282",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 116.32 kg\n  Factor of Safety: 0.45\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": 116.31673509638992,
      "fos_buckling": 0.4534758874381716,
      "fos_yielding": 2.989748240683859,
      "deflection": 0.020703706796100334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_281",
      "improvement_over_parent": null
    },
    "node_283": {
      "node_id": "node_283",
      "content": "MODIFICATION: Increase 16 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 118.72 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.71587004532827,
      "fos_buckling": 0.665029109150524,
      "fos_yielding": 2.989595986312826,
      "deflection": 0.02017659704149897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.546)"
      },
      "parent_node_id": "node_282",
      "improvement_over_parent": null
    },
    "node_284": {
      "node_id": "node_284",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 150.29 kg\n  Factor of Safety: 0.82\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": 150.2887143502536,
      "fos_buckling": 0.8205161793567987,
      "fos_yielding": 3.7814048568166916,
      "deflection": 0.015981712165084747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_283",
      "improvement_over_parent": null
    },
    "node_285": {
      "node_id": "node_285",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.01 kg\n  Factor of Safety: 1.02\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": 193.0054743054199,
      "fos_buckling": 1.016387779627661,
      "fos_yielding": 4.850505537425912,
      "deflection": 0.012490760849363555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_284",
      "improvement_over_parent": null
    },
    "node_286": {
      "node_id": "node_286",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 201.62 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.6159633384938,
      "fos_buckling": 0.8989011716998583,
      "fos_yielding": 4.853937292843491,
      "deflection": 0.012401082937424734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_285",
      "improvement_over_parent": null
    },
    "node_287": {
      "node_id": "node_287",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7313412382142,
      "fos_buckling": 1.5305926700635064,
      "fos_yielding": 4.837577769833247,
      "deflection": 0.011224954518608776,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_286",
      "improvement_over_parent": null
    },
    "node_288": {
      "node_id": "node_288",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_287",
      "improvement_over_parent": null
    },
    "node_289": {
      "node_id": "node_289",
      "content": "INITIAL DESIGN (Trace 39)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n  Mass: 142.67 kg\n  Factor of Safety: 0.31\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": 142.66716866121357,
      "fos_buckling": 0.3080413959058774,
      "fos_yielding": 2.704922699754137,
      "deflection": 0.019447897287746808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_290": {
      "node_id": "node_290",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 154.30 kg\n  Factor of Safety: 0.40\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": 154.29607577367582,
      "fos_buckling": 0.40331807893406774,
      "fos_yielding": 4.109428565025099,
      "deflection": 0.016007356257404227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005205)"
      },
      "parent_node_id": "node_289",
      "improvement_over_parent": null
    },
    "node_291": {
      "node_id": "node_291",
      "content": "MODIFICATION: Increase 19 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0076)]\n\nPerformance:\n  Mass: 159.09 kg\n  Factor of Safety: 0.41\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": 159.089239589943,
      "fos_buckling": 0.4125786430207582,
      "fos_yielding": 4.080806504056026,
      "deflection": 0.015755897407637633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.462)"
      },
      "parent_node_id": "node_290",
      "improvement_over_parent": null
    },
    "node_292": {
      "node_id": "node_292",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0092)]\n\nPerformance:\n  Mass: 190.01 kg\n  Factor of Safety: 0.48\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": 190.0131865901291,
      "fos_buckling": 0.4761458189784133,
      "fos_yielding": 4.877526600343572,
      "deflection": 0.013237525358428173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_291",
      "improvement_over_parent": null
    },
    "node_293": {
      "node_id": "node_293",
      "content": "MODIFICATION: Increase 19 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0138)]\n\nPerformance:\n  Mass: 197.70 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.702522156443,
      "fos_buckling": 0.4845198641486633,
      "fos_yielding": 4.784328912317376,
      "deflection": 0.013077630421238018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.499)"
      },
      "parent_node_id": "node_292",
      "improvement_over_parent": null
    },
    "node_294": {
      "node_id": "node_294",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0138)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 207.22 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.21817997344334,
      "fos_buckling": 1.0508256842887866,
      "fos_yielding": 4.792993900060807,
      "deflection": 0.011748223747627613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_293",
      "improvement_over_parent": null
    },
    "node_295": {
      "node_id": "node_295",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_294",
      "improvement_over_parent": null
    },
    "node_296": {
      "node_id": "node_296",
      "content": "INITIAL DESIGN (Trace 40)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 119.73 kg\n  Factor of Safety: 0.76\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": 119.72749093695654,
      "fos_buckling": 0.7644552472482009,
      "fos_yielding": 3.1397870452485623,
      "deflection": 0.019277924961289963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_297": {
      "node_id": "node_297",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 139.30 kg\n  Factor of Safety: 0.87\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": 139.30453703163707,
      "fos_buckling": 0.8707031513676288,
      "fos_yielding": 3.6528535695458,
      "deflection": 0.016620137447092297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_296",
      "improvement_over_parent": null
    },
    "node_298": {
      "node_id": "node_298",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 170.85 kg\n  Factor of Safety: 1.03\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": 170.85019974701555,
      "fos_buckling": 1.0312424068436477,
      "fos_yielding": 4.47939290480192,
      "deflection": 0.013618963695262321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_297",
      "improvement_over_parent": null
    },
    "node_299": {
      "node_id": "node_299",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 177.61 kg\n  Factor of Safety: 1.36\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": 177.60571450314302,
      "fos_buckling": 1.3622688001030911,
      "fos_yielding": 4.199467599884156,
      "deflection": 0.012888741688259918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004051)"
      },
      "parent_node_id": "node_298",
      "improvement_over_parent": null
    },
    "node_300": {
      "node_id": "node_300",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6055804449814,
      "fos_buckling": 1.5297924377625673,
      "fos_yielding": 4.834380056284687,
      "deflection": 0.011232017530562107,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_299",
      "improvement_over_parent": null
    },
    "node_301": {
      "node_id": "node_301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_300",
      "improvement_over_parent": null
    },
    "node_302": {
      "node_id": "node_302",
      "content": "INITIAL DESIGN (Trace 41)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 113.88 kg\n  Factor of Safety: 0.15\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.8849340341133,
      "fos_buckling": 0.15467533000666164,
      "fos_yielding": 3.3408981882381537,
      "deflection": 0.02057416685543871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_303": {
      "node_id": "node_303",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n  Mass: 121.28 kg\n  Factor of Safety: 0.76\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": 121.27820943484232,
      "fos_buckling": 0.7570469525938355,
      "fos_yielding": 3.3408981882381537,
      "deflection": 0.019988359658617047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003584)"
      },
      "parent_node_id": "node_302",
      "improvement_over_parent": null
    },
    "node_304": {
      "node_id": "node_304",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n\nPerformance:\n  Mass: 127.40 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.40102737836533,
      "fos_buckling": 0.8067097808787429,
      "fos_yielding": 3.3408981882381537,
      "deflection": 0.018138869468671555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003523)"
      },
      "parent_node_id": "node_303",
      "improvement_over_parent": null
    },
    "node_305": {
      "node_id": "node_305",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n  Mass: 141.39 kg\n  Factor of Safety: 0.88\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": 141.3910676937123,
      "fos_buckling": 0.881725167942492,
      "fos_yielding": 3.7075259547182147,
      "deflection": 0.016380308553484428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_304",
      "improvement_over_parent": null
    },
    "node_306": {
      "node_id": "node_306",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n  Mass: 169.38 kg\n  Factor of Safety: 1.02\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": 169.37712252775688,
      "fos_buckling": 1.0240342931229673,
      "fos_yielding": 4.440795773712025,
      "deflection": 0.013734256910825068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_305",
      "improvement_over_parent": null
    },
    "node_307": {
      "node_id": "node_307",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n  Mass: 176.07 kg\n  Factor of Safety: 1.35\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": 176.0663865617842,
      "fos_buckling": 1.3524583356024378,
      "fos_yielding": 4.163518807770474,
      "deflection": 0.012998211644936399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004008)"
      },
      "parent_node_id": "node_306",
      "improvement_over_parent": null
    },
    "node_308": {
      "node_id": "node_308",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75529793298045,
      "fos_buckling": 1.5307474379339288,
      "fos_yielding": 4.838215987963919,
      "deflection": 0.011223800523292665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_307",
      "improvement_over_parent": null
    },
    "node_309": {
      "node_id": "node_309",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_308",
      "improvement_over_parent": null
    },
    "node_310": {
      "node_id": "node_310",
      "content": "INITIAL DESIGN (Trace 42)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 110.14 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.79e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.14064785644892,
      "fos_buckling": 0.6578197368357864,
      "fos_yielding": 2.9177739615958305,
      "deflection": 1788374010715.425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_311": {
      "node_id": "node_311",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 135.12 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.48e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.11943173959364,
      "fos_buckling": 0.7772538549758092,
      "fos_yielding": 3.5756411820744334,
      "deflection": 1484652541740.878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_310",
      "improvement_over_parent": null
    },
    "node_312": {
      "node_id": "node_312",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n  Mass: 137.41 kg\n  Factor of Safety: 0.78\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": 137.41225650154,
      "fos_buckling": 0.7811952225638171,
      "fos_yielding": 3.5759139103708044,
      "deflection": 0.01692817780201456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002990)"
      },
      "parent_node_id": "node_311",
      "improvement_over_parent": null
    },
    "node_313": {
      "node_id": "node_313",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n\nPerformance:\n  Mass: 143.75 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.74991506246434,
      "fos_buckling": 0.847129804950283,
      "fos_yielding": 3.565360706759465,
      "deflection": 0.01669709740299809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003568)"
      },
      "parent_node_id": "node_312",
      "improvement_over_parent": null
    },
    "node_314": {
      "node_id": "node_314",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n\nPerformance:\n  Mass: 177.09 kg\n  Factor of Safety: 1.01\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": 177.08907227600963,
      "fos_buckling": 1.0100083151714216,
      "fos_yielding": 4.388186321962474,
      "deflection": 0.013619846352297854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_313",
      "improvement_over_parent": null
    },
    "node_315": {
      "node_id": "node_315",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 195.46 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.4564221866606,
      "fos_buckling": 1.0944294793456795,
      "fos_yielding": 4.8408497512330575,
      "deflection": 0.012373001602391678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_314",
      "improvement_over_parent": null
    },
    "node_316": {
      "node_id": "node_316",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.92073674871543,
      "fos_buckling": 1.531634899318928,
      "fos_yielding": 4.842317624409888,
      "deflection": 0.011214529833454879,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_315",
      "improvement_over_parent": null
    },
    "node_317": {
      "node_id": "node_317",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_316",
      "improvement_over_parent": null
    },
    "node_318": {
      "node_id": "node_318",
      "content": "INITIAL DESIGN (Trace 43)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n  Mass: 87.44 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 87.43742703087342,
      "fos_buckling": 0.5512435263893816,
      "fos_yielding": 1.8066269845215874,
      "deflection": 0.027193292751253453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_319": {
      "node_id": "node_319",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 111.59 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.58791738841532,
      "fos_buckling": 0.6874466066237385,
      "fos_yielding": 2.308569734800933,
      "deflection": 0.021383152879748294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_318",
      "improvement_over_parent": null
    },
    "node_320": {
      "node_id": "node_320",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 112.67 kg\n  Factor of Safety: 0.69\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": 112.67341108242184,
      "fos_buckling": 0.6873829595575562,
      "fos_yielding": 2.310312625266867,
      "deflection": 0.02120196619254763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.215)"
      },
      "parent_node_id": "node_319",
      "improvement_over_parent": null
    },
    "node_321": {
      "node_id": "node_321",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 127.89 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.89217716974571,
      "fos_buckling": 0.768931651947586,
      "fos_yielding": 2.624708171259039,
      "deflection": 0.018720758972231955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_320",
      "improvement_over_parent": null
    },
    "node_322": {
      "node_id": "node_322",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 156.58 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.57815383845997,
      "fos_buckling": 0.9154362357810927,
      "fos_yielding": 3.219166019444957,
      "deflection": 0.015355302456676668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_321",
      "improvement_over_parent": null
    },
    "node_323": {
      "node_id": "node_323",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 157.42 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.42350313822902,
      "fos_buckling": 0.915436235781093,
      "fos_yielding": 3.902086412717579,
      "deflection": 0.015277763811958726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.236)"
      },
      "parent_node_id": "node_322",
      "improvement_over_parent": null
    },
    "node_324": {
      "node_id": "node_324",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n\nPerformance:\n  Mass: 165.06 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.0566069489899,
      "fos_buckling": 1.2809600883315289,
      "fos_yielding": 3.903316643898691,
      "deflection": 0.013843141142448697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004457)"
      },
      "parent_node_id": "node_323",
      "improvement_over_parent": null
    },
    "node_325": {
      "node_id": "node_325",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74305765382783,
      "fos_buckling": 1.5306924490039142,
      "fos_yielding": 4.83671333200079,
      "deflection": 0.011224603351952273,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_324",
      "improvement_over_parent": null
    },
    "node_326": {
      "node_id": "node_326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_325",
      "improvement_over_parent": null
    },
    "node_327": {
      "node_id": "node_327",
      "content": "INITIAL DESIGN (Trace 44)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 122.86 kg\n  Factor of Safety: 0.16\n  Max Deflection: 5.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.86032317624341,
      "fos_buckling": 0.15638513469244805,
      "fos_yielding": 0.941473653054613,
      "deflection": 0.05336284666896863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_328": {
      "node_id": "node_328",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 123.80 kg\n  Factor of Safety: 0.16\n  Max Deflection: 5.31e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.79557665493417,
      "fos_buckling": 0.15638097746467838,
      "fos_yielding": 0.9439925360873964,
      "deflection": 0.05312163819974473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.282)"
      },
      "parent_node_id": "node_327",
      "improvement_over_parent": null
    },
    "node_329": {
      "node_id": "node_329",
      "content": "MODIFICATION: Increase 16 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 126.61 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.98e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.61453320535779,
      "fos_buckling": 0.19946684394088945,
      "fos_yielding": 0.9433096778123001,
      "deflection": 0.04984375211833242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.610)"
      },
      "parent_node_id": "node_328",
      "improvement_over_parent": null
    },
    "node_330": {
      "node_id": "node_330",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 148.45 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.26e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.45063569680957,
      "fos_buckling": 0.22843310777433118,
      "fos_yielding": 1.1030393695414895,
      "deflection": 0.042633455926594496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_329",
      "improvement_over_parent": null
    },
    "node_331": {
      "node_id": "node_331",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 160.47 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.46683969467162,
      "fos_buckling": 1.242090874844276,
      "fos_yielding": 3.8066268205543317,
      "deflection": 0.014259432653561142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005531)"
      },
      "parent_node_id": "node_330",
      "improvement_over_parent": null
    },
    "node_332": {
      "node_id": "node_332",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.89 kg\n  Factor of Safety: 1.50\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": 202.88738845090165,
      "fos_buckling": 1.4971124292858664,
      "fos_yielding": 4.807142927332298,
      "deflection": 0.011347533150754176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_331",
      "improvement_over_parent": null
    },
    "node_333": {
      "node_id": "node_333",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.87493380754836,
      "fos_buckling": 1.531483479408859,
      "fos_yielding": 4.8410694662538,
      "deflection": 0.011218173898306759,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.332)"
      },
      "parent_node_id": "node_332",
      "improvement_over_parent": null
    },
    "node_334": {
      "node_id": "node_334",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 45)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 151.25 kg\n  Factor of Safety: 0.68\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": 151.2480333928218,
      "fos_buckling": 0.6830643904761116,
      "fos_yielding": 3.7471882017990463,
      "deflection": 0.016842449687683225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_336": {
      "node_id": "node_336",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 173.48 kg\n  Factor of Safety: 0.77\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": 173.47658325836093,
      "fos_buckling": 0.7690356588011774,
      "fos_yielding": 4.294055157356238,
      "deflection": 0.01470798947159572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_335",
      "improvement_over_parent": null
    },
    "node_337": {
      "node_id": "node_337",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 176.23 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.22925215542256,
      "fos_buckling": 1.2535641348966566,
      "fos_yielding": 4.279134677180752,
      "deflection": 0.013262023891715154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003640)"
      },
      "parent_node_id": "node_336",
      "improvement_over_parent": null
    },
    "node_338": {
      "node_id": "node_338",
      "content": "MODIFICATION: Increase 20 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0043)]\n\nPerformance:\n  Mass: 176.68 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.6812833997365,
      "fos_buckling": 1.2622077772010927,
      "fos_yielding": 4.278816103928481,
      "deflection": 0.013256939107766926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.181)"
      },
      "parent_node_id": "node_337",
      "improvement_over_parent": null
    },
    "node_339": {
      "node_id": "node_339",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0049)]\n\nPerformance:\n  Mass: 199.89 kg\n  Factor of Safety: 1.40\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": 199.88838508698797,
      "fos_buckling": 1.4021765203997703,
      "fos_yielding": 4.83655894888247,
      "deflection": 0.011753313648686684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_338",
      "improvement_over_parent": null
    },
    "node_340": {
      "node_id": "node_340",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0049)]\n\nPerformance:\n  Mass: 202.19 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.1877374947287,
      "fos_buckling": 1.3996808421235973,
      "fos_yielding": 4.834914292478586,
      "deflection": 0.011376171232381223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.196)"
      },
      "parent_node_id": "node_339",
      "improvement_over_parent": null
    },
    "node_341": {
      "node_id": "node_341",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_340",
      "improvement_over_parent": null
    },
    "node_342": {
      "node_id": "node_342",
      "content": "INITIAL DESIGN (Trace 46)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 141.18 kg\n  Factor of Safety: 0.18\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": 141.17877772605223,
      "fos_buckling": 0.182541397364828,
      "fos_yielding": 4.034764876932082,
      "deflection": 0.015806797618809005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_343": {
      "node_id": "node_343",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 147.26 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.25868264996032,
      "fos_buckling": 0.20107174027159366,
      "fos_yielding": 3.7508378632924693,
      "deflection": 0.01525465926735898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)"
      },
      "parent_node_id": "node_342",
      "improvement_over_parent": null
    },
    "node_344": {
      "node_id": "node_344",
      "content": "MODIFICATION: Increase 19 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n\nPerformance:\n  Mass: 148.42 kg\n  Factor of Safety: 0.20\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": 148.42477341506986,
      "fos_buckling": 0.20206195166161786,
      "fos_yielding": 3.7378488524083866,
      "deflection": 0.015228692958516254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.209)"
      },
      "parent_node_id": "node_343",
      "improvement_over_parent": null
    },
    "node_345": {
      "node_id": "node_345",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n\nPerformance:\n  Mass: 149.54 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.54009872426442,
      "fos_buckling": 0.2006905080520883,
      "fos_yielding": 3.755298505467929,
      "deflection": 0.015181010084821785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.215)"
      },
      "parent_node_id": "node_344",
      "improvement_over_parent": null
    },
    "node_346": {
      "node_id": "node_346",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 158.47 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.4688155691255,
      "fos_buckling": 1.1072107098013755,
      "fos_yielding": 3.7723755860888675,
      "deflection": 0.01446369009831156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004382)"
      },
      "parent_node_id": "node_345",
      "improvement_over_parent": null
    },
    "node_347": {
      "node_id": "node_347",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 202.81 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.8117745383419,
      "fos_buckling": 1.371672952853446,
      "fos_yielding": 4.821716891783564,
      "deflection": 0.011372145478154353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_346",
      "improvement_over_parent": null
    },
    "node_348": {
      "node_id": "node_348",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_347",
      "improvement_over_parent": null
    },
    "node_349": {
      "node_id": "node_349",
      "content": "INITIAL DESIGN (Trace 47)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 127.85 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.85125460378728,
      "fos_buckling": 0.8167331121568912,
      "fos_yielding": 3.6425782368834825,
      "deflection": 0.018658365378888757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_350": {
      "node_id": "node_350",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 128.93 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.93184186467585,
      "fos_buckling": 0.8167080623928682,
      "fos_yielding": 3.6425782368834825,
      "deflection": 0.018366373715146628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.232)"
      },
      "parent_node_id": "node_349",
      "improvement_over_parent": null
    },
    "node_351": {
      "node_id": "node_351",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 151.43 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.42711111566047,
      "fos_buckling": 0.9371005633471062,
      "fos_yielding": 4.277588101829397,
      "deflection": 0.015695695006905572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_350",
      "improvement_over_parent": null
    },
    "node_352": {
      "node_id": "node_352",
      "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 151.65 kg\n  Factor of Safety: 0.94\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": 151.65046688661758,
      "fos_buckling": 0.9370768481598333,
      "fos_yielding": 4.277588101829397,
      "deflection": 0.01568797553641365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.650)"
      },
      "parent_node_id": "node_351",
      "improvement_over_parent": null
    },
    "node_353": {
      "node_id": "node_353",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 163.15 kg\n  Factor of Safety: 0.99\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": 163.14680410119638,
      "fos_buckling": 0.9932430394250571,
      "fos_yielding": 4.277588101829397,
      "deflection": 0.014243881359638194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005141)"
      },
      "parent_node_id": "node_352",
      "improvement_over_parent": null
    },
    "node_354": {
      "node_id": "node_354",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n  Mass: 169.59 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.5885254320743,
      "fos_buckling": 1.310512180591219,
      "fos_yielding": 4.0111896991289875,
      "deflection": 0.013481562455792998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003848)"
      },
      "parent_node_id": "node_353",
      "improvement_over_parent": null
    },
    "node_355": {
      "node_id": "node_355",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.95 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.94763957984503,
      "fos_buckling": 1.5318136396684947,
      "fos_yielding": 4.842924712033654,
      "deflection": 0.011213264828427221,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_354",
      "improvement_over_parent": null
    },
    "node_356": {
      "node_id": "node_356",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_355",
      "improvement_over_parent": null
    },
    "node_357": {
      "node_id": "node_357",
      "content": "INITIAL DESIGN (Trace 48)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 145.36 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.3555647303389,
      "fos_buckling": 0.56763666569924,
      "fos_yielding": 2.1272471687927155,
      "deflection": 0.01707854259602154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_358": {
      "node_id": "node_358",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n  Mass: 154.15 kg\n  Factor of Safety: 0.84\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": 154.1480245504354,
      "fos_buckling": 0.8375081478324593,
      "fos_yielding": 3.869208758174855,
      "deflection": 0.014005528106464358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004402)"
      },
      "parent_node_id": "node_357",
      "improvement_over_parent": null
    },
    "node_359": {
      "node_id": "node_359",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n  Mass: 156.52 kg\n  Factor of Safety: 0.84\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": 156.51813847197562,
      "fos_buckling": 0.8380265251648571,
      "fos_yielding": 3.8750769237205924,
      "deflection": 0.013506842104066004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.335)"
      },
      "parent_node_id": "node_358",
      "improvement_over_parent": null
    },
    "node_360": {
      "node_id": "node_360",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 1.27\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": 163.39137561075273,
      "fos_buckling": 1.2699702732870233,
      "fos_yielding": 3.865030026467871,
      "deflection": 0.013980997235468735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003892)"
      },
      "parent_node_id": "node_359",
      "improvement_over_parent": null
    },
    "node_361": {
      "node_id": "node_361",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61778630043096,
      "fos_buckling": 1.5299110293571325,
      "fos_yielding": 4.834896697576283,
      "deflection": 0.01123140975857039,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_360",
      "improvement_over_parent": null
    },
    "node_362": {
      "node_id": "node_362",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_361",
      "improvement_over_parent": null
    },
    "node_363": {
      "node_id": "node_363",
      "content": "INITIAL DESIGN (Trace 49)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 128.32 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.31736054375727,
      "fos_buckling": 0.5416914582042118,
      "fos_yielding": 3.3842660744057658,
      "deflection": 0.016525514708167127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_364": {
      "node_id": "node_364",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 131.05 kg\n  Factor of Safety: 0.54\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": 131.05251312862464,
      "fos_buckling": 0.54207787129389,
      "fos_yielding": 3.3768538504368317,
      "deflection": 0.016118429018837598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_363",
      "improvement_over_parent": null
    },
    "node_365": {
      "node_id": "node_365",
      "content": "MODIFICATION: Increase 18 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 133.98 kg\n  Factor of Safety: 0.54\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": 133.97859246145006,
      "fos_buckling": 0.5419400125420434,
      "fos_yielding": 3.376783965169774,
      "deflection": 0.015852129098731033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.462)"
      },
      "parent_node_id": "node_364",
      "improvement_over_parent": null
    },
    "node_366": {
      "node_id": "node_366",
      "content": "MODIFICATION: Increase 17 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 136.32 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.3173697734766,
      "fos_buckling": 0.7421485972903736,
      "fos_yielding": 3.3766164017866727,
      "deflection": 0.015477326900147602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.443)"
      },
      "parent_node_id": "node_365",
      "improvement_over_parent": null
    },
    "node_367": {
      "node_id": "node_367",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 152.09 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.08787714858593,
      "fos_buckling": 0.8174876496062111,
      "fos_yielding": 3.7656376835034213,
      "deflection": 0.013894185681912214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_366",
      "improvement_over_parent": null
    },
    "node_368": {
      "node_id": "node_368",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 158.76 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.76352694185437,
      "fos_buckling": 1.2392746404824795,
      "fos_yielding": 3.755889343923197,
      "deflection": 0.014378725039837052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003772)"
      },
      "parent_node_id": "node_367",
      "improvement_over_parent": null
    },
    "node_369": {
      "node_id": "node_369",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75765684191904,
      "fos_buckling": 1.5307394693975163,
      "fos_yielding": 4.8380142891084414,
      "deflection": 0.011223910116525973,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_368",
      "improvement_over_parent": null
    },
    "node_370": {
      "node_id": "node_370",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_369",
      "improvement_over_parent": null
    },
    "node_371": {
      "node_id": "node_371",
      "content": "INITIAL DESIGN (Trace 50)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0021)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0015)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n  Mass: 79.66 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 79.65876726586487,
      "fos_buckling": 0.6441633551183461,
      "fos_yielding": 1.9186535578986326,
      "deflection": 0.028238975835912502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_372": {
      "node_id": "node_372",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0021)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0015)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n\nPerformance:\n  Mass: 79.94 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 79.9413878249677,
      "fos_buckling": 0.6171252726315399,
      "fos_yielding": 1.9176741619836786,
      "deflection": 0.028050725685660423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.000746)"
      },
      "parent_node_id": "node_371",
      "improvement_over_parent": null
    },
    "node_373": {
      "node_id": "node_373",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0019)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n\nPerformance:\n  Mass: 99.13 kg\n  Factor of Safety: 0.76\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.13123201722735,
      "fos_buckling": 0.7557760974005931,
      "fos_yielding": 2.376608388072344,
      "deflection": 0.022685317582067398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_372",
      "improvement_over_parent": null
    },
    "node_374": {
      "node_id": "node_374",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n\nPerformance:\n  Mass: 109.93 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.92706412211777,
      "fos_buckling": 0.832167545497046,
      "fos_yielding": 2.6345549739693266,
      "deflection": 0.02049023212109907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_373",
      "improvement_over_parent": null
    },
    "node_375": {
      "node_id": "node_375",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 136.99 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.9934606868533,
      "fos_buckling": 1.0185946988656012,
      "fos_yielding": 3.2804896618113957,
      "deflection": 0.016507951429948833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_374",
      "improvement_over_parent": null
    },
    "node_376": {
      "node_id": "node_376",
      "content": "MODIFICATION: Increase 15 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 139.14 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.1416577751869,
      "fos_buckling": 1.0911169289362017,
      "fos_yielding": 3.2833468918320046,
      "deflection": 0.016305200645676202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.312)"
      },
      "parent_node_id": "node_375",
      "improvement_over_parent": null
    },
    "node_377": {
      "node_id": "node_377",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0061)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 172.52 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.5186316225274,
      "fos_buckling": 1.3163296472387913,
      "fos_yielding": 4.068095299668126,
      "deflection": 0.01321511053345923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_376",
      "improvement_over_parent": null
    },
    "node_378": {
      "node_id": "node_378",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0074)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 205.31 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.30691315257616,
      "fos_buckling": 1.5153290560188164,
      "fos_yielding": 4.837991384432319,
      "deflection": 0.011157781479064072,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_377",
      "improvement_over_parent": null
    },
    "node_379": {
      "node_id": "node_379",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_378",
      "improvement_over_parent": null
    },
    "node_380": {
      "node_id": "node_380",
      "content": "INITIAL DESIGN (Trace 51)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 152.68 kg\n  Factor of Safety: 0.82\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": 152.68386908667526,
      "fos_buckling": 0.8200582783141409,
      "fos_yielding": 3.7805027372811217,
      "deflection": 0.013840705240123955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_381": {
      "node_id": "node_381",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 173.38 kg\n  Factor of Safety: 0.92\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": 173.3824144219232,
      "fos_buckling": 0.9154627267951341,
      "fos_yielding": 4.290584433247505,
      "deflection": 0.012213435709102667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_380",
      "improvement_over_parent": null
    },
    "node_382": {
      "node_id": "node_382",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.11 kg\n  Factor of Safety: 1.02\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": 196.10521410889868,
      "fos_buckling": 1.0158052294264217,
      "fos_yielding": 4.849888485864039,
      "deflection": 0.010822568963952504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_381",
      "improvement_over_parent": null
    },
    "node_383": {
      "node_id": "node_383",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71570314197257,
      "fos_buckling": 1.5304940476553035,
      "fos_yielding": 4.8371749431119655,
      "deflection": 0.011225909162418592,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_382",
      "improvement_over_parent": null
    },
    "node_384": {
      "node_id": "node_384",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_383",
      "improvement_over_parent": null
    },
    "node_385": {
      "node_id": "node_385",
      "content": "INITIAL DESIGN (Trace 52)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 97.62 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.62279590479719,
      "fos_buckling": 0.6382951787451678,
      "fos_yielding": 2.5603653622023455,
      "deflection": 0.02356017123989929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_386": {
      "node_id": "node_386",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 122.33 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.33267844052621,
      "fos_buckling": 0.7788896248113193,
      "fos_yielding": 3.2080679993640433,
      "deflection": 0.01887517560363045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_385",
      "improvement_over_parent": null
    },
    "node_387": {
      "node_id": "node_387",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n  Mass: 127.17 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.16952245085959,
      "fos_buckling": 1.0216282079111492,
      "fos_yielding": 3.0109896120644106,
      "deflection": 0.017867980318650296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002835)"
      },
      "parent_node_id": "node_386",
      "improvement_over_parent": null
    },
    "node_388": {
      "node_id": "node_388",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 158.74 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.74496391871676,
      "fos_buckling": 1.2391266086843165,
      "fos_yielding": 3.7554194821792786,
      "deflection": 0.014380364166048867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_387",
      "improvement_over_parent": null
    },
    "node_389": {
      "node_id": "node_389",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.73431725614515,
      "fos_buckling": 1.530569800365378,
      "fos_yielding": 4.837423967707057,
      "deflection": 0.011225149011229155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_388",
      "improvement_over_parent": null
    },
    "node_390": {
      "node_id": "node_390",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_389",
      "improvement_over_parent": null
    },
    "node_391": {
      "node_id": "node_391",
      "content": "INITIAL DESIGN (Trace 53)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 181.30 kg\n  Factor of Safety: 0.74\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": 181.3026910994322,
      "fos_buckling": 0.7429654717144001,
      "fos_yielding": 4.320084680678664,
      "deflection": 0.015069302518959748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_392": {
      "node_id": "node_392",
      "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 185.58 kg\n  Factor of Safety: 0.74\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": 185.58473845307412,
      "fos_buckling": 0.7426958471520071,
      "fos_yielding": 4.318516908035286,
      "deflection": 0.013978787589141362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.473)"
      },
      "parent_node_id": "node_391",
      "improvement_over_parent": null
    },
    "node_393": {
      "node_id": "node_393",
      "content": "MODIFICATION: Increase 19 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.13 kg\n  Factor of Safety: 1.09\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": 193.13290929379906,
      "fos_buckling": 1.092713288313989,
      "fos_yielding": 4.799175769844126,
      "deflection": 0.012525638456960997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.623)"
      },
      "parent_node_id": "node_392",
      "improvement_over_parent": null
    },
    "node_394": {
      "node_id": "node_394",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 202.60 kg\n  Factor of Safety: 1.49\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": 202.59722385585388,
      "fos_buckling": 1.4852095261369596,
      "fos_yielding": 4.800517099540743,
      "deflection": 0.01136576354552528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_393",
      "improvement_over_parent": null
    },
    "node_395": {
      "node_id": "node_395",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69623770554875,
      "fos_buckling": 1.5294254808473966,
      "fos_yielding": 4.836843451197473,
      "deflection": 0.011226925861708198,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.357)"
      },
      "parent_node_id": "node_394",
      "improvement_over_parent": null
    },
    "node_396": {
      "node_id": "node_396",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_395",
      "improvement_over_parent": null
    },
    "node_397": {
      "node_id": "node_397",
      "content": "INITIAL DESIGN (Trace 54)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 126.56 kg\n  Factor of Safety: 0.93\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": 126.56202065782593,
      "fos_buckling": 0.9282064412125903,
      "fos_yielding": 3.0321145170442088,
      "deflection": 0.0179075624237374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_398": {
      "node_id": "node_398",
      "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 127.44 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.44253352273917,
      "fos_buckling": 1.0235834702798083,
      "fos_yielding": 3.0174966623221673,
      "deflection": 0.017830261459528325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.383)"
      },
      "parent_node_id": "node_397",
      "improvement_over_parent": null
    },
    "node_399": {
      "node_id": "node_399",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 158.14 kg\n  Factor of Safety: 1.24\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": 158.1427292535676,
      "fos_buckling": 1.2351269108111111,
      "fos_yielding": 3.741312590983533,
      "deflection": 0.014433730537737844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_398",
      "improvement_over_parent": null
    },
    "node_400": {
      "node_id": "node_400",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.96 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.9617857856994,
      "fos_buckling": 1.5319548737837974,
      "fos_yielding": 4.84287020943556,
      "deflection": 0.011212968825775224,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_399",
      "improvement_over_parent": null
    },
    "node_401": {
      "node_id": "node_401",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_400",
      "improvement_over_parent": null
    },
    "node_402": {
      "node_id": "node_402",
      "content": "INITIAL DESIGN (Trace 55)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 137.94 kg\n  Factor of Safety: 0.97\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": 137.93583174844105,
      "fos_buckling": 0.9721345763223687,
      "fos_yielding": 3.063637694042281,
      "deflection": 0.016562687825044047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_403": {
      "node_id": "node_403",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 160.30 kg\n  Factor of Safety: 1.11\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": 160.302159433891,
      "fos_buckling": 1.1141540122551954,
      "fos_yielding": 3.56434519238852,
      "deflection": 0.014297084173390737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_402",
      "improvement_over_parent": null
    },
    "node_404": {
      "node_id": "node_404",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.23 kg\n  Factor of Safety: 1.35\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": 199.22871268548948,
      "fos_buckling": 1.3508500886055281,
      "fos_yielding": 4.439345063180593,
      "deflection": 0.011567015086809043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_403",
      "improvement_over_parent": null
    },
    "node_405": {
      "node_id": "node_405",
      "content": "MODIFICATION: Increase 12 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.32 kg\n  Factor of Safety: 1.46\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": 200.32353837148008,
      "fos_buckling": 1.4646172975874714,
      "fos_yielding": 4.799360031975048,
      "deflection": 0.011500132027748827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.294)"
      },
      "parent_node_id": "node_404",
      "improvement_over_parent": null
    },
    "node_406": {
      "node_id": "node_406",
      "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.74 kg\n  Factor of Safety: 1.48\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": 202.74401590867961,
      "fos_buckling": 1.4844417191690888,
      "fos_yielding": 4.80387862320872,
      "deflection": 0.011358383490927463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.309)"
      },
      "parent_node_id": "node_405",
      "improvement_over_parent": null
    },
    "node_407": {
      "node_id": "node_407",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.86254211697943,
      "fos_buckling": 1.5313822382746913,
      "fos_yielding": 4.840613563591949,
      "deflection": 0.011218192025693253,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.361)"
      },
      "parent_node_id": "node_406",
      "improvement_over_parent": null
    },
    "node_408": {
      "node_id": "node_408",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_407",
      "improvement_over_parent": null
    },
    "node_409": {
      "node_id": "node_409",
      "content": "INITIAL DESIGN (Trace 56)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 166.02 kg\n  Factor of Safety: 0.61\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": 166.01647405232313,
      "fos_buckling": 0.6099116768547507,
      "fos_yielding": 2.296320431636288,
      "deflection": 0.01671992743675832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_410": {
      "node_id": "node_410",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 175.61 kg\n  Factor of Safety: 0.80\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": 175.61300362691824,
      "fos_buckling": 0.8002882465595007,
      "fos_yielding": 4.230827885372653,
      "deflection": 0.01420547371459597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004838)"
      },
      "parent_node_id": "node_409",
      "improvement_over_parent": null
    },
    "node_411": {
      "node_id": "node_411",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 201.67 kg\n  Factor of Safety: 0.90\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": 201.66716824867228,
      "fos_buckling": 0.899101210546091,
      "fos_yielding": 4.855083958510821,
      "deflection": 0.012398129368030194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_410",
      "improvement_over_parent": null
    },
    "node_412": {
      "node_id": "node_412",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7825461483927,
      "fos_buckling": 1.5308662119924499,
      "fos_yielding": 4.838719815468758,
      "deflection": 0.011222415541008127,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_411",
      "improvement_over_parent": null
    },
    "node_413": {
      "node_id": "node_413",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_412",
      "improvement_over_parent": null
    },
    "node_414": {
      "node_id": "node_414",
      "content": "INITIAL DESIGN (Trace 57)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 170.95 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.95471198329057,
      "fos_buckling": 0.3383027768286483,
      "fos_yielding": 1.9016851022258818,
      "deflection": 0.03248145440994963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_415": {
      "node_id": "node_415",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 174.49 kg\n  Factor of Safety: 0.34\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": 174.4898254832485,
      "fos_buckling": 0.33800222736645674,
      "fos_yielding": 1.9989489710104285,
      "deflection": 0.03159097996656489,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.333)"
      },
      "parent_node_id": "node_414",
      "improvement_over_parent": null
    },
    "node_416": {
      "node_id": "node_416",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.17 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.16965631640608,
      "fos_buckling": 0.3377747482204411,
      "fos_yielding": 1.9970392386987779,
      "deflection": 0.029824131790704287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.319)"
      },
      "parent_node_id": "node_415",
      "improvement_over_parent": null
    },
    "node_417": {
      "node_id": "node_417",
      "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 178.88 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.8789441101661,
      "fos_buckling": 0.33762981410366943,
      "fos_yielding": 2.0772732195231054,
      "deflection": 0.029786134877504717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.272)"
      },
      "parent_node_id": "node_416",
      "improvement_over_parent": null
    },
    "node_418": {
      "node_id": "node_418",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.66 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.66110289868024,
      "fos_buckling": 0.3376077180712035,
      "fos_yielding": 2.0770736231504974,
      "deflection": 0.02952124979251619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.190)"
      },
      "parent_node_id": "node_417",
      "improvement_over_parent": null
    },
    "node_419": {
      "node_id": "node_419",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 192.15 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.148909975697,
      "fos_buckling": 0.44742028789899496,
      "fos_yielding": 4.134774264052633,
      "deflection": 0.014358943413601265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_418",
      "improvement_over_parent": null
    },
    "node_420": {
      "node_id": "node_420",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6879023156663,
      "fos_buckling": 1.530397389479883,
      "fos_yielding": 4.836859717690951,
      "deflection": 0.0112273792302346,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_419",
      "improvement_over_parent": null
    },
    "node_421": {
      "node_id": "node_421",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_420",
      "improvement_over_parent": null
    },
    "node_422": {
      "node_id": "node_422",
      "content": "INITIAL DESIGN (Trace 58)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 162.64 kg\n  Factor of Safety: 1.06\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": 162.64213055785683,
      "fos_buckling": 1.0604346960290778,
      "fos_yielding": 3.7542031591154252,
      "deflection": 0.013914004798000014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_423": {
      "node_id": "node_423",
      "content": "MODIFICATION: Increase 19 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 166.79 kg\n  Factor of Safety: 1.06\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": 166.7947408523782,
      "fos_buckling": 1.0598324586936259,
      "fos_yielding": 3.6306803472941254,
      "deflection": 0.013740831820338832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.600)"
      },
      "parent_node_id": "node_422",
      "improvement_over_parent": null
    },
    "node_424": {
      "node_id": "node_424",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.81 kg\n  Factor of Safety: 1.24\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": 199.8128473308514,
      "fos_buckling": 1.241816028480524,
      "fos_yielding": 4.358712274412759,
      "deflection": 0.011524755140011675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_423",
      "improvement_over_parent": null
    },
    "node_425": {
      "node_id": "node_425",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.72 kg\n  Factor of Safety: 1.33\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": 203.7166500973862,
      "fos_buckling": 1.329687324652534,
      "fos_yielding": 4.358309244546577,
      "deflection": 0.011290128467018408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.495)"
      },
      "parent_node_id": "node_424",
      "improvement_over_parent": null
    },
    "node_426": {
      "node_id": "node_426",
      "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.89 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.88923346231866,
      "fos_buckling": 1.531521598899279,
      "fos_yielding": 4.841080502162154,
      "deflection": 0.011216939758079032,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.321)"
      },
      "parent_node_id": "node_425",
      "improvement_over_parent": null
    },
    "node_427": {
      "node_id": "node_427",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 59)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 174.56 kg\n  Factor of Safety: 1.11\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": 174.56022075695293,
      "fos_buckling": 1.1086517705153824,
      "fos_yielding": 4.264374232225194,
      "deflection": 0.013578959115024818,
      "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 7 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 177.57 kg\n  Factor of Safety: 1.11\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": 177.57010442343628,
      "fos_buckling": 1.1074577741163785,
      "fos_yielding": 4.264451589746838,
      "deflection": 0.013432678245930332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.610)"
      },
      "parent_node_id": "node_428",
      "improvement_over_parent": null
    },
    "node_430": {
      "node_id": "node_430",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.04 kg\n  Factor of Safety: 1.23\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": 201.03821285237998,
      "fos_buckling": 1.23421158745782,
      "fos_yielding": 4.824332555197493,
      "deflection": 0.011899004098960709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_429",
      "improvement_over_parent": null
    },
    "node_431": {
      "node_id": "node_431",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.55850499439885,
      "fos_buckling": 1.5294944582967362,
      "fos_yielding": 4.833534771941319,
      "deflection": 0.01123417588697517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.431)"
      },
      "parent_node_id": "node_430",
      "improvement_over_parent": null
    },
    "node_432": {
      "node_id": "node_432",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_431",
      "improvement_over_parent": null
    },
    "node_433": {
      "node_id": "node_433",
      "content": "INITIAL DESIGN (Trace 60)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 166.30 kg\n  Factor of Safety: 1.34\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": 166.29853335109,
      "fos_buckling": 1.339657538214744,
      "fos_yielding": 4.2348134082313935,
      "deflection": 0.014013450196429965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_434": {
      "node_id": "node_434",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 166.92 kg\n  Factor of Safety: 1.32\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": 166.92081333405895,
      "fos_buckling": 1.3175918292181892,
      "fos_yielding": 4.233743177671107,
      "deflection": 0.013969274057008124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001714)"
      },
      "parent_node_id": "node_433",
      "improvement_over_parent": null
    },
    "node_435": {
      "node_id": "node_435",
      "content": "MODIFICATION: Increase 18 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 168.92 kg\n  Factor of Safety: 1.31\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": 168.91708279209968,
      "fos_buckling": 1.3133022878386262,
      "fos_yielding": 4.233734505227696,
      "deflection": 0.01391421069999323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.182)"
      },
      "parent_node_id": "node_434",
      "improvement_over_parent": null
    },
    "node_436": {
      "node_id": "node_436",
      "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 172.45 kg\n  Factor of Safety: 1.34\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": 172.45276663166555,
      "fos_buckling": 1.34056694308451,
      "fos_yielding": 4.234402500405037,
      "deflection": 0.014130707551737494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.399)"
      },
      "parent_node_id": "node_435",
      "improvement_over_parent": null
    },
    "node_437": {
      "node_id": "node_437",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 176.22 kg\n  Factor of Safety: 1.13\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": 176.21764319785404,
      "fos_buckling": 1.133211024389617,
      "fos_yielding": 4.224691507341678,
      "deflection": 0.013348753782822066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.618)"
      },
      "parent_node_id": "node_436",
      "improvement_over_parent": null
    },
    "node_438": {
      "node_id": "node_438",
      "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 177.60 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.6015830039759,
      "fos_buckling": 1.2845389215699323,
      "fos_yielding": 4.221427834605687,
      "deflection": 0.013288073737913393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.248)"
      },
      "parent_node_id": "node_437",
      "improvement_over_parent": null
    },
    "node_439": {
      "node_id": "node_439",
      "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 180.28 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.27528478429147,
      "fos_buckling": 1.3689828248000033,
      "fos_yielding": 4.226929630390844,
      "deflection": 0.013055857282720693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.414)"
      },
      "parent_node_id": "node_438",
      "improvement_over_parent": null
    },
    "node_440": {
      "node_id": "node_440",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0057)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0075)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 207.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 207.42845503670299,
      "fos_buckling": 1.5320143455283737,
      "fos_yielding": 4.8619957207874895,
      "deflection": 0.011383842511695557,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_439",
      "improvement_over_parent": null
    },
    "node_441": {
      "node_id": "node_441",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_440",
      "improvement_over_parent": null
    },
    "node_442": {
      "node_id": "node_442",
      "content": "INITIAL DESIGN (Trace 61)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 154.87 kg\n  Factor of Safety: 1.19\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": 154.87430008805708,
      "fos_buckling": 1.1889048009231455,
      "fos_yielding": 3.8242857989206778,
      "deflection": 0.014244468833390062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_443": {
      "node_id": "node_443",
      "content": "MODIFICATION: Increase 18 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 157.39 kg\n  Factor of Safety: 1.19\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": 157.39276438808102,
      "fos_buckling": 1.1863664931470774,
      "fos_yielding": 3.822579858606611,
      "deflection": 0.014351501947920986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.631)"
      },
      "parent_node_id": "node_442",
      "improvement_over_parent": null
    },
    "node_444": {
      "node_id": "node_444",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.61 kg\n  Factor of Safety: 1.45\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": 199.61444263771,
      "fos_buckling": 1.4456546624210187,
      "fos_yielding": 4.8406472840569785,
      "deflection": 0.011387201005517706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_443",
      "improvement_over_parent": null
    },
    "node_445": {
      "node_id": "node_445",
      "content": "MODIFICATION: Increase 19 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.73 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.73064275546534,
      "fos_buckling": 1.5017004567212182,
      "fos_yielding": 4.840714534657704,
      "deflection": 0.011274069585449865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.389)"
      },
      "parent_node_id": "node_444",
      "improvement_over_parent": null
    },
    "node_446": {
      "node_id": "node_446",
      "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8716680874897,
      "fos_buckling": 1.531462730658051,
      "fos_yielding": 4.840727718256633,
      "deflection": 0.011217761249423171,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.200)"
      },
      "parent_node_id": "node_445",
      "improvement_over_parent": null
    },
    "node_447": {
      "node_id": "node_447",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_446",
      "improvement_over_parent": null
    },
    "node_448": {
      "node_id": "node_448",
      "content": "INITIAL DESIGN (Trace 62)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n  Mass: 122.04 kg\n  Factor of Safety: 0.54\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": 122.04431595067459,
      "fos_buckling": 0.5427827544152599,
      "fos_yielding": 3.058572517764407,
      "deflection": 0.020144261973372293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_449": {
      "node_id": "node_449",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 154.34 kg\n  Factor of Safety: 0.67\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": 154.34061720902523,
      "fos_buckling": 0.6744668046969478,
      "fos_yielding": 3.8780998080865947,
      "deflection": 0.015961007453701197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_448",
      "improvement_over_parent": null
    },
    "node_450": {
      "node_id": "node_450",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n  Mass: 166.40 kg\n  Factor of Safety: 1.04\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": 166.3985851688033,
      "fos_buckling": 1.0397133918093782,
      "fos_yielding": 4.163055988859853,
      "deflection": 0.013533411472292388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005413)"
      },
      "parent_node_id": "node_449",
      "improvement_over_parent": null
    },
    "node_451": {
      "node_id": "node_451",
      "content": "MODIFICATION: Increase 20 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0085)]\n\nPerformance:\n  Mass: 172.39 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.39102334677978,
      "fos_buckling": 1.0959141938188979,
      "fos_yielding": 4.163005152133551,
      "deflection": 0.01334080697387102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.565)"
      },
      "parent_node_id": "node_450",
      "improvement_over_parent": null
    },
    "node_452": {
      "node_id": "node_452",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n  Mass: 198.55 kg\n  Factor of Safety: 1.24\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": 198.55273606006668,
      "fos_buckling": 1.244141003835008,
      "fos_yielding": 4.7928493930525855,
      "deflection": 0.01162090641060203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_451",
      "improvement_over_parent": null
    },
    "node_453": {
      "node_id": "node_453",
      "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n  Mass: 201.70 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.70219856138496,
      "fos_buckling": 1.2441316396685569,
      "fos_yielding": 4.83963539519564,
      "deflection": 0.011443006174915333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.368)"
      },
      "parent_node_id": "node_452",
      "improvement_over_parent": null
    },
    "node_454": {
      "node_id": "node_454",
      "content": "MODIFICATION: Increase 18 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n  Mass: 204.38 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.38060982752856,
      "fos_buckling": 1.2413605107954657,
      "fos_yielding": 4.837957464373387,
      "deflection": 0.01150896154650192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.495)"
      },
      "parent_node_id": "node_453",
      "improvement_over_parent": null
    },
    "node_455": {
      "node_id": "node_455",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_454",
      "improvement_over_parent": null
    },
    "node_456": {
      "node_id": "node_456",
      "content": "INITIAL DESIGN (Trace 63)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 97.69 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.55e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.690432742426,
      "fos_buckling": 0.4807794604999455,
      "fos_yielding": 2.3802956991588933,
      "deflection": 0.025469029923812586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_457": {
      "node_id": "node_457",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 108.14 kg\n  Factor of Safety: 0.53\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": 108.14366055531414,
      "fos_buckling": 0.5278275200645585,
      "fos_yielding": 2.6341472666033154,
      "deflection": 0.023027756040022995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_456",
      "improvement_over_parent": null
    },
    "node_458": {
      "node_id": "node_458",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 136.39 kg\n  Factor of Safety: 0.65\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": 136.38523349126862,
      "fos_buckling": 0.6506642304842497,
      "fos_yielding": 3.319151175093957,
      "deflection": 0.018303382270124062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_457",
      "improvement_over_parent": null
    },
    "node_459": {
      "node_id": "node_459",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.89 kg\n  Factor of Safety: 0.77\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": 165.89262128977361,
      "fos_buckling": 0.7723252789460593,
      "fos_yielding": 4.033556431351885,
      "deflection": 0.01508550576067832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_458",
      "improvement_over_parent": null
    },
    "node_460": {
      "node_id": "node_460",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.46 kg\n  Factor of Safety: 0.90\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": 199.46145360339077,
      "fos_buckling": 0.9024004398055661,
      "fos_yielding": 4.84466013684457,
      "deflection": 0.012582299182865993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_459",
      "improvement_over_parent": null
    },
    "node_461": {
      "node_id": "node_461",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 202.58 kg\n  Factor of Safety: 1.39\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": 202.57683150311118,
      "fos_buckling": 1.3873071665352423,
      "fos_yielding": 4.828547831975921,
      "deflection": 0.01155790553580241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_460",
      "improvement_over_parent": null
    },
    "node_462": {
      "node_id": "node_462",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5393184746428,
      "fos_buckling": 1.5294833771011163,
      "fos_yielding": 4.832978550304751,
      "deflection": 0.011235711011292645,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.205)"
      },
      "parent_node_id": "node_461",
      "improvement_over_parent": null
    },
    "node_463": {
      "node_id": "node_463",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_462",
      "improvement_over_parent": null
    },
    "node_464": {
      "node_id": "node_464",
      "content": "INITIAL DESIGN (Trace 64)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 160.57 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.56891950661728,
      "fos_buckling": 0.33697699694961847,
      "fos_yielding": 3.4164319957537845,
      "deflection": 0.020497134405159576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_465": {
      "node_id": "node_465",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 173.11 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.10791184658657,
      "fos_buckling": 0.48834621366603614,
      "fos_yielding": 3.4157803017449373,
      "deflection": 0.018603662419192216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_464",
      "improvement_over_parent": null
    },
    "node_466": {
      "node_id": "node_466",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 181.72 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.71840087966046,
      "fos_buckling": 0.4877520716603009,
      "fos_yielding": 3.4135446110662335,
      "deflection": 0.018497462118775353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_465",
      "improvement_over_parent": null
    },
    "node_467": {
      "node_id": "node_467",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.56661236863897,
      "fos_buckling": 1.5307817046999317,
      "fos_yielding": 4.850336390329332,
      "deflection": 0.011269881143971133,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_466",
      "improvement_over_parent": null
    },
    "node_468": {
      "node_id": "node_468",
      "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0069)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 205.17 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.17334288495317,
      "fos_buckling": 1.5301490450268533,
      "fos_yielding": 4.845272474752799,
      "deflection": 0.01123561431404554,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.311)"
      },
      "parent_node_id": "node_467",
      "improvement_over_parent": null
    },
    "node_469": {
      "node_id": "node_469",
      "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0069)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 205.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.59060824007653,
      "fos_buckling": 1.5299006547947007,
      "fos_yielding": 4.856987982419717,
      "deflection": 0.011239520180191712,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.645)"
      },
      "parent_node_id": "node_468",
      "improvement_over_parent": null
    },
    "node_470": {
      "node_id": "node_470",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_469",
      "improvement_over_parent": null
    },
    "node_471": {
      "node_id": "node_471",
      "content": "INITIAL DESIGN (Trace 65)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 118.82 kg\n  Factor of Safety: 0.13\n  Max Deflection: 6.84e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.81771578712575,
      "fos_buckling": 0.132020260608644,
      "fos_yielding": 0.9860844127543579,
      "deflection": 68424273456227.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_472": {
      "node_id": "node_472",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 142.00 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.43e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.99956938493074,
      "fos_buckling": 0.45119836472176167,
      "fos_yielding": 1.9721688255087153,
      "deflection": 24344967725566.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_471",
      "improvement_over_parent": null
    },
    "node_473": {
      "node_id": "node_473",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n  Mass: 154.02 kg\n  Factor of Safety: 0.08\n  Max Deflection: 2.80e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.02462993043412,
      "fos_buckling": 0.08187262194040108,
      "fos_yielding": 1.51635608882986,
      "deflection": 27952977296345.047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005397)"
      },
      "parent_node_id": "node_472",
      "improvement_over_parent": null
    },
    "node_474": {
      "node_id": "node_474",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 158.62 kg\n  Factor of Safety: 0.00\n  Max Deflection: 8.84e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.62220552003578,
      "fos_buckling": 0.002558519435637534,
      "fos_yielding": 0.06163027579714735,
      "deflection": 884218157981744.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003605)"
      },
      "parent_node_id": "node_473",
      "improvement_over_parent": null
    },
    "node_475": {
      "node_id": "node_475",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 168.16 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.1619625163679,
      "fos_buckling": 0.4222196444573623,
      "fos_yielding": 4.248494937288742,
      "deflection": 0.014488583005281079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004807)"
      },
      "parent_node_id": "node_474",
      "improvement_over_parent": null
    },
    "node_476": {
      "node_id": "node_476",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 176.40 kg\n  Factor of Safety: 1.15\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": 176.4032479705308,
      "fos_buckling": 1.1485000933530336,
      "fos_yielding": 4.192707398210001,
      "deflection": 0.012930784998794792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004468)"
      },
      "parent_node_id": "node_475",
      "improvement_over_parent": null
    },
    "node_477": {
      "node_id": "node_477",
      "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0070)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 178.45 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.45196124914588,
      "fos_buckling": 1.0972333412615312,
      "fos_yielding": 4.1928553261148,
      "deflection": 0.012839393327579766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.517)"
      },
      "parent_node_id": "node_476",
      "improvement_over_parent": null
    },
    "node_478": {
      "node_id": "node_478",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0081)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 206.02 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.01892817183005,
      "fos_buckling": 1.2534339213766443,
      "fos_yielding": 4.838118025895415,
      "deflection": 0.011164338264818744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_477",
      "improvement_over_parent": null
    },
    "node_479": {
      "node_id": "node_479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_478",
      "improvement_over_parent": null
    },
    "node_480": {
      "node_id": "node_480",
      "content": "INITIAL DESIGN (Trace 66)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 155.41 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.41443797032454,
      "fos_buckling": 0.21652396582900907,
      "fos_yielding": 1.1635645334496316,
      "deflection": 0.042012269443217114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_481": {
      "node_id": "node_481",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 168.07 kg\n  Factor of Safety: 1.11\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": 168.069024535701,
      "fos_buckling": 1.1114857718808824,
      "fos_yielding": 4.0330586112716365,
      "deflection": 0.013158718603770303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005848)"
      },
      "parent_node_id": "node_480",
      "improvement_over_parent": null
    },
    "node_482": {
      "node_id": "node_482",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 201.78 kg\n  Factor of Safety: 1.31\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": 201.77651155724809,
      "fos_buckling": 1.3125478876151024,
      "fos_yielding": 4.836597922279976,
      "deflection": 0.011020983149422948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_481",
      "improvement_over_parent": null
    },
    "node_483": {
      "node_id": "node_483",
      "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.68940960025762,
      "fos_buckling": 1.385756902209375,
      "fos_yielding": 4.835217185920168,
      "deflection": 0.01110147654253747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.387)"
      },
      "parent_node_id": "node_482",
      "improvement_over_parent": null
    },
    "node_484": {
      "node_id": "node_484",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_483",
      "improvement_over_parent": null
    },
    "node_485": {
      "node_id": "node_485",
      "content": "INITIAL DESIGN (Trace 67)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 144.25 kg\n  Factor of Safety: 0.97\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": 144.2537978198286,
      "fos_buckling": 0.9744177854129783,
      "fos_yielding": 3.4359461739607817,
      "deflection": 0.015786862287707922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_486": {
      "node_id": "node_486",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 167.03 kg\n  Factor of Safety: 1.11\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": 167.03048369197205,
      "fos_buckling": 1.1099226878727353,
      "fos_yielding": 3.9757254006988774,
      "deflection": 0.013679701523931238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_485",
      "improvement_over_parent": null
    },
    "node_487": {
      "node_id": "node_487",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 169.75 kg\n  Factor of Safety: 1.31\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": 169.74816129993928,
      "fos_buckling": 1.312713892721968,
      "fos_yielding": 4.015337182639185,
      "deflection": 0.01345519210717877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.381)"
      },
      "parent_node_id": "node_486",
      "improvement_over_parent": null
    },
    "node_488": {
      "node_id": "node_488",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 169.90 kg\n  Factor of Safety: 1.31\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": 169.9012986361231,
      "fos_buckling": 1.3126538310049893,
      "fos_yielding": 4.018368032516054,
      "deflection": 0.013457794912175679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.211)"
      },
      "parent_node_id": "node_487",
      "improvement_over_parent": null
    },
    "node_489": {
      "node_id": "node_489",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71071327307916,
      "fos_buckling": 1.5305105553536407,
      "fos_yielding": 4.837135346492263,
      "deflection": 0.011226213286130405,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_488",
      "improvement_over_parent": null
    },
    "node_490": {
      "node_id": "node_490",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_489",
      "improvement_over_parent": null
    },
    "node_491": {
      "node_id": "node_491",
      "content": "INITIAL DESIGN (Trace 68)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 157.12 kg\n  Factor of Safety: 0.40\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": 157.11773230877034,
      "fos_buckling": 0.40064057604326736,
      "fos_yielding": 3.590847293369004,
      "deflection": 0.01807135678022289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_492": {
      "node_id": "node_492",
      "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 161.43 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.43187507160764,
      "fos_buckling": 0.4002100187418886,
      "fos_yielding": 3.5900852788437363,
      "deflection": 0.016871594948598554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.527)"
      },
      "parent_node_id": "node_491",
      "improvement_over_parent": null
    },
    "node_493": {
      "node_id": "node_493",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 163.70 kg\n  Factor of Safety: 0.40\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": 163.69889965307175,
      "fos_buckling": 0.39998413732062543,
      "fos_yielding": 3.589684979970316,
      "deflection": 0.01651350838033002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.211)"
      },
      "parent_node_id": "node_492",
      "improvement_over_parent": null
    },
    "node_494": {
      "node_id": "node_494",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.77 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.76827550187528,
      "fos_buckling": 0.44787832840657754,
      "fos_yielding": 4.133411192949035,
      "deflection": 0.014379569154782317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_493",
      "improvement_over_parent": null
    },
    "node_495": {
      "node_id": "node_495",
      "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.07 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.06796262821717,
      "fos_buckling": 0.4476234744229183,
      "fos_yielding": 4.132944318717209,
      "deflection": 0.014383187959368037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.404)"
      },
      "parent_node_id": "node_494",
      "improvement_over_parent": null
    },
    "node_496": {
      "node_id": "node_496",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 203.61 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.60695496818647,
      "fos_buckling": 1.3051429532378034,
      "fos_yielding": 4.835665666380875,
      "deflection": 0.011247105371817844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_495",
      "improvement_over_parent": null
    },
    "node_497": {
      "node_id": "node_497",
      "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61786279779494,
      "fos_buckling": 1.5298377832526961,
      "fos_yielding": 4.834576113471617,
      "deflection": 0.011231054015076273,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.527)"
      },
      "parent_node_id": "node_496",
      "improvement_over_parent": null
    },
    "node_498": {
      "node_id": "node_498",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_497",
      "improvement_over_parent": null
    },
    "node_499": {
      "node_id": "node_499",
      "content": "INITIAL DESIGN (Trace 69)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 159.28 kg\n  Factor of Safety: 0.44\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": 159.27684696662433,
      "fos_buckling": 0.4371076033056014,
      "fos_yielding": 3.213019886376388,
      "deflection": 0.016260993720642422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_500": {
      "node_id": "node_500",
      "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 161.79 kg\n  Factor of Safety: 0.45\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": 161.78711585178579,
      "fos_buckling": 0.4497116895536009,
      "fos_yielding": 3.2123590277431924,
      "deflection": 0.01617168133588521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.393)"
      },
      "parent_node_id": "node_499",
      "improvement_over_parent": null
    },
    "node_501": {
      "node_id": "node_501",
      "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 163.09 kg\n  Factor of Safety: 0.45\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": 163.08866010677448,
      "fos_buckling": 0.44971168955360113,
      "fos_yielding": 4.136840997787743,
      "deflection": 0.015903715352008855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.316)"
      },
      "parent_node_id": "node_500",
      "improvement_over_parent": null
    },
    "node_502": {
      "node_id": "node_502",
      "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 167.80 kg\n  Factor of Safety: 0.45\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": 167.80104854433318,
      "fos_buckling": 0.4491856959340774,
      "fos_yielding": 4.1358829251657685,
      "deflection": 0.014958264559885751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.493)"
      },
      "parent_node_id": "node_501",
      "improvement_over_parent": null
    },
    "node_503": {
      "node_id": "node_503",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 180.34 kg\n  Factor of Safety: 1.02\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": 180.34004088430248,
      "fos_buckling": 1.0169717501869027,
      "fos_yielding": 4.719115205544251,
      "deflection": 0.012520234498361496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_502",
      "improvement_over_parent": null
    },
    "node_504": {
      "node_id": "node_504",
      "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 182.22 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.21580017498962,
      "fos_buckling": 1.0169717501869027,
      "fos_yielding": 4.848173450231348,
      "deflection": 0.012520234498361496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.623)"
      },
      "parent_node_id": "node_503",
      "improvement_over_parent": null
    },
    "node_505": {
      "node_id": "node_505",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 196.10 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.10070705061122,
      "fos_buckling": 1.015739266968027,
      "fos_yielding": 4.847698133930301,
      "deflection": 0.010822748528191027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_504",
      "improvement_over_parent": null
    },
    "node_506": {
      "node_id": "node_506",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7111960836851,
      "fos_buckling": 1.5303378236218048,
      "fos_yielding": 4.834982603846904,
      "deflection": 0.01122526655706786,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_505",
      "improvement_over_parent": null
    },
    "node_507": {
      "node_id": "node_507",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_506",
      "improvement_over_parent": null
    },
    "node_508": {
      "node_id": "node_508",
      "content": "INITIAL DESIGN (Trace 70)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 148.57 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.5737664136172,
      "fos_buckling": 0.2901916451179714,
      "fos_yielding": 2.1222731966071686,
      "deflection": 0.032021249740397904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_509": {
      "node_id": "node_509",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n  Mass: 158.04 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.03920167564445,
      "fos_buckling": 0.28949928899291316,
      "fos_yielding": 1.7274198717424283,
      "deflection": 0.03399167088700186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004666)"
      },
      "parent_node_id": "node_508",
      "improvement_over_parent": null
    },
    "node_510": {
      "node_id": "node_510",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 168.38 kg\n  Factor of Safety: 1.19\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": 168.38352767268094,
      "fos_buckling": 1.1880173395678264,
      "fos_yielding": 4.029867199323891,
      "deflection": 0.013543187292484344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)"
      },
      "parent_node_id": "node_509",
      "improvement_over_parent": null
    },
    "node_511": {
      "node_id": "node_511",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 169.55 kg\n  Factor of Safety: 1.31\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": 169.5546730221137,
      "fos_buckling": 1.3103413803965722,
      "fos_yielding": 4.010092273713246,
      "deflection": 0.013484645726537165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.391)"
      },
      "parent_node_id": "node_510",
      "improvement_over_parent": null
    },
    "node_512": {
      "node_id": "node_512",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60437374621927,
      "fos_buckling": 1.5298088771414602,
      "fos_yielding": 4.834501288046654,
      "deflection": 0.011231889937209237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_511",
      "improvement_over_parent": null
    },
    "node_513": {
      "node_id": "node_513",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_512",
      "improvement_over_parent": null
    },
    "node_514": {
      "node_id": "node_514",
      "content": "INITIAL DESIGN (Trace 71)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 169.93 kg\n  Factor of Safety: 1.15\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": 169.93166787613464,
      "fos_buckling": 1.1506411765917983,
      "fos_yielding": 4.147371307704355,
      "deflection": 0.013583311910276896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_515": {
      "node_id": "node_515",
      "content": "MODIFICATION: Increase 20 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 173.75 kg\n  Factor of Safety: 1.35\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": 173.74825005489132,
      "fos_buckling": 1.347308952678706,
      "fos_yielding": 4.147069826439611,
      "deflection": 0.013295322782223494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.294)"
      },
      "parent_node_id": "node_514",
      "improvement_over_parent": null
    },
    "node_516": {
      "node_id": "node_516",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.03 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.03372031067212,
      "fos_buckling": 1.5309545667916151,
      "fos_yielding": 4.84166691570762,
      "deflection": 0.011424369787793254,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_515",
      "improvement_over_parent": null
    },
    "node_517": {
      "node_id": "node_517",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7269442835545,
      "fos_buckling": 1.5303456072956239,
      "fos_yielding": 4.837387008063443,
      "deflection": 0.01122513825701727,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.182)"
      },
      "parent_node_id": "node_516",
      "improvement_over_parent": null
    },
    "node_518": {
      "node_id": "node_518",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_517",
      "improvement_over_parent": null
    },
    "node_519": {
      "node_id": "node_519",
      "content": "INITIAL DESIGN (Trace 72)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n  Mass: 128.27 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.83e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.2708540662609,
      "fos_buckling": 0.2724989972723973,
      "fos_yielding": 1.386358746102423,
      "deflection": 0.028277685713205544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_520": {
      "node_id": "node_520",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n  Mass: 143.34 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.338353062211,
      "fos_buckling": 0.30320797671547434,
      "fos_yielding": 1.553766915941825,
      "deflection": 0.02532559330978248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_519",
      "improvement_over_parent": null
    },
    "node_521": {
      "node_id": "node_521",
      "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n  Mass: 143.89 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.8915485293682,
      "fos_buckling": 0.3995451257472653,
      "fos_yielding": 2.1531656498102225,
      "deflection": 0.024142279991544526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.456)"
      },
      "parent_node_id": "node_520",
      "improvement_over_parent": null
    },
    "node_522": {
      "node_id": "node_522",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n  Mass: 144.51 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.34e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.51224678084245,
      "fos_buckling": 0.39950293588264046,
      "fos_yielding": 2.688910857815914,
      "deflection": 0.023413206211229706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.364)"
      },
      "parent_node_id": "node_521",
      "improvement_over_parent": null
    },
    "node_523": {
      "node_id": "node_523",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.87 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.87331776120044,
      "fos_buckling": 0.487758447066165,
      "fos_yielding": 3.4137706804890904,
      "deflection": 0.018470117009917048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_522",
      "improvement_over_parent": null
    },
    "node_524": {
      "node_id": "node_524",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72152925017895,
      "fos_buckling": 1.5304970795925201,
      "fos_yielding": 4.8372989983374675,
      "deflection": 0.01122571424186765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_523",
      "improvement_over_parent": null
    },
    "node_525": {
      "node_id": "node_525",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_524",
      "improvement_over_parent": null
    },
    "node_526": {
      "node_id": "node_526",
      "content": "INITIAL DESIGN (Trace 73)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 104.92 kg\n  Factor of Safety: 0.78\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.92289071210213,
      "fos_buckling": 0.7786558296901015,
      "fos_yielding": 2.554546814415337,
      "deflection": 0.021808463398082602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_527": {
      "node_id": "node_527",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 123.15 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.15057126934674,
      "fos_buckling": 0.903810774298044,
      "fos_yielding": 2.996347504194133,
      "deflection": 0.01862765625784891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_526",
      "improvement_over_parent": null
    },
    "node_528": {
      "node_id": "node_528",
      "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 124.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.18857154449448,
      "fos_buckling": 1.0030331570976998,
      "fos_yielding": 2.996805180632535,
      "deflection": 0.01875572412257755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.182)"
      },
      "parent_node_id": "node_527",
      "improvement_over_parent": null
    },
    "node_529": {
      "node_id": "node_529",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 156.90 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.89746846136995,
      "fos_buckling": 1.23458762159627,
      "fos_yielding": 3.782002176793697,
      "deflection": 0.014910679349628118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_528",
      "improvement_over_parent": null
    },
    "node_530": {
      "node_id": "node_530",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.41 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.4066768578149,
      "fos_buckling": 1.5169180179645434,
      "fos_yielding": 4.847622827273123,
      "deflection": 0.011683937629723543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_529",
      "improvement_over_parent": null
    },
    "node_531": {
      "node_id": "node_531",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75640338184996,
      "fos_buckling": 1.5306722576246852,
      "fos_yielding": 4.837863864912234,
      "deflection": 0.011223772669860283,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.429)"
      },
      "parent_node_id": "node_530",
      "improvement_over_parent": null
    },
    "node_532": {
      "node_id": "node_532",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_531",
      "improvement_over_parent": null
    },
    "node_533": {
      "node_id": "node_533",
      "content": "INITIAL DESIGN (Trace 74)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 125.46 kg\n  Factor of Safety: 0.50\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": 125.46439271533437,
      "fos_buckling": 0.5033864136585187,
      "fos_yielding": 3.3227679617520307,
      "deflection": 0.017595844704554144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_534": {
      "node_id": "node_534",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 142.08 kg\n  Factor of Safety: 0.56\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": 142.07738804656478,
      "fos_buckling": 0.5602495158217535,
      "fos_yielding": 3.7607155928377685,
      "deflection": 0.015562119106498355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_533",
      "improvement_over_parent": null
    },
    "node_535": {
      "node_id": "node_535",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 157.44 kg\n  Factor of Safety: 0.61\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": 157.43610265855258,
      "fos_buckling": 0.6108116477542872,
      "fos_yielding": 4.165162753058387,
      "deflection": 0.014063771476869252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_534",
      "improvement_over_parent": null
    },
    "node_536": {
      "node_id": "node_536",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 158.68 kg\n  Factor of Safety: 0.61\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": 158.68149429815855,
      "fos_buckling": 0.6108762801196407,
      "fos_yielding": 4.139409240070393,
      "deflection": 0.01401641004470497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.399)"
      },
      "parent_node_id": "node_535",
      "improvement_over_parent": null
    },
    "node_537": {
      "node_id": "node_537",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n  Mass: 168.62 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.62449041197456,
      "fos_buckling": 0.6093319885642613,
      "fos_yielding": 4.138342940116866,
      "deflection": 0.01576673733057933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004921)"
      },
      "parent_node_id": "node_536",
      "improvement_over_parent": null
    },
    "node_538": {
      "node_id": "node_538",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 178.21 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.20820569137334,
      "fos_buckling": 1.3662202691863514,
      "fos_yielding": 4.214066755820286,
      "deflection": 0.012845236525743386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004831)"
      },
      "parent_node_id": "node_537",
      "improvement_over_parent": null
    },
    "node_539": {
      "node_id": "node_539",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80938055692715,
      "fos_buckling": 1.531125423010126,
      "fos_yielding": 4.839646104751476,
      "deflection": 0.011220261678318938,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_538",
      "improvement_over_parent": null
    },
    "node_540": {
      "node_id": "node_540",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_539",
      "improvement_over_parent": null
    },
    "node_541": {
      "node_id": "node_541",
      "content": "INITIAL DESIGN (Trace 75)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 96.22 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.21596015134759,
      "fos_buckling": 0.15852053681674438,
      "fos_yielding": 0.7298555488498859,
      "deflection": 0.06467438549047058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_542": {
      "node_id": "node_542",
      "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 97.39 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.39300212828243,
      "fos_buckling": 0.15850470891400098,
      "fos_yielding": 0.7315145200908855,
      "deflection": 0.06440694369589442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.230)"
      },
      "parent_node_id": "node_541",
      "improvement_over_parent": null
    },
    "node_543": {
      "node_id": "node_543",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n  Mass: 105.30 kg\n  Factor of Safety: 0.80\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": 105.29628411760861,
      "fos_buckling": 0.8000516867662603,
      "fos_yielding": 2.524130836479933,
      "deflection": 0.021419634752569163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003550)"
      },
      "parent_node_id": "node_542",
      "improvement_over_parent": null
    },
    "node_544": {
      "node_id": "node_544",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n  Mass: 106.31 kg\n  Factor of Safety: 0.80\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.30943602949755,
      "fos_buckling": 0.8001488947165998,
      "fos_yielding": 2.9483890160539383,
      "deflection": 0.02128131953029582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.355)"
      },
      "parent_node_id": "node_543",
      "improvement_over_parent": null
    },
    "node_545": {
      "node_id": "node_545",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 134.42 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.41904353792464,
      "fos_buckling": 0.9938055838953613,
      "fos_yielding": 3.7232363465301734,
      "deflection": 0.016899716951439225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_544",
      "improvement_over_parent": null
    },
    "node_546": {
      "node_id": "node_546",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0055)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n  Mass: 149.16 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.15610046750214,
      "fos_buckling": 1.0923514321293917,
      "fos_yielding": 4.128663141404737,
      "deflection": 0.015262438989667306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_545",
      "improvement_over_parent": null
    },
    "node_547": {
      "node_id": "node_547",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0065)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 173.72 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.72410768471713,
      "fos_buckling": 1.2520784167255687,
      "fos_yielding": 4.803308779366173,
      "deflection": 0.013150481838672281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_546",
      "improvement_over_parent": null
    },
    "node_548": {
      "node_id": "node_548",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0077)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.08 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.0775010809634,
      "fos_buckling": 1.4415521947363956,
      "fos_yielding": 5.634668238815948,
      "deflection": 0.011243383671372793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_547",
      "improvement_over_parent": null
    },
    "node_549": {
      "node_id": "node_549",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_548",
      "improvement_over_parent": null
    },
    "node_550": {
      "node_id": "node_550",
      "content": "INITIAL DESIGN (Trace 76)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n  Mass: 80.59 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 80.58609257587958,
      "fos_buckling": 0.22863234716653547,
      "fos_yielding": 1.8770883316064864,
      "deflection": 0.03769747748791679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_551": {
      "node_id": "node_551",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n\nPerformance:\n  Mass: 85.55 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.55376006029509,
      "fos_buckling": 0.5471368946081618,
      "fos_yielding": 2.150497560836443,
      "deflection": 0.02722560465087182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002411)"
      },
      "parent_node_id": "node_550",
      "improvement_over_parent": null
    },
    "node_552": {
      "node_id": "node_552",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n\nPerformance:\n  Mass: 104.74 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.23e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.73886496837198,
      "fos_buckling": 0.6576142332914863,
      "fos_yielding": 2.6312312019653135,
      "deflection": 0.022303263993637277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_551",
      "improvement_over_parent": null
    },
    "node_553": {
      "node_id": "node_553",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n\nPerformance:\n  Mass: 123.74 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.74215942318418,
      "fos_buckling": 0.7626802278777783,
      "fos_yielding": 3.1068667616103656,
      "deflection": 0.018932271435396258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_552",
      "improvement_over_parent": null
    },
    "node_554": {
      "node_id": "node_554",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n  Mass: 132.79 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.79285883179082,
      "fos_buckling": 0.934455923360223,
      "fos_yielding": 3.1111287165767463,
      "deflection": 0.016971123083716604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003982)"
      },
      "parent_node_id": "node_553",
      "improvement_over_parent": null
    },
    "node_555": {
      "node_id": "node_555",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n\nPerformance:\n  Mass: 133.53 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.5270623441988,
      "fos_buckling": 1.0665509153959758,
      "fos_yielding": 3.1612594441825905,
      "deflection": 0.01703236005051004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001580)"
      },
      "parent_node_id": "node_554",
      "improvement_over_parent": null
    },
    "node_556": {
      "node_id": "node_556",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n  Mass: 159.93 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.93014820198292,
      "fos_buckling": 1.2469942764681228,
      "fos_yielding": 3.783669896545921,
      "deflection": 0.014275621954234936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_555",
      "improvement_over_parent": null
    },
    "node_557": {
      "node_id": "node_557",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6595611655335,
      "fos_buckling": 1.530091385663104,
      "fos_yielding": 4.836082556424297,
      "deflection": 0.011228630910625467,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_556",
      "improvement_over_parent": null
    },
    "node_558": {
      "node_id": "node_558",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 77)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_560": {
      "node_id": "node_560",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 161.96 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.87e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.9571818510945,
      "fos_buckling": 0.24923940437909853,
      "fos_yielding": 1.244299421524424,
      "deflection": 0.03873268622543638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004107)"
      },
      "parent_node_id": "node_559",
      "improvement_over_parent": null
    },
    "node_561": {
      "node_id": "node_561",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 166.62 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.83e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.62413583456848,
      "fos_buckling": 0.24914177269812066,
      "fos_yielding": 1.2255958458787137,
      "deflection": 0.03829653683136233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003664)"
      },
      "parent_node_id": "node_560",
      "improvement_over_parent": null
    },
    "node_562": {
      "node_id": "node_562",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 179.98 kg\n  Factor of Safety: 1.38\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": 179.9752399317324,
      "fos_buckling": 1.3774082063045014,
      "fos_yielding": 4.255362317145059,
      "deflection": 0.012723292140976365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006197)"
      },
      "parent_node_id": "node_561",
      "improvement_over_parent": null
    },
    "node_563": {
      "node_id": "node_563",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70991919442702,
      "fos_buckling": 1.5304464355836056,
      "fos_yielding": 4.836986597039356,
      "deflection": 0.011226327324714994,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_562",
      "improvement_over_parent": null
    },
    "node_564": {
      "node_id": "node_564",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 78)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 121.14 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.94e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.13836738049096,
      "fos_buckling": 0.48106822071303357,
      "fos_yielding": 2.9040344792914836,
      "deflection": 0.029404970888816495,
      "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 all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 141.10 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.10463099386695,
      "fos_buckling": 0.5488269642584951,
      "fos_yielding": 3.3865434983205502,
      "deflection": 0.025276800475079183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_565",
      "improvement_over_parent": null
    },
    "node_567": {
      "node_id": "node_567",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 141.65 kg\n  Factor of Safety: 0.55\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": 141.65445314469278,
      "fos_buckling": 0.5487243483062588,
      "fos_yielding": 3.3412988334338793,
      "deflection": 0.019637691389183257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001500)"
      },
      "parent_node_id": "node_566",
      "improvement_over_parent": null
    },
    "node_568": {
      "node_id": "node_568",
      "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 145.67 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.67082576411525,
      "fos_buckling": 0.5481628324128835,
      "fos_yielding": 3.650953580986101,
      "deflection": 0.017995127010232804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.562)"
      },
      "parent_node_id": "node_567",
      "improvement_over_parent": null
    },
    "node_569": {
      "node_id": "node_569",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n  Mass: 154.13 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.12781947589318,
      "fos_buckling": 1.1390165386864857,
      "fos_yielding": 3.6471528273131106,
      "deflection": 0.014694125631245827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004222)"
      },
      "parent_node_id": "node_568",
      "improvement_over_parent": null
    },
    "node_570": {
      "node_id": "node_570",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0055)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n  Mass: 156.06 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.05571784787898,
      "fos_buckling": 1.1389724999162247,
      "fos_yielding": 3.64701181432514,
      "deflection": 0.01456932773357324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.218)"
      },
      "parent_node_id": "node_569",
      "improvement_over_parent": null
    },
    "node_571": {
      "node_id": "node_571",
      "content": "MODIFICATION: Increase 19 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0055)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n  Mass: 156.21 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.20733207674792,
      "fos_buckling": 1.138898007959003,
      "fos_yielding": 3.6467732896477836,
      "deflection": 0.014557589302197934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.302)"
      },
      "parent_node_id": "node_570",
      "improvement_over_parent": null
    },
    "node_572": {
      "node_id": "node_572",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0026)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 203.45 kg\n  Factor of Safety: 1.44\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.44942358586562,
      "fos_buckling": 1.4365540681779705,
      "fos_yielding": 4.758170643316478,
      "deflection": 0.011253962923147613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_571",
      "improvement_over_parent": null
    },
    "node_573": {
      "node_id": "node_573",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_572",
      "improvement_over_parent": null
    },
    "node_574": {
      "node_id": "node_574",
      "content": "INITIAL DESIGN (Trace 79)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 124.09 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.08720422183653,
      "fos_buckling": 0.236063814746332,
      "fos_yielding": 1.3668109352526494,
      "deflection": 0.04305488611600635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_575": {
      "node_id": "node_575",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 138.06 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.88e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.05897322259088,
      "fos_buckling": 0.25879700134407485,
      "fos_yielding": 1.517126245236189,
      "deflection": 0.038784923613403535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_574",
      "improvement_over_parent": null
    },
    "node_576": {
      "node_id": "node_576",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 138.63 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.63357688429824,
      "fos_buckling": 0.25878446896523905,
      "fos_yielding": 1.5170183729430768,
      "deflection": 0.03864082450088036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.238)"
      },
      "parent_node_id": "node_575",
      "improvement_over_parent": null
    },
    "node_577": {
      "node_id": "node_577",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 166.56 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.23e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.56479318154973,
      "fos_buckling": 0.30178765059357604,
      "fos_yielding": 1.8141687712259227,
      "deflection": 0.03230589587638193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_576",
      "improvement_over_parent": null
    },
    "node_578": {
      "node_id": "node_578",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n  Mass: 177.44 kg\n  Factor of Safety: 1.32\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": 177.44373451539371,
      "fos_buckling": 1.316837900950193,
      "fos_yielding": 4.230096394330219,
      "deflection": 0.012875117337205042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005564)"
      },
      "parent_node_id": "node_577",
      "improvement_over_parent": null
    },
    "node_579": {
      "node_id": "node_579",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 203.78 kg\n  Factor of Safety: 1.48\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": 203.78139352585706,
      "fos_buckling": 1.4750499011485612,
      "fos_yielding": 4.854199784626902,
      "deflection": 0.011254582124947779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_578",
      "improvement_over_parent": null
    },
    "node_580": {
      "node_id": "node_580",
      "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7764173044768,
      "fos_buckling": 1.5308185258106297,
      "fos_yielding": 4.838391022865108,
      "deflection": 0.011222816351097849,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.253)"
      },
      "parent_node_id": "node_579",
      "improvement_over_parent": null
    },
    "node_581": {
      "node_id": "node_581",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 80)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.23 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.18e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.2322335502873,
      "fos_buckling": 0.07994107523407006,
      "fos_yielding": 1.9721688255087158,
      "deflection": 11803028837492.625,
      "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: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.69 kg\n  Factor of Safety: 0.32\n  Max Deflection: 7.21e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.68980748103377,
      "fos_buckling": 0.3197643009362802,
      "fos_yielding": 5.259116868023241,
      "deflection": 7206259870450.822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.418)"
      },
      "parent_node_id": "node_582",
      "improvement_over_parent": null
    },
    "node_584": {
      "node_id": "node_584",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 195.18 kg\n  Factor of Safety: 0.43\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": 195.17761455805052,
      "fos_buckling": 0.4258044030388619,
      "fos_yielding": 4.902478228117339,
      "deflection": 0.012664832359123569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_583",
      "improvement_over_parent": null
    },
    "node_585": {
      "node_id": "node_585",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69327237505087,
      "fos_buckling": 1.5303941986133882,
      "fos_yielding": 4.836704256079262,
      "deflection": 0.011227131273073525,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_584",
      "improvement_over_parent": null
    },
    "node_586": {
      "node_id": "node_586",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_585",
      "improvement_over_parent": null
    },
    "node_587": {
      "node_id": "node_587",
      "content": "INITIAL DESIGN (Trace 81)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 114.11 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.11420010732667,
      "fos_buckling": 0.6924859444822796,
      "fos_yielding": 2.8357167946563555,
      "deflection": 0.020928247696892253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_588": {
      "node_id": "node_588",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 133.25 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.25015636855528,
      "fos_buckling": 0.7939757946366018,
      "fos_yielding": 3.3094536122973444,
      "deflection": 0.01797313626100389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_587",
      "improvement_over_parent": null
    },
    "node_589": {
      "node_id": "node_589",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n\nPerformance:\n  Mass: 139.72 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.71504092727818,
      "fos_buckling": 1.1105650337842845,
      "fos_yielding": 3.310788144558651,
      "deflection": 0.016300433862726796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003732)"
      },
      "parent_node_id": "node_588",
      "improvement_over_parent": null
    },
    "node_590": {
      "node_id": "node_590",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 163.90 kg\n  Factor of Safety: 1.27\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": 163.90128001686722,
      "fos_buckling": 1.274194864247521,
      "fos_yielding": 3.8813647162582074,
      "deflection": 0.013944122565354818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_589",
      "improvement_over_parent": null
    },
    "node_591": {
      "node_id": "node_591",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0047)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 164.87 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.87374743171486,
      "fos_buckling": 1.2918196633006218,
      "fos_yielding": 3.8806631028736285,
      "deflection": 0.013926521731124455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.433)"
      },
      "parent_node_id": "node_590",
      "improvement_over_parent": null
    },
    "node_592": {
      "node_id": "node_592",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0060)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.53605354101973,
      "fos_buckling": 1.5498272587135278,
      "fos_yielding": 4.833361454683119,
      "deflection": 0.011235875161931459,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_591",
      "improvement_over_parent": null
    },
    "node_593": {
      "node_id": "node_593",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_592",
      "improvement_over_parent": null
    },
    "node_594": {
      "node_id": "node_594",
      "content": "INITIAL DESIGN (Trace 82)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 153.13 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.13367865551461,
      "fos_buckling": 0.28391161726358927,
      "fos_yielding": 1.6885298901645518,
      "deflection": 0.03470677074684599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_595": {
      "node_id": "node_595",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 163.24 kg\n  Factor of Safety: 1.18\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": 163.2372574221024,
      "fos_buckling": 1.1845564943379012,
      "fos_yielding": 3.8716049619582846,
      "deflection": 0.014065445940033157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005137)"
      },
      "parent_node_id": "node_594",
      "improvement_over_parent": null
    },
    "node_596": {
      "node_id": "node_596",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.78 kg\n  Factor of Safety: 1.40\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": 201.78269047737408,
      "fos_buckling": 1.403485311798742,
      "fos_yielding": 4.780650789514593,
      "deflection": 0.01144149921684052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_595",
      "improvement_over_parent": null
    },
    "node_597": {
      "node_id": "node_597",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67955816537975,
      "fos_buckling": 1.5302509137256954,
      "fos_yielding": 4.836260165059304,
      "deflection": 0.01122788491860038,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.562)"
      },
      "parent_node_id": "node_596",
      "improvement_over_parent": null
    },
    "node_598": {
      "node_id": "node_598",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_597",
      "improvement_over_parent": null
    },
    "node_599": {
      "node_id": "node_599",
      "content": "INITIAL DESIGN (Trace 83)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 167.40 kg\n  Factor of Safety: 0.63\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": 167.40140853748363,
      "fos_buckling": 0.6254919986084206,
      "fos_yielding": 2.2389834081404887,
      "deflection": 0.016690359413904378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_600": {
      "node_id": "node_600",
      "content": "MODIFICATION: Increase 18 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 171.08 kg\n  Factor of Safety: 0.63\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": 171.08479879832285,
      "fos_buckling": 0.6252967473066289,
      "fos_yielding": 2.3661005856795985,
      "deflection": 0.016234751792712495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.266)"
      },
      "parent_node_id": "node_599",
      "improvement_over_parent": null
    },
    "node_601": {
      "node_id": "node_601",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 173.88 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.8813044502321,
      "fos_buckling": 0.625000502662184,
      "fos_yielding": 4.266682281756315,
      "deflection": 0.015301506132120012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003703)"
      },
      "parent_node_id": "node_600",
      "improvement_over_parent": null
    },
    "node_602": {
      "node_id": "node_602",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n  Mass: 183.77 kg\n  Factor of Safety: 1.40\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": 183.76988618667568,
      "fos_buckling": 1.4013065573518404,
      "fos_yielding": 4.344753320717135,
      "deflection": 0.012467413958564807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004998)"
      },
      "parent_node_id": "node_601",
      "improvement_over_parent": null
    },
    "node_603": {
      "node_id": "node_603",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67403256129296,
      "fos_buckling": 1.5300835766856122,
      "fos_yielding": 4.8362660436898235,
      "deflection": 0.011228189097671542,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_602",
      "improvement_over_parent": null
    },
    "node_604": {
      "node_id": "node_604",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 84)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0028)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n  Mass: 81.97 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 81.97327924738315,
      "fos_buckling": 0.685442095607844,
      "fos_yielding": 1.943301262852972,
      "deflection": 0.027535014686967684,
      "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 all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 103.11 kg\n  Factor of Safety: 0.85\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": 103.11134671430034,
      "fos_buckling": 0.8463463252826411,
      "fos_yielding": 2.443023634288603,
      "deflection": 0.021958757323343642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_605",
      "improvement_over_parent": null
    },
    "node_607": {
      "node_id": "node_607",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 126.38 kg\n  Factor of Safety: 1.02\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": 126.38315511887696,
      "fos_buckling": 1.016050120265109,
      "fos_yielding": 2.9925337400620213,
      "deflection": 0.017976853386844755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_606",
      "improvement_over_parent": null
    },
    "node_608": {
      "node_id": "node_608",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 160.80 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.797346310597,
      "fos_buckling": 1.2527957417027944,
      "fos_yielding": 3.803888551410463,
      "deflection": 0.014200907212861739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_607",
      "improvement_over_parent": null
    },
    "node_609": {
      "node_id": "node_609",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74030003564044,
      "fos_buckling": 1.5306326186872132,
      "fos_yielding": 4.837720865660528,
      "deflection": 0.011224698860589214,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_608",
      "improvement_over_parent": null
    },
    "node_610": {
      "node_id": "node_610",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_609",
      "improvement_over_parent": null
    },
    "node_611": {
      "node_id": "node_611",
      "content": "INITIAL DESIGN (Trace 85)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 135.88 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.88318295726327,
      "fos_buckling": 0.26042424221258836,
      "fos_yielding": 2.18714916222834,
      "deflection": 16940230878911.984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_612": {
      "node_id": "node_612",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 138.39 kg\n  Factor of Safety: 0.08\n  Max Deflection: 2.58e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.38924803100238,
      "fos_buckling": 0.08276082304336654,
      "fos_yielding": 0.9860844127543579,
      "deflection": 25826996477168.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003289)"
      },
      "parent_node_id": "node_611",
      "improvement_over_parent": null
    },
    "node_613": {
      "node_id": "node_613",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 172.06 kg\n  Factor of Safety: 0.04\n  Max Deflection: 5.84e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.0568564369892,
      "fos_buckling": 0.04192513033711669,
      "fos_yielding": 0.5406868902285155,
      "deflection": 58388289303496.81,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_612",
      "improvement_over_parent": null
    },
    "node_614": {
      "node_id": "node_614",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 177.36 kg\n  Factor of Safety: 0.10\n  Max Deflection: 2.39e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.3649019139837,
      "fos_buckling": 0.10062031280908004,
      "fos_yielding": 1.2591909028463328,
      "deflection": 23915293733700.387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_613",
      "improvement_over_parent": null
    },
    "node_615": {
      "node_id": "node_615",
      "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 178.61 kg\n  Factor of Safety: 0.01\n  Max Deflection: 4.17e+14 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.60847449838303,
      "fos_buckling": 0.009546622005649166,
      "fos_yielding": 0.06163027579714737,
      "deflection": 416897382441323.44,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.179)"
      },
      "parent_node_id": "node_614",
      "improvement_over_parent": null
    },
    "node_616": {
      "node_id": "node_616",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 193.79 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.79302851328444,
      "fos_buckling": 0.24722225672292028,
      "fos_yielding": 4.802349928190658,
      "deflection": 0.011660292417964624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_615",
      "improvement_over_parent": null
    },
    "node_617": {
      "node_id": "node_617",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 205.22 kg\n  Factor of Safety: 1.44\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": 205.22022867932407,
      "fos_buckling": 1.4444861548628547,
      "fos_yielding": 4.805776361250554,
      "deflection": 0.011241898485183801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_616",
      "improvement_over_parent": null
    },
    "node_618": {
      "node_id": "node_618",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_617",
      "improvement_over_parent": null
    },
    "node_619": {
      "node_id": "node_619",
      "content": "INITIAL DESIGN (Trace 86)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 167.48 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.48204650808856,
      "fos_buckling": 1.0892060630364664,
      "fos_yielding": 4.056234897363045,
      "deflection": 0.013053579155827114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_620": {
      "node_id": "node_620",
      "content": "MODIFICATION: Increase 17 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 169.59 kg\n  Factor of Safety: 1.28\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": 169.58782025372216,
      "fos_buckling": 1.2764283244143557,
      "fos_yielding": 4.057144216149995,
      "deflection": 0.013269551574260305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.304)"
      },
      "parent_node_id": "node_619",
      "improvement_over_parent": null
    },
    "node_621": {
      "node_id": "node_621",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.35 kg\n  Factor of Safety: 1.48\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": 202.35450535800965,
      "fos_buckling": 1.4837084221295511,
      "fos_yielding": 4.836053615127534,
      "deflection": 0.011176723187372815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_620",
      "improvement_over_parent": null
    },
    "node_622": {
      "node_id": "node_622",
      "content": "MODIFICATION: Increase 18 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60674867395278,
      "fos_buckling": 1.5298439778981288,
      "fos_yielding": 4.834629503619788,
      "deflection": 0.011231685522981679,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.389)"
      },
      "parent_node_id": "node_621",
      "improvement_over_parent": null
    },
    "node_623": {
      "node_id": "node_623",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_622",
      "improvement_over_parent": null
    },
    "node_624": {
      "node_id": "node_624",
      "content": "INITIAL DESIGN (Trace 87)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 185.12 kg\n  Factor of Safety: 0.22\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": 185.12180513221267,
      "fos_buckling": 0.22442286034438966,
      "fos_yielding": 5.161214493962769,
      "deflection": 0.012220397325937694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_625": {
      "node_id": "node_625",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 196.55 kg\n  Factor of Safety: 1.15\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": 196.5490052982523,
      "fos_buckling": 1.1542551529528176,
      "fos_yielding": 5.161214493962766,
      "deflection": 0.01226500623594889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_624",
      "improvement_over_parent": null
    },
    "node_626": {
      "node_id": "node_626",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 201.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.8570507752468,
      "fos_buckling": 1.527601417200801,
      "fos_yielding": 4.835308141076604,
      "deflection": 0.01157752103483191,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_625",
      "improvement_over_parent": null
    },
    "node_627": {
      "node_id": "node_627",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71143707026437,
      "fos_buckling": 1.5304025189732648,
      "fos_yielding": 4.83679040185636,
      "deflection": 0.011225692018881761,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.238)"
      },
      "parent_node_id": "node_626",
      "improvement_over_parent": null
    },
    "node_628": {
      "node_id": "node_628",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_627",
      "improvement_over_parent": null
    },
    "node_629": {
      "node_id": "node_629",
      "content": "INITIAL DESIGN (Trace 88)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 161.47 kg\n  Factor of Safety: 0.91\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": 161.47057292468193,
      "fos_buckling": 0.9137616849526802,
      "fos_yielding": 3.7203593384394975,
      "deflection": 0.013541711673842763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_630": {
      "node_id": "node_630",
      "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 165.37 kg\n  Factor of Safety: 0.91\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": 165.36603754596337,
      "fos_buckling": 0.9140717035056882,
      "fos_yielding": 3.7203593384394975,
      "deflection": 0.012786713956366111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.412)"
      },
      "parent_node_id": "node_629",
      "improvement_over_parent": null
    },
    "node_631": {
      "node_id": "node_631",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 172.97 kg\n  Factor of Safety: 1.05\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": 172.97210587529028,
      "fos_buckling": 1.046215994363294,
      "fos_yielding": 3.7203593384394975,
      "deflection": 0.013385640956584528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004342)"
      },
      "parent_node_id": "node_630",
      "improvement_over_parent": null
    },
    "node_632": {
      "node_id": "node_632",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 173.92 kg\n  Factor of Safety: 1.05\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": 173.9208676833599,
      "fos_buckling": 1.046215994363294,
      "fos_yielding": 4.5610342575282585,
      "deflection": 0.013385640956584528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.245)"
      },
      "parent_node_id": "node_631",
      "improvement_over_parent": null
    },
    "node_633": {
      "node_id": "node_633",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 196.87 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.87351736650777,
      "fos_buckling": 1.153984537750255,
      "fos_yielding": 5.16239610012017,
      "deflection": 0.011867714400466323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_632",
      "improvement_over_parent": null
    },
    "node_634": {
      "node_id": "node_634",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65516587876024,
      "fos_buckling": 1.5301544362173864,
      "fos_yielding": 4.8368669377906155,
      "deflection": 0.011229836670586664,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_633",
      "improvement_over_parent": null
    },
    "node_635": {
      "node_id": "node_635",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_634",
      "improvement_over_parent": null
    },
    "node_636": {
      "node_id": "node_636",
      "content": "INITIAL DESIGN (Trace 89)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 154.44 kg\n  Factor of Safety: 1.02\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": 154.44330764820282,
      "fos_buckling": 1.019751897307273,
      "fos_yielding": 3.227804088904188,
      "deflection": 0.01469338976715643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_637": {
      "node_id": "node_637",
      "content": "MODIFICATION: Increase 16 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 157.05 kg\n  Factor of Safety: 1.02\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": 157.05441396296885,
      "fos_buckling": 1.0193398555313125,
      "fos_yielding": 3.2264998597747723,
      "deflection": 0.014399638833686931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.460)"
      },
      "parent_node_id": "node_636",
      "improvement_over_parent": null
    },
    "node_638": {
      "node_id": "node_638",
      "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 159.17 kg\n  Factor of Safety: 1.02\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": 159.17382073182122,
      "fos_buckling": 1.0193532647180565,
      "fos_yielding": 3.2265423036554024,
      "deflection": 0.014295946600923962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.565)"
      },
      "parent_node_id": "node_637",
      "improvement_over_parent": null
    },
    "node_639": {
      "node_id": "node_639",
      "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 160.31 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.31212567261755,
      "fos_buckling": 1.2184262710376204,
      "fos_yielding": 3.8255053752835737,
      "deflection": 0.014174139135200861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.414)"
      },
      "parent_node_id": "node_638",
      "improvement_over_parent": null
    },
    "node_640": {
      "node_id": "node_640",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 161.59 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.59443924185334,
      "fos_buckling": 1.2580871758141285,
      "fos_yielding": 3.8228163973275304,
      "deflection": 0.014132174981314784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.221)"
      },
      "parent_node_id": "node_639",
      "improvement_over_parent": null
    },
    "node_641": {
      "node_id": "node_641",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 182.88 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.88266290906364,
      "fos_buckling": 1.395856455623045,
      "fos_yielding": 4.323958915159042,
      "deflection": 0.012526027025034815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_640",
      "improvement_over_parent": null
    },
    "node_642": {
      "node_id": "node_642",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68521245579745,
      "fos_buckling": 1.530308892841977,
      "fos_yielding": 4.836616229654049,
      "deflection": 0.01122737348686771,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_641",
      "improvement_over_parent": null
    },
    "node_643": {
      "node_id": "node_643",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_642",
      "improvement_over_parent": null
    },
    "node_644": {
      "node_id": "node_644",
      "content": "INITIAL DESIGN (Trace 90)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 121.51 kg\n  Factor of Safety: 0.27\n  Max Deflection: 4.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.5115621765357,
      "fos_buckling": 0.27352223513235246,
      "fos_yielding": 1.984284436081557,
      "deflection": 0.040575664175301805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_645": {
      "node_id": "node_645",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 130.31 kg\n  Factor of Safety: 0.27\n  Max Deflection: 4.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.31481728812034,
      "fos_buckling": 0.2729132281226337,
      "fos_yielding": 1.4671664379288638,
      "deflection": 0.04371322994835303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004316)"
      },
      "parent_node_id": "node_644",
      "improvement_over_parent": null
    },
    "node_646": {
      "node_id": "node_646",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 146.38 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.3764184351719,
      "fos_buckling": 0.27254417332860337,
      "fos_yielding": 1.6103610931547858,
      "deflection": 0.03672108719214834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005830)"
      },
      "parent_node_id": "node_645",
      "improvement_over_parent": null
    },
    "node_647": {
      "node_id": "node_647",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 156.00 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.99750751054876,
      "fos_buckling": 1.2319942477813115,
      "fos_yielding": 3.727434451381587,
      "deflection": 0.014641881640804428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004874)"
      },
      "parent_node_id": "node_646",
      "improvement_over_parent": null
    },
    "node_648": {
      "node_id": "node_648",
      "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 157.63 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.63029307973733,
      "fos_buckling": 1.2286740165288037,
      "fos_yielding": 3.726712490766394,
      "deflection": 0.014689019158710542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.269)"
      },
      "parent_node_id": "node_647",
      "improvement_over_parent": null
    },
    "node_649": {
      "node_id": "node_649",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0054)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n  Mass: 176.42 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.41764496601562,
      "fos_buckling": 1.3517996480197187,
      "fos_yielding": 4.169040668135063,
      "deflection": 0.013157897683275604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_648",
      "improvement_over_parent": null
    },
    "node_650": {
      "node_id": "node_650",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0063)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66493091964932,
      "fos_buckling": 1.5277725368172077,
      "fos_yielding": 4.833378244220081,
      "deflection": 0.011384702391216127,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_649",
      "improvement_over_parent": null
    },
    "node_651": {
      "node_id": "node_651",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 91)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n  Mass: 130.95 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.9452652622702,
      "fos_buckling": 0.8258511075583971,
      "fos_yielding": 3.206211514357319,
      "deflection": 0.017435031752037214,
      "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: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 135.41 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.41429904215266,
      "fos_buckling": 1.0792972636371383,
      "fos_yielding": 3.205856998584428,
      "deflection": 0.016800021726305826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.508)"
      },
      "parent_node_id": "node_652",
      "improvement_over_parent": null
    },
    "node_654": {
      "node_id": "node_654",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 171.83 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.8276511571934,
      "fos_buckling": 1.324515293384601,
      "fos_yielding": 4.063945403432113,
      "deflection": 0.013310594173822694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_653",
      "improvement_over_parent": null
    },
    "node_655": {
      "node_id": "node_655",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5286079856065,
      "fos_buckling": 1.5287238979206343,
      "fos_yielding": 4.833121225168175,
      "deflection": 0.011235850661172534,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_654",
      "improvement_over_parent": null
    },
    "node_656": {
      "node_id": "node_656",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_655",
      "improvement_over_parent": null
    },
    "node_657": {
      "node_id": "node_657",
      "content": "INITIAL DESIGN (Trace 92)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_658": {
      "node_id": "node_658",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 189.32 kg\n  Factor of Safety: 1.09\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": 189.32395525733475,
      "fos_buckling": 1.0939437038179398,
      "fos_yielding": 4.8357224411230675,
      "deflection": 0.01237328781976624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_657",
      "improvement_over_parent": null
    },
    "node_659": {
      "node_id": "node_659",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 203.21 kg\n  Factor of Safety: 1.41\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": 203.20886213295634,
      "fos_buckling": 1.414780964016262,
      "fos_yielding": 4.682591886224979,
      "deflection": 0.011285918866765339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_658",
      "improvement_over_parent": null
    },
    "node_660": {
      "node_id": "node_660",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 205.71 kg\n  Factor of Safety: 1.41\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": 205.70512355510598,
      "fos_buckling": 1.4147081768230558,
      "fos_yielding": 4.682350977752927,
      "deflection": 0.011190208704500673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.224)"
      },
      "parent_node_id": "node_659",
      "improvement_over_parent": null
    },
    "node_661": {
      "node_id": "node_661",
      "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0056)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 206.75 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.75450081049917,
      "fos_buckling": 1.465004544977305,
      "fos_yielding": 4.863025633529305,
      "deflection": 0.01113135635561235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.269)"
      },
      "parent_node_id": "node_660",
      "improvement_over_parent": null
    },
    "node_662": {
      "node_id": "node_662",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_661",
      "improvement_over_parent": null
    },
    "node_663": {
      "node_id": "node_663",
      "content": "INITIAL DESIGN (Trace 93)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 100.08 kg\n  Factor of Safety: 0.82\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.07981126014221,
      "fos_buckling": 0.8236661725670721,
      "fos_yielding": 2.3713903424080365,
      "deflection": 0.022613794596387193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_664": {
      "node_id": "node_664",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 116.48 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.47792596585204,
      "fos_buckling": 0.9447696957597801,
      "fos_yielding": 2.7587285192858118,
      "deflection": 0.019477187566341078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_663",
      "improvement_over_parent": null
    },
    "node_665": {
      "node_id": "node_665",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 137.13 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.1345310703291,
      "fos_buckling": 1.0918285781507349,
      "fos_yielding": 3.246170939875974,
      "deflection": 0.01659365546595344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_664",
      "improvement_over_parent": null
    },
    "node_666": {
      "node_id": "node_666",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 169.22 kg\n  Factor of Safety: 1.31\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": 169.21774197854106,
      "fos_buckling": 1.3081531068472958,
      "fos_yielding": 4.002181259435898,
      "deflection": 0.013510883486042425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_665",
      "improvement_over_parent": null
    },
    "node_667": {
      "node_id": "node_667",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65959740645192,
      "fos_buckling": 1.5301473602033067,
      "fos_yielding": 4.83582443030577,
      "deflection": 0.011228993320282217,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_666",
      "improvement_over_parent": null
    },
    "node_668": {
      "node_id": "node_668",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_667",
      "improvement_over_parent": null
    },
    "node_669": {
      "node_id": "node_669",
      "content": "INITIAL DESIGN (Trace 94)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n  Mass: 92.05 kg\n  Factor of Safety: 0.18\n  Max Deflection: 3.22e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.05092736094758,
      "fos_buckling": 0.18215935422284793,
      "fos_yielding": 1.3147792170058104,
      "deflection": 32242113609143.81,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_670": {
      "node_id": "node_670",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n\nPerformance:\n  Mass: 96.67 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.66736140314705,
      "fos_buckling": 0.2906141460094339,
      "fos_yielding": 2.0341213343722893,
      "deflection": 0.03365966328161934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002699)"
      },
      "parent_node_id": "node_669",
      "improvement_over_parent": null
    },
    "node_671": {
      "node_id": "node_671",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n  Mass: 104.11 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.10633992763385,
      "fos_buckling": 0.31271710234085753,
      "fos_yielding": 2.033890266867875,
      "deflection": 0.031125963616523766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003426)"
      },
      "parent_node_id": "node_670",
      "improvement_over_parent": null
    },
    "node_672": {
      "node_id": "node_672",
      "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n  Mass: 107.23 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.2261456397557,
      "fos_buckling": 0.3126338378209927,
      "fos_yielding": 2.033599621791559,
      "deflection": 0.031132843458419452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.618)"
      },
      "parent_node_id": "node_671",
      "improvement_over_parent": null
    },
    "node_673": {
      "node_id": "node_673",
      "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n  Mass: 110.22 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.90e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.22275512218675,
      "fos_buckling": 0.3125539030240721,
      "fos_yielding": 2.032948531496887,
      "deflection": 0.02898630527323757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.391)"
      },
      "parent_node_id": "node_672",
      "improvement_over_parent": null
    },
    "node_674": {
      "node_id": "node_674",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0066)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n  Mass: 143.40 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.40204052441683,
      "fos_buckling": 0.39348400846043263,
      "fos_yielding": 2.641198610842164,
      "deflection": 0.02236680022003797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_673",
      "improvement_over_parent": null
    },
    "node_675": {
      "node_id": "node_675",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0066)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 159.49 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.48934251500867,
      "fos_buckling": 1.0264772226301795,
      "fos_yielding": 3.738163638305473,
      "deflection": 0.01405110161977049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005840)"
      },
      "parent_node_id": "node_674",
      "improvement_over_parent": null
    },
    "node_676": {
      "node_id": "node_676",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 206.59 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.58519807713196,
      "fos_buckling": 1.3014673315351628,
      "fos_yielding": 4.838937364256453,
      "deflection": 0.010924222470009086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_675",
      "improvement_over_parent": null
    },
    "node_677": {
      "node_id": "node_677",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_676",
      "improvement_over_parent": null
    },
    "node_678": {
      "node_id": "node_678",
      "content": "INITIAL DESIGN (Trace 95)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 151.20 kg\n  Factor of Safety: 0.43\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": 151.19572633910337,
      "fos_buckling": 0.43096859610666444,
      "fos_yielding": 4.088471752276426,
      "deflection": 0.016964599813837918,
      "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 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n  Mass: 152.09 kg\n  Factor of Safety: 0.96\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": 152.08753228877313,
      "fos_buckling": 0.9580663343690705,
      "fos_yielding": 4.088471752276426,
      "deflection": 0.01559778875907941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001944)"
      },
      "parent_node_id": "node_678",
      "improvement_over_parent": null
    },
    "node_680": {
      "node_id": "node_680",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 158.25 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.24883035177524,
      "fos_buckling": 1.0975613345656905,
      "fos_yielding": 3.8389025538704105,
      "deflection": 0.014823107298265211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003668)"
      },
      "parent_node_id": "node_679",
      "improvement_over_parent": null
    },
    "node_681": {
      "node_id": "node_681",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 160.75 kg\n  Factor of Safety: 1.22\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": 160.7518688069304,
      "fos_buckling": 1.2154959578363829,
      "fos_yielding": 3.8371795533038937,
      "deflection": 0.01413337567531841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.282)"
      },
      "parent_node_id": "node_680",
      "improvement_over_parent": null
    },
    "node_682": {
      "node_id": "node_682",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 203.10 kg\n  Factor of Safety: 1.49\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": 203.10038653222128,
      "fos_buckling": 1.4879775307834513,
      "fos_yielding": 4.841756664140381,
      "deflection": 0.011256374302949856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_681",
      "improvement_over_parent": null
    },
    "node_683": {
      "node_id": "node_683",
      "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0071)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 205.47 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.46508326160875,
      "fos_buckling": 1.5094109419019095,
      "fos_yielding": 4.84239692739307,
      "deflection": 0.011370268865455406,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.233)"
      },
      "parent_node_id": "node_682",
      "improvement_over_parent": null
    },
    "node_684": {
      "node_id": "node_684",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_683",
      "improvement_over_parent": null
    },
    "node_685": {
      "node_id": "node_685",
      "content": "INITIAL DESIGN (Trace 96)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 154.37 kg\n  Factor of Safety: 1.11\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": 154.36893283683062,
      "fos_buckling": 1.1079480732053926,
      "fos_yielding": 3.779290520095067,
      "deflection": 0.015075710761514666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_686": {
      "node_id": "node_686",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 171.81 kg\n  Factor of Safety: 1.22\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": 171.80628250755433,
      "fos_buckling": 1.216880119721625,
      "fos_yielding": 4.203199750646774,
      "deflection": 0.013576834169801844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_685",
      "improvement_over_parent": null
    },
    "node_687": {
      "node_id": "node_687",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 174.30 kg\n  Factor of Safety: 1.26\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": 174.2967905259544,
      "fos_buckling": 1.255172152607629,
      "fos_yielding": 4.201452297932459,
      "deflection": 0.013018707876203578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.252)"
      },
      "parent_node_id": "node_686",
      "improvement_over_parent": null
    },
    "node_688": {
      "node_id": "node_688",
      "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 175.07 kg\n  Factor of Safety: 1.20\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": 175.06732490839306,
      "fos_buckling": 1.202870597353142,
      "fos_yielding": 4.200702157843684,
      "deflection": 0.013009411238839346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.431)"
      },
      "parent_node_id": "node_687",
      "improvement_over_parent": null
    },
    "node_689": {
      "node_id": "node_689",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.71 kg\n  Factor of Safety: 1.36\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": 201.70980078279734,
      "fos_buckling": 1.3641719829393846,
      "fos_yielding": 4.835792682526292,
      "deflection": 0.011335375726181344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_688",
      "improvement_over_parent": null
    },
    "node_690": {
      "node_id": "node_690",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6695784934713,
      "fos_buckling": 1.530202389569512,
      "fos_yielding": 4.835858011377033,
      "deflection": 0.01122811762000595,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.499)"
      },
      "parent_node_id": "node_689",
      "improvement_over_parent": null
    },
    "node_691": {
      "node_id": "node_691",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_690",
      "improvement_over_parent": null
    },
    "node_692": {
      "node_id": "node_692",
      "content": "INITIAL DESIGN (Trace 97)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 151.87 kg\n  Factor of Safety: 0.20\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": 151.86542844124335,
      "fos_buckling": 0.2006625452289701,
      "fos_yielding": 3.7886416785496095,
      "deflection": 0.01473966108273359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_693": {
      "node_id": "node_693",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 170.91 kg\n  Factor of Safety: 0.22\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": 170.91119243607932,
      "fos_buckling": 0.22210674700941496,
      "fos_yielding": 4.261607695914625,
      "deflection": 0.013119198645615962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_692",
      "improvement_over_parent": null
    },
    "node_694": {
      "node_id": "node_694",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n  Mass: 181.02 kg\n  Factor of Safety: 1.38\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": 181.01803817151395,
      "fos_buckling": 1.384028431838634,
      "fos_yielding": 4.279877683862732,
      "deflection": 0.012652141335632541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005009)"
      },
      "parent_node_id": "node_693",
      "improvement_over_parent": null
    },
    "node_695": {
      "node_id": "node_695",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.57849224549054,
      "fos_buckling": 1.5296494340694766,
      "fos_yielding": 4.833874776430789,
      "deflection": 0.01123351777347168,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_694",
      "improvement_over_parent": null
    },
    "node_696": {
      "node_id": "node_696",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_695",
      "improvement_over_parent": null
    },
    "node_697": {
      "node_id": "node_697",
      "content": "INITIAL DESIGN (Trace 98)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 124.03 kg\n  Factor of Safety: 0.91\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": 124.02752532624004,
      "fos_buckling": 0.9092279433414315,
      "fos_yielding": 2.538196998805106,
      "deflection": 0.01857437365806787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_698": {
      "node_id": "node_698",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 139.68 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.6795222112486,
      "fos_buckling": 1.0133092564209543,
      "fos_yielding": 2.8602935222082255,
      "deflection": 0.01652909299589857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_697",
      "improvement_over_parent": null
    },
    "node_699": {
      "node_id": "node_699",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 178.01 kg\n  Factor of Safety: 1.26\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": 178.0097598267926,
      "fos_buckling": 1.258039616662219,
      "fos_yielding": 3.6512372810261664,
      "deflection": 0.01303908569820574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_698",
      "improvement_over_parent": null
    },
    "node_700": {
      "node_id": "node_700",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 179.74 kg\n  Factor of Safety: 1.26\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": 179.7401221496639,
      "fos_buckling": 1.2591872398894601,
      "fos_yielding": 3.6545680542835233,
      "deflection": 0.012682139225135655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.200)"
      },
      "parent_node_id": "node_699",
      "improvement_over_parent": null
    },
    "node_701": {
      "node_id": "node_701",
      "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 180.55 kg\n  Factor of Safety: 1.37\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": 180.55483703705755,
      "fos_buckling": 1.3673555288013455,
      "fos_yielding": 4.312611892711537,
      "deflection": 0.01262269987652445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.202)"
      },
      "parent_node_id": "node_700",
      "improvement_over_parent": null
    },
    "node_702": {
      "node_id": "node_702",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.76 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.75827478661733,
      "fos_buckling": 1.5034127554655485,
      "fos_yielding": 4.83952038551358,
      "deflection": 0.011277462128235681,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_701",
      "improvement_over_parent": null
    },
    "node_703": {
      "node_id": "node_703",
      "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.73255343384088,
      "fos_buckling": 1.530647372184354,
      "fos_yielding": 4.839531813778833,
      "deflection": 0.011225973644219954,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.182)"
      },
      "parent_node_id": "node_702",
      "improvement_over_parent": null
    },
    "node_704": {
      "node_id": "node_704",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_703",
      "improvement_over_parent": null
    },
    "node_705": {
      "node_id": "node_705",
      "content": "INITIAL DESIGN (Trace 99)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 176.35 kg\n  Factor of Safety: 1.02\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": 176.34974987253818,
      "fos_buckling": 1.0158621051200754,
      "fos_yielding": 4.900930905620773,
      "deflection": 0.014184314617370566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_706": {
      "node_id": "node_706",
      "content": "MODIFICATION: Increase 18 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.19 kg\n  Factor of Safety: 1.02\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": 184.18707972254674,
      "fos_buckling": 1.0151675806721958,
      "fos_yielding": 4.900693051131778,
      "deflection": 0.013709575522665158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.661)"
      },
      "parent_node_id": "node_705",
      "improvement_over_parent": null
    },
    "node_707": {
      "node_id": "node_707",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 192.80 kg\n  Factor of Safety: 0.93\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": 192.79756875562063,
      "fos_buckling": 0.9255067193226499,
      "fos_yielding": 4.556518528575233,
      "deflection": 0.013909476605780976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_706",
      "improvement_over_parent": null
    },
    "node_708": {
      "node_id": "node_708",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 193.51 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.5137005820943,
      "fos_buckling": 0.9721277832785161,
      "fos_yielding": 4.786046566893816,
      "deflection": 0.013346121939581694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_707",
      "improvement_over_parent": null
    },
    "node_709": {
      "node_id": "node_709",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 197.32 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.31726982618648,
      "fos_buckling": 0.9689993263969108,
      "fos_yielding": 4.770644332151192,
      "deflection": 0.013092221785731438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.401)"
      },
      "parent_node_id": "node_708",
      "improvement_over_parent": null
    },
    "node_710": {
      "node_id": "node_710",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 199.85 kg\n  Factor of Safety: 1.19\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": 199.84927408241794,
      "fos_buckling": 1.1948333470641213,
      "fos_yielding": 4.840847235846198,
      "deflection": 0.012190686902226047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.344)"
      },
      "parent_node_id": "node_709",
      "improvement_over_parent": null
    },
    "node_711": {
      "node_id": "node_711",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68648578113118,
      "fos_buckling": 1.5296277521787107,
      "fos_yielding": 4.836793523553599,
      "deflection": 0.011228058617878662,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.513)"
      },
      "parent_node_id": "node_710",
      "improvement_over_parent": null
    },
    "node_712": {
      "node_id": "node_712",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_711",
      "improvement_over_parent": null
    },
    "node_713": {
      "node_id": "node_713",
      "content": "INITIAL DESIGN (Trace 100)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 159.46 kg\n  Factor of Safety: 0.88\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": 159.4647490763925,
      "fos_buckling": 0.8788533281532529,
      "fos_yielding": 4.087594368401777,
      "deflection": 0.015138491555418979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_714": {
      "node_id": "node_714",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 162.34 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.33581317578884,
      "fos_buckling": 0.8790731931729647,
      "fos_yielding": 4.087307475802788,
      "deflection": 0.01477906220457589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.312)"
      },
      "parent_node_id": "node_713",
      "improvement_over_parent": null
    },
    "node_715": {
      "node_id": "node_715",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.64 kg\n  Factor of Safety: 1.02\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": 192.6384959310273,
      "fos_buckling": 1.0165545029143896,
      "fos_yielding": 4.846170527559017,
      "deflection": 0.012487304966775073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_714",
      "improvement_over_parent": null
    },
    "node_716": {
      "node_id": "node_716",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 195.75 kg\n  Factor of Safety: 1.02\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": 195.75387383074772,
      "fos_buckling": 1.0160016991396381,
      "fos_yielding": 4.845958269875665,
      "deflection": 0.010818737171593776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_715",
      "improvement_over_parent": null
    },
    "node_717": {
      "node_id": "node_717",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 196.16 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.16234483056576,
      "fos_buckling": 1.0160741454422753,
      "fos_yielding": 4.851427310427034,
      "deflection": 0.010819563565665357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.623)"
      },
      "parent_node_id": "node_716",
      "improvement_over_parent": null
    },
    "node_718": {
      "node_id": "node_718",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77283386363965,
      "fos_buckling": 1.530872172565727,
      "fos_yielding": 4.838717178803146,
      "deflection": 0.011223068260897527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_717",
      "improvement_over_parent": null
    },
    "node_719": {
      "node_id": "node_719",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_718",
      "improvement_over_parent": null
    },
    "node_720": {
      "node_id": "node_720",
      "content": "INITIAL DESIGN (Trace 101)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 134.19 kg\n  Factor of Safety: 0.83\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": 134.18700602456693,
      "fos_buckling": 0.8297604820029506,
      "fos_yielding": 3.507681943696647,
      "deflection": 0.0172049110704522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_721": {
      "node_id": "node_721",
      "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 135.28 kg\n  Factor of Safety: 0.83\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": 135.2774088485756,
      "fos_buckling": 0.8297604820029506,
      "fos_yielding": 3.507681943696647,
      "deflection": 0.0172049110704522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.441)"
      },
      "parent_node_id": "node_720",
      "improvement_over_parent": null
    },
    "node_722": {
      "node_id": "node_722",
      "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 137.12 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.11777983553912,
      "fos_buckling": 0.8297171558225894,
      "fos_yielding": 3.479855056625009,
      "deflection": 0.017095787564293495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.522)"
      },
      "parent_node_id": "node_721",
      "improvement_over_parent": null
    },
    "node_723": {
      "node_id": "node_723",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 152.30 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.30462168916605,
      "fos_buckling": 0.9078329478569248,
      "fos_yielding": 3.8636178275338304,
      "deflection": 0.015425665305560209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_722",
      "improvement_over_parent": null
    },
    "node_724": {
      "node_id": "node_724",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.73 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.73377029427678,
      "fos_buckling": 1.0934242407287489,
      "fos_yielding": 4.833231819339388,
      "deflection": 0.012387525269027104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_723",
      "improvement_over_parent": null
    },
    "node_725": {
      "node_id": "node_725",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61867716989838,
      "fos_buckling": 1.5299834112097914,
      "fos_yielding": 4.834532524453143,
      "deflection": 0.01123147410658953,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_724",
      "improvement_over_parent": null
    },
    "node_726": {
      "node_id": "node_726",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_725",
      "improvement_over_parent": null
    },
    "node_727": {
      "node_id": "node_727",
      "content": "INITIAL DESIGN (Trace 102)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 144.26 kg\n  Factor of Safety: 0.86\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": 144.26140862570918,
      "fos_buckling": 0.8635704052858354,
      "fos_yielding": 4.0259108645979085,
      "deflection": 0.015630955574642544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_728": {
      "node_id": "node_728",
      "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 146.60 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.6038699911664,
      "fos_buckling": 0.863746323070681,
      "fos_yielding": 4.062333338542769,
      "deflection": 0.0155240059849412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.314)"
      },
      "parent_node_id": "node_727",
      "improvement_over_parent": null
    },
    "node_729": {
      "node_id": "node_729",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n  Mass: 153.73 kg\n  Factor of Safety: 0.30\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": 153.732607431286,
      "fos_buckling": 0.3044736546157123,
      "fos_yielding": 4.061794615196406,
      "deflection": 0.01684032312553136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004048)"
      },
      "parent_node_id": "node_728",
      "improvement_over_parent": null
    },
    "node_730": {
      "node_id": "node_730",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 185.79 kg\n  Factor of Safety: 0.36\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": 185.7888892286099,
      "fos_buckling": 0.3555154867786029,
      "fos_yielding": 4.904663266949615,
      "deflection": 0.013996939710513029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_729",
      "improvement_over_parent": null
    },
    "node_731": {
      "node_id": "node_731",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 195.25 kg\n  Factor of Safety: 0.43\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": 195.2532037906647,
      "fos_buckling": 0.425915290317589,
      "fos_yielding": 4.904375682079181,
      "deflection": 0.012660099214505234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_730",
      "improvement_over_parent": null
    },
    "node_732": {
      "node_id": "node_732",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76886160766506,
      "fos_buckling": 1.530815126431691,
      "fos_yielding": 4.838578385059668,
      "deflection": 0.011222994959901979,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_731",
      "improvement_over_parent": null
    },
    "node_733": {
      "node_id": "node_733",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_732",
      "improvement_over_parent": null
    },
    "node_734": {
      "node_id": "node_734",
      "content": "INITIAL DESIGN (Trace 103)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 120.91 kg\n  Factor of Safety: 0.98\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": 120.91493777131569,
      "fos_buckling": 0.976873537558816,
      "fos_yielding": 2.8634761009790366,
      "deflection": 0.018774724820949554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_735": {
      "node_id": "node_735",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 151.17 kg\n  Factor of Safety: 1.19\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": 151.16543442948986,
      "fos_buckling": 1.1882374457812301,
      "fos_yielding": 3.5769559054207107,
      "deflection": 0.015084470017520859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_734",
      "improvement_over_parent": null
    },
    "node_736": {
      "node_id": "node_736",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 184.44 kg\n  Factor of Safety: 1.41\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": 184.43611268367658,
      "fos_buckling": 1.4056505494958478,
      "fos_yielding": 4.3603331150486735,
      "deflection": 0.01242362551266647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_735",
      "improvement_over_parent": null
    },
    "node_737": {
      "node_id": "node_737",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.57725158046165,
      "fos_buckling": 1.5296521268044334,
      "fos_yielding": 4.833889372932082,
      "deflection": 0.01123337871241379,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_736",
      "improvement_over_parent": null
    },
    "node_738": {
      "node_id": "node_738",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_737",
      "improvement_over_parent": null
    },
    "node_739": {
      "node_id": "node_739",
      "content": "INITIAL DESIGN (Trace 104)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 175.26 kg\n  Factor of Safety: 1.01\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": 175.26017285450922,
      "fos_buckling": 1.0077189638470738,
      "fos_yielding": 3.154353695456372,
      "deflection": 12733051782952.926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_740": {
      "node_id": "node_740",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n  Mass: 180.89 kg\n  Factor of Safety: 0.54\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": 180.88740424152112,
      "fos_buckling": 0.5374467426703515,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.016116928226914257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.002691)"
      },
      "parent_node_id": "node_739",
      "improvement_over_parent": null
    },
    "node_741": {
      "node_id": "node_741",
      "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0079)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n  Mass: 185.27 kg\n  Factor of Safety: 0.54\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": 185.26810291519442,
      "fos_buckling": 0.5368405488439014,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.016124064433918266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.595)"
      },
      "parent_node_id": "node_740",
      "improvement_over_parent": null
    },
    "node_742": {
      "node_id": "node_742",
      "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n  Mass: 188.73 kg\n  Factor of Safety: 0.54\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": 188.7297001631288,
      "fos_buckling": 0.5363625050986728,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.01613381971823259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.335)"
      },
      "parent_node_id": "node_741",
      "improvement_over_parent": null
    },
    "node_743": {
      "node_id": "node_743",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 198.25 kg\n  Factor of Safety: 1.03\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": 198.24535798012914,
      "fos_buckling": 1.0275923578410173,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.012189452125200236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_742",
      "improvement_over_parent": null
    },
    "node_744": {
      "node_id": "node_744",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 206.03 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.02700649238162,
      "fos_buckling": 1.0838883989097274,
      "fos_yielding": 4.823459618024992,
      "deflection": 0.011362143955813885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_743",
      "improvement_over_parent": null
    },
    "node_745": {
      "node_id": "node_745",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 206.74 kg\n  Factor of Safety: 1.19\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": 206.74313831885527,
      "fos_buckling": 1.19090121763836,
      "fos_yielding": 4.830070479878517,
      "deflection": 0.011170607272719004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_744",
      "improvement_over_parent": null
    },
    "node_746": {
      "node_id": "node_746",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_745",
      "improvement_over_parent": null
    },
    "node_747": {
      "node_id": "node_747",
      "content": "INITIAL DESIGN (Trace 105)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 148.29 kg\n  Factor of Safety: 0.81\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": 148.28606943361424,
      "fos_buckling": 0.8141166027747888,
      "fos_yielding": 3.7483114302180986,
      "deflection": 0.01439120070904561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_748": {
      "node_id": "node_748",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 192.27 kg\n  Factor of Safety: 1.02\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": 192.27103231137772,
      "fos_buckling": 1.0165376489601998,
      "fos_yielding": 4.852214293701889,
      "deflection": 0.011143963510751484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_747",
      "improvement_over_parent": null
    },
    "node_749": {
      "node_id": "node_749",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.34\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": 200.8815213444516,
      "fos_buckling": 1.3428540671738476,
      "fos_yielding": 4.839691403518449,
      "deflection": 0.011432361206455159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_748",
      "improvement_over_parent": null
    },
    "node_750": {
      "node_id": "node_750",
      "content": "MODIFICATION: Increase 20 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0062)]\n\nPerformance:\n  Mass: 202.83 kg\n  Factor of Safety: 1.34\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": 202.82670784481815,
      "fos_buckling": 1.3414027077007518,
      "fos_yielding": 4.838767399204634,
      "deflection": 0.011466996653327143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.255)"
      },
      "parent_node_id": "node_749",
      "improvement_over_parent": null
    },
    "node_751": {
      "node_id": "node_751",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_750",
      "improvement_over_parent": null
    },
    "node_752": {
      "node_id": "node_752",
      "content": "INITIAL DESIGN (Trace 106)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 133.90 kg\n  Factor of Safety: 0.16\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": 133.902241171248,
      "fos_buckling": 0.16038902332341654,
      "fos_yielding": 3.651859620940426,
      "deflection": 0.017749060770425422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_753": {
      "node_id": "node_753",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 136.39 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.38927178614364,
      "fos_buckling": 0.16028886165653342,
      "fos_yielding": 3.64957906370978,
      "deflection": 0.016937520950157717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.287)"
      },
      "parent_node_id": "node_752",
      "improvement_over_parent": null
    },
    "node_754": {
      "node_id": "node_754",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 138.81 kg\n  Factor of Safety: 0.16\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": 138.8073286123362,
      "fos_buckling": 0.1574354109067292,
      "fos_yielding": 3.5846095205475894,
      "deflection": 0.016801143846707882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.616)"
      },
      "parent_node_id": "node_753",
      "improvement_over_parent": null
    },
    "node_755": {
      "node_id": "node_755",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n  Mass: 146.30 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.3002857472935,
      "fos_buckling": 0.15733701801624253,
      "fos_yielding": 3.5823692361670854,
      "deflection": 0.015211802223922348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003264)"
      },
      "parent_node_id": "node_754",
      "improvement_over_parent": null
    },
    "node_756": {
      "node_id": "node_756",
      "content": "MODIFICATION: Increase 18 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0086)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n  Mass: 153.08 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.08259252105728,
      "fos_buckling": 0.15724806293045843,
      "fos_yielding": 3.5803438389228033,
      "deflection": 0.014511294591410007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.466)"
      },
      "parent_node_id": "node_755",
      "improvement_over_parent": null
    },
    "node_757": {
      "node_id": "node_757",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n  Mass: 197.31 kg\n  Factor of Safety: 0.20\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": 197.31281254908097,
      "fos_buckling": 0.19880941024645366,
      "fos_yielding": 4.651395260979397,
      "deflection": 0.011300129756515823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_756",
      "improvement_over_parent": null
    },
    "node_758": {
      "node_id": "node_758",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n  Mass: 197.53 kg\n  Factor of Safety: 0.25\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": 197.52922724860295,
      "fos_buckling": 0.24616965540796149,
      "fos_yielding": 4.81548324593623,
      "deflection": 0.011247032489523263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.475)"
      },
      "parent_node_id": "node_757",
      "improvement_over_parent": null
    },
    "node_759": {
      "node_id": "node_759",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 208.96 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.10e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 208.95642741464258,
      "fos_buckling": 1.5726006459846844,
      "fos_yielding": 4.835514562658594,
      "deflection": 0.011033197269113925,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_758",
      "improvement_over_parent": null
    },
    "node_760": {
      "node_id": "node_760",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_759",
      "improvement_over_parent": null
    },
    "node_761": {
      "node_id": "node_761",
      "content": "INITIAL DESIGN (Trace 107)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 187.45 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.83e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.44886997331446,
      "fos_buckling": 0.337387413589152,
      "fos_yielding": 2.0833452814782816,
      "deflection": 0.028291692754472148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_762": {
      "node_id": "node_762",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 199.94 kg\n  Factor of Safety: 1.32\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": 199.9366770503312,
      "fos_buckling": 1.321527385379974,
      "fos_yielding": 4.813339680893443,
      "deflection": 0.011440464770985086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_761",
      "improvement_over_parent": null
    },
    "node_763": {
      "node_id": "node_763",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.39 kg\n  Factor of Safety: 1.32\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": 201.3896353568172,
      "fos_buckling": 1.3213416482706717,
      "fos_yielding": 4.836659072977211,
      "deflection": 0.011351646685361873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.225)"
      },
      "parent_node_id": "node_762",
      "improvement_over_parent": null
    },
    "node_764": {
      "node_id": "node_764",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0091)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.33 kg\n  Factor of Safety: 1.32\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": 204.3294152476148,
      "fos_buckling": 1.3215553261000956,
      "fos_yielding": 5.697517937821911,
      "deflection": 0.011254770923306432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.590)"
      },
      "parent_node_id": "node_763",
      "improvement_over_parent": null
    },
    "node_765": {
      "node_id": "node_765",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_764",
      "improvement_over_parent": null
    },
    "node_766": {
      "node_id": "node_766",
      "content": "INITIAL DESIGN (Trace 108)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 125.74 kg\n  Factor of Safety: 0.95\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": 125.74284898091211,
      "fos_buckling": 0.9503373696649126,
      "fos_yielding": 2.985481431609571,
      "deflection": 0.01816099314986146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_767": {
      "node_id": "node_767",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 155.71 kg\n  Factor of Safety: 1.14\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": 155.70548532421444,
      "fos_buckling": 1.139406923821546,
      "fos_yielding": 3.693765590150989,
      "deflection": 0.014729764030457757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_766",
      "improvement_over_parent": null
    },
    "node_768": {
      "node_id": "node_768",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 157.97 kg\n  Factor of Safety: 1.23\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": 157.97057317708212,
      "fos_buckling": 1.2340073436009478,
      "fos_yielding": 3.7373319480818847,
      "deflection": 0.014449037434233473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.560)"
      },
      "parent_node_id": "node_767",
      "improvement_over_parent": null
    },
    "node_769": {
      "node_id": "node_769",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74435580373276,
      "fos_buckling": 1.5306812591479502,
      "fos_yielding": 4.837855391517725,
      "deflection": 0.011224478712918177,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_768",
      "improvement_over_parent": null
    },
    "node_770": {
      "node_id": "node_770",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_769",
      "improvement_over_parent": null
    },
    "node_771": {
      "node_id": "node_771",
      "content": "INITIAL DESIGN (Trace 109)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 107.79 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.79472710143114,
      "fos_buckling": 0.8296947258811341,
      "fos_yielding": 2.563496292603138,
      "deflection": 0.02081736752770958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_772": {
      "node_id": "node_772",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 125.27 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.27307490776616,
      "fos_buckling": 0.9452478985136675,
      "fos_yielding": 2.977491922952846,
      "deflection": 0.01796031165482518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 156.51 kg\n  Factor of Safety: 1.14\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": 156.50968632965828,
      "fos_buckling": 1.139146664844824,
      "fos_yielding": 3.7161867521363825,
      "deflection": 0.01444355759733329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_772",
      "improvement_over_parent": null
    },
    "node_774": {
      "node_id": "node_774",
      "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 157.94 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.94172616474435,
      "fos_buckling": 1.0816231625346684,
      "fos_yielding": 3.701424233170041,
      "deflection": 0.014308297412574462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.333)"
      },
      "parent_node_id": "node_773",
      "improvement_over_parent": null
    },
    "node_775": {
      "node_id": "node_775",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.41 kg\n  Factor of Safety: 1.32\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": 203.41342489907834,
      "fos_buckling": 1.3222931034847367,
      "fos_yielding": 4.760858956629066,
      "deflection": 0.01118556443123007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_774",
      "improvement_over_parent": null
    },
    "node_776": {
      "node_id": "node_776",
      "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.62 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.61823182463547,
      "fos_buckling": 1.3223247400562912,
      "fos_yielding": 4.760867772223273,
      "deflection": 0.011185765812818034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.439)"
      },
      "parent_node_id": "node_775",
      "improvement_over_parent": null
    },
    "node_777": {
      "node_id": "node_777",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7448796449221,
      "fos_buckling": 1.5306955006834018,
      "fos_yielding": 4.838033211788912,
      "deflection": 0.011224261066881782,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_776",
      "improvement_over_parent": null
    },
    "node_778": {
      "node_id": "node_778",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_777",
      "improvement_over_parent": null
    },
    "node_779": {
      "node_id": "node_779",
      "content": "INITIAL DESIGN (Trace 110)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 155.43 kg\n  Factor of Safety: 0.40\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": 155.43357837593126,
      "fos_buckling": 0.39796052016914696,
      "fos_yielding": 3.55551504298741,
      "deflection": 0.018770384583912256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_780": {
      "node_id": "node_780",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n  Mass: 166.19 kg\n  Factor of Safety: 0.60\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": 166.19398533517824,
      "fos_buckling": 0.6019965766720969,
      "fos_yielding": 4.078823984955752,
      "deflection": 0.015993225309904942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005078)"
      },
      "parent_node_id": "node_779",
      "improvement_over_parent": null
    },
    "node_781": {
      "node_id": "node_781",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 175.65 kg\n  Factor of Safety: 1.35\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": 175.645716340803,
      "fos_buckling": 1.3497272159067977,
      "fos_yielding": 4.153478858277544,
      "deflection": 0.013028673939648674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004759)"
      },
      "parent_node_id": "node_780",
      "improvement_over_parent": null
    },
    "node_782": {
      "node_id": "node_782",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7464667057599,
      "fos_buckling": 1.5306617180275799,
      "fos_yielding": 4.837848341093456,
      "deflection": 0.011224381309596932,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_781",
      "improvement_over_parent": null
    },
    "node_783": {
      "node_id": "node_783",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_782",
      "improvement_over_parent": null
    },
    "node_784": {
      "node_id": "node_784",
      "content": "INITIAL DESIGN (Trace 111)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 116.45 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.57e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.45005626031055,
      "fos_buckling": 0.46422716860317076,
      "fos_yielding": 3.378078132423029,
      "deflection": 15663614644098.078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_785": {
      "node_id": "node_785",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n  Mass: 123.64 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.28e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.63651516325932,
      "fos_buckling": 0.23626735945125774,
      "fos_yielding": 1.372312202132831,
      "deflection": 0.04282318386426793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003550)"
      },
      "parent_node_id": "node_784",
      "improvement_over_parent": null
    },
    "node_786": {
      "node_id": "node_786",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n\nPerformance:\n  Mass: 131.78 kg\n  Factor of Safety: 0.96\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": 131.78195732514635,
      "fos_buckling": 0.9580259927328001,
      "fos_yielding": 3.1611919918273,
      "deflection": 0.01717723903120821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004082)"
      },
      "parent_node_id": "node_785",
      "improvement_over_parent": null
    },
    "node_787": {
      "node_id": "node_787",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n  Mass: 171.25 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.253248833682,
      "fos_buckling": 1.2147519838538865,
      "fos_yielding": 4.102875911141822,
      "deflection": 0.013295496390814588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_786",
      "improvement_over_parent": null
    },
    "node_788": {
      "node_id": "node_788",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 202.16 kg\n  Factor of Safety: 1.41\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": 202.1550455649125,
      "fos_buckling": 1.4060439329812784,
      "fos_yielding": 4.838415428059548,
      "deflection": 0.011314451383524755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_787",
      "improvement_over_parent": null
    },
    "node_789": {
      "node_id": "node_789",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0081)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.28 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.27648340696794,
      "fos_buckling": 1.4062245157732849,
      "fos_yielding": 5.656756522550344,
      "deflection": 0.011237550132107815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.418)"
      },
      "parent_node_id": "node_788",
      "improvement_over_parent": null
    },
    "node_790": {
      "node_id": "node_790",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_789",
      "improvement_over_parent": null
    },
    "node_791": {
      "node_id": "node_791",
      "content": "INITIAL DESIGN (Trace 112)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 106.04 kg\n  Factor of Safety: 0.21\n  Max Deflection: 2.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.04066399918557,
      "fos_buckling": 0.20863969972929414,
      "fos_yielding": 2.466995706775343,
      "deflection": 0.02503151144215802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_792": {
      "node_id": "node_792",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 124.12 kg\n  Factor of Safety: 0.24\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.12426290827736,
      "fos_buckling": 0.24106640785946487,
      "fos_yielding": 2.884547666891824,
      "deflection": 0.02143701477982191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_791",
      "improvement_over_parent": null
    },
    "node_793": {
      "node_id": "node_793",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 126.48 kg\n  Factor of Safety: 0.24\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": 126.47791050648021,
      "fos_buckling": 0.24082895899620388,
      "fos_yielding": 2.8839900375227097,
      "deflection": 0.020679749931808104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.422)"
      },
      "parent_node_id": "node_792",
      "improvement_over_parent": null
    },
    "node_794": {
      "node_id": "node_794",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 127.59 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.59263406257196,
      "fos_buckling": 0.33307633039678336,
      "fos_yielding": 2.8836204138428885,
      "deflection": 0.019728481174657198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.460)"
      },
      "parent_node_id": "node_793",
      "improvement_over_parent": null
    },
    "node_795": {
      "node_id": "node_795",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 144.48 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.47716497063104,
      "fos_buckling": 0.36982580569357776,
      "fos_yielding": 3.2624178947692553,
      "deflection": 0.01747138299303309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_794",
      "improvement_over_parent": null
    },
    "node_796": {
      "node_id": "node_796",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 183.57 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.56518212358372,
      "fos_buckling": 0.4485970044201921,
      "fos_yielding": 4.13685664465087,
      "deflection": 0.013839428126282449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_795",
      "improvement_over_parent": null
    },
    "node_797": {
      "node_id": "node_797",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 192.18 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.17567115665761,
      "fos_buckling": 0.4476414288309918,
      "fos_yielding": 4.135107183357299,
      "deflection": 0.014356246911526219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_796",
      "improvement_over_parent": null
    },
    "node_798": {
      "node_id": "node_798",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7146634966269,
      "fos_buckling": 1.5304963325350276,
      "fos_yielding": 4.83718650666848,
      "deflection": 0.011225844070985253,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_797",
      "improvement_over_parent": null
    },
    "node_799": {
      "node_id": "node_799",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_798",
      "improvement_over_parent": null
    },
    "node_800": {
      "node_id": "node_800",
      "content": "INITIAL DESIGN (Trace 113)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 149.94 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.70e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.9431838938278,
      "fos_buckling": 0.1897896067117407,
      "fos_yielding": 0.7597818768472371,
      "deflection": 0.056967803406036535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_801": {
      "node_id": "node_801",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 173.17 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.95e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.1708121847452,
      "fos_buckling": 0.21547101563457477,
      "fos_yielding": 0.8752126478040122,
      "deflection": 0.04945445113359452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_800",
      "improvement_over_parent": null
    },
    "node_802": {
      "node_id": "node_802",
      "content": "MODIFICATION: Increase 15 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 175.39 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.38987713685697,
      "fos_buckling": 0.2772407162129453,
      "fos_yielding": 0.8749389819178938,
      "deflection": 0.04705760179571925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.381)"
      },
      "parent_node_id": "node_801",
      "improvement_over_parent": null
    },
    "node_803": {
      "node_id": "node_803",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 186.41 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.91e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.40553401274394,
      "fos_buckling": 0.2764740069432042,
      "fos_yielding": 1.3910053472118304,
      "deflection": 0.03912742262249306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_802",
      "improvement_over_parent": null
    },
    "node_804": {
      "node_id": "node_804",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.59008802764535,
      "fos_buckling": 0.8988244225376746,
      "fos_yielding": 4.85331483608537,
      "deflection": 0.012402686044723563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_803",
      "improvement_over_parent": null
    },
    "node_805": {
      "node_id": "node_805",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70546592736576,
      "fos_buckling": 1.5304440152675158,
      "fos_yielding": 4.8369569649570385,
      "deflection": 0.011226575808281692,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_804",
      "improvement_over_parent": null
    },
    "node_806": {
      "node_id": "node_806",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_805",
      "improvement_over_parent": null
    },
    "node_807": {
      "node_id": "node_807",
      "content": "INITIAL DESIGN (Trace 114)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 147.13 kg\n  Factor of Safety: 0.23\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": 147.13127420657722,
      "fos_buckling": 0.23114190057662992,
      "fos_yielding": 1.1136161672847176,
      "deflection": 0.04849842311760154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_808": {
      "node_id": "node_808",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 149.52 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.51750018410664,
      "fos_buckling": 0.231002645773143,
      "fos_yielding": 1.12054224980645,
      "deflection": 0.04851146108218016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.488)"
      },
      "parent_node_id": "node_807",
      "improvement_over_parent": null
    },
    "node_809": {
      "node_id": "node_809",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 152.02 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.01577197542008,
      "fos_buckling": 0.23090554946184402,
      "fos_yielding": 1.120064532246436,
      "deflection": 0.041899587816428246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003278)"
      },
      "parent_node_id": "node_808",
      "improvement_over_parent": null
    },
    "node_810": {
      "node_id": "node_810",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 189.54 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.53763278778143,
      "fos_buckling": 0.27637861738734476,
      "fos_yielding": 1.3903610023088546,
      "deflection": 0.03376560558315563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_809",
      "improvement_over_parent": null
    },
    "node_811": {
      "node_id": "node_811",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72218680268284,
      "fos_buckling": 1.530505119691053,
      "fos_yielding": 4.837250801093896,
      "deflection": 0.01122599621025092,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_810",
      "improvement_over_parent": null
    },
    "node_812": {
      "node_id": "node_812",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_811",
      "improvement_over_parent": null
    },
    "node_813": {
      "node_id": "node_813",
      "content": "INITIAL DESIGN (Trace 115)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 146.68 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.67689117065876,
      "fos_buckling": 0.701687331730608,
      "fos_yielding": 3.6394098942945585,
      "deflection": 0.01693693002391797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_814": {
      "node_id": "node_814",
      "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 148.19 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.19086911266683,
      "fos_buckling": 0.7022329713904666,
      "fos_yielding": 3.6116124958723375,
      "deflection": 0.01688485284259973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.664)"
      },
      "parent_node_id": "node_813",
      "improvement_over_parent": null
    },
    "node_815": {
      "node_id": "node_815",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 178.26 kg\n  Factor of Safety: 0.82\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": 178.2594558933255,
      "fos_buckling": 0.8236324535812226,
      "fos_yielding": 4.3402746504947185,
      "deflection": 0.014072236726044992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_814",
      "improvement_over_parent": null
    },
    "node_816": {
      "node_id": "node_816",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.39 kg\n  Factor of Safety: 0.82\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": 180.39252822428622,
      "fos_buckling": 0.818823880918487,
      "fos_yielding": 4.345562472095968,
      "deflection": 0.013834622287373007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.256)"
      },
      "parent_node_id": "node_815",
      "improvement_over_parent": null
    },
    "node_817": {
      "node_id": "node_817",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.73 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.73189189010134,
      "fos_buckling": 0.8993617662092414,
      "fos_yielding": 4.856801182956331,
      "deflection": 0.012394043845153578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_816",
      "improvement_over_parent": null
    },
    "node_818": {
      "node_id": "node_818",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84726978982175,
      "fos_buckling": 1.5312687593133012,
      "fos_yielding": 4.840434756385811,
      "deflection": 0.011218922712157835,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_817",
      "improvement_over_parent": null
    },
    "node_819": {
      "node_id": "node_819",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_818",
      "improvement_over_parent": null
    },
    "node_820": {
      "node_id": "node_820",
      "content": "INITIAL DESIGN (Trace 116)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 147.59 kg\n  Factor of Safety: 0.82\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": 147.5870001843151,
      "fos_buckling": 0.820803766516163,
      "fos_yielding": 3.724126366877416,
      "deflection": 0.014090665634057913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_821": {
      "node_id": "node_821",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.24 kg\n  Factor of Safety: 1.01\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": 189.23695933444222,
      "fos_buckling": 1.0145721503134995,
      "fos_yielding": 4.767326399925378,
      "deflection": 0.011035604688076706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_820",
      "improvement_over_parent": null
    },
    "node_822": {
      "node_id": "node_822",
      "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.61 kg\n  Factor of Safety: 1.01\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": 191.61419011029182,
      "fos_buckling": 1.0143618581989713,
      "fos_yielding": 4.7672432836662795,
      "deflection": 0.010942961366339047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.227)"
      },
      "parent_node_id": "node_821",
      "improvement_over_parent": null
    },
    "node_823": {
      "node_id": "node_823",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 200.22 kg\n  Factor of Safety: 1.21\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": 200.2246791433657,
      "fos_buckling": 1.2083722274204323,
      "fos_yielding": 4.7237076537124665,
      "deflection": 0.011425712982386666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_822",
      "improvement_over_parent": null
    },
    "node_824": {
      "node_id": "node_824",
      "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 203.50 kg\n  Factor of Safety: 1.32\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": 203.49696192060352,
      "fos_buckling": 1.3214137667195105,
      "fos_yielding": 4.7579136417180345,
      "deflection": 0.01119238843073073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.464)"
      },
      "parent_node_id": "node_823",
      "improvement_over_parent": null
    },
    "node_825": {
      "node_id": "node_825",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.62360974089015,
      "fos_buckling": 1.5299146243991524,
      "fos_yielding": 4.835050215176389,
      "deflection": 0.011231040428652844,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_824",
      "improvement_over_parent": null
    },
    "node_826": {
      "node_id": "node_826",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_825",
      "improvement_over_parent": null
    },
    "node_827": {
      "node_id": "node_827",
      "content": "INITIAL DESIGN (Trace 117)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 156.69 kg\n  Factor of Safety: 0.18\n  Max Deflection: 4.26e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.69433253465806,
      "fos_buckling": 0.1795868262798306,
      "fos_yielding": 1.264981641346366,
      "deflection": 42602854731482.555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_828": {
      "node_id": "node_828",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 157.71 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.74e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.70651870421003,
      "fos_buckling": 0.2561450717737164,
      "fos_yielding": 2.7186342427987733,
      "deflection": 17403805062447.586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002229)"
      },
      "parent_node_id": "node_827",
      "improvement_over_parent": null
    },
    "node_829": {
      "node_id": "node_829",
      "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 160.14 kg\n  Factor of Safety: 0.17\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": 160.13872319736814,
      "fos_buckling": 0.17446539517236795,
      "fos_yielding": 0.9860844127543579,
      "deflection": 28220665465591.477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.502)"
      },
      "parent_node_id": "node_828",
      "improvement_over_parent": null
    },
    "node_830": {
      "node_id": "node_830",
      "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 162.73 kg\n  Factor of Safety: 0.22\n  Max Deflection: 2.09e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.7338373787218,
      "fos_buckling": 0.21808174396545993,
      "fos_yielding": 2.187149162228339,
      "deflection": 20919547581994.13,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.277)"
      },
      "parent_node_id": "node_829",
      "improvement_over_parent": null
    },
    "node_831": {
      "node_id": "node_831",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 181.13 kg\n  Factor of Safety: 0.01\n  Max Deflection: 9.36e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.12746400185424,
      "fos_buckling": 0.009992816531697571,
      "fos_yielding": 0.24652110318858947,
      "deflection": 93586051314732.14,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_830",
      "improvement_over_parent": null
    },
    "node_832": {
      "node_id": "node_832",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 184.65 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.10e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.65378881468894,
      "fos_buckling": 0.039971266126790285,
      "fos_yielding": 0.9860844127543579,
      "deflection": 20983390088710.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.332)"
      },
      "parent_node_id": "node_831",
      "improvement_over_parent": null
    },
    "node_833": {
      "node_id": "node_833",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 196.08 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.08098898072856,
      "fos_buckling": 1.0157165471058716,
      "fos_yielding": 4.849123693927241,
      "deflection": 0.01082403832824618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_832",
      "improvement_over_parent": null
    },
    "node_834": {
      "node_id": "node_834",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69147801380245,
      "fos_buckling": 1.5302332997041121,
      "fos_yielding": 4.836410499711227,
      "deflection": 0.011227420212741963,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_833",
      "improvement_over_parent": null
    },
    "node_835": {
      "node_id": "node_835",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 118)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 116.83 kg\n  Factor of Safety: 0.22\n  Max Deflection: 6.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.83372642824817,
      "fos_buckling": 0.22016586440018285,
      "fos_yielding": 0.6640446779201393,
      "deflection": 0.06313747499458892,
      "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 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 128.29 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.28559839407774,
      "fos_buckling": 0.5410063918510513,
      "fos_yielding": 3.5879142421921304,
      "deflection": 0.021137803407637202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005253)"
      },
      "parent_node_id": "node_836",
      "improvement_over_parent": null
    },
    "node_838": {
      "node_id": "node_838",
      "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 132.15 kg\n  Factor of Safety: 0.54\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.14529681303893,
      "fos_buckling": 0.5404737114765235,
      "fos_yielding": 3.587555208277314,
      "deflection": 0.020371662632137185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.502)"
      },
      "parent_node_id": "node_837",
      "improvement_over_parent": null
    },
    "node_839": {
      "node_id": "node_839",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 142.62 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.6180507252808,
      "fos_buckling": 0.5399928294280413,
      "fos_yielding": 3.5872305406547698,
      "deflection": 0.01849610147346669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004651)"
      },
      "parent_node_id": "node_838",
      "improvement_over_parent": null
    },
    "node_840": {
      "node_id": "node_840",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n\nPerformance:\n  Mass: 150.93 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.92528981509165,
      "fos_buckling": 1.0239013118541014,
      "fos_yielding": 3.653082926390685,
      "deflection": 0.015116040280580455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004142)"
      },
      "parent_node_id": "node_839",
      "improvement_over_parent": null
    },
    "node_841": {
      "node_id": "node_841",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n  Mass: 178.24 kg\n  Factor of Safety: 1.19\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": 178.23881921865657,
      "fos_buckling": 1.1872902849634472,
      "fos_yielding": 4.309879417168055,
      "deflection": 0.012850103252287503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_840",
      "improvement_over_parent": null
    },
    "node_842": {
      "node_id": "node_842",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 200.18 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.1806747485838,
      "fos_buckling": 1.3136680320600422,
      "fos_yielding": 4.8365043739488005,
      "deflection": 0.011477680942802838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_841",
      "improvement_over_parent": null
    },
    "node_843": {
      "node_id": "node_843",
      "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n\nPerformance:\n  Mass: 203.09 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.09425035615112,
      "fos_buckling": 1.313778876921947,
      "fos_yielding": 4.840437148440265,
      "deflection": 0.011360473787916199,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.300)"
      },
      "parent_node_id": "node_842",
      "improvement_over_parent": null
    },
    "node_844": {
      "node_id": "node_844",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 119)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 119.08 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.00e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.07583162065602,
      "fos_buckling": 0.3216497254577771,
      "fos_yielding": 2.2617561003506483,
      "deflection": 20016339816959.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_846": {
      "node_id": "node_846",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 139.35 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.14e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.35275595103948,
      "fos_buckling": 0.3087480202679172,
      "fos_yielding": 1.9721688255087158,
      "deflection": 21421645738997.13,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_845",
      "improvement_over_parent": null
    },
    "node_847": {
      "node_id": "node_847",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n  Mass: 143.36 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.358408088031,
      "fos_buckling": 0.3566207853062696,
      "fos_yielding": 2.3348303970098896,
      "deflection": 0.01974381228796027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003108)"
      },
      "parent_node_id": "node_846",
      "improvement_over_parent": null
    },
    "node_848": {
      "node_id": "node_848",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n  Mass: 152.82 kg\n  Factor of Safety: 0.98\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": 152.82058163653863,
      "fos_buckling": 0.9804182790502087,
      "fos_yielding": 2.7560853408111683,
      "deflection": 0.015040278238406401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004422)"
      },
      "parent_node_id": "node_847",
      "improvement_over_parent": null
    },
    "node_849": {
      "node_id": "node_849",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n  Mass: 153.10 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.1008863447678,
      "fos_buckling": 0.9816133265476583,
      "fos_yielding": 2.759444777247303,
      "deflection": 0.015056235510790635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.362)"
      },
      "parent_node_id": "node_848",
      "improvement_over_parent": null
    },
    "node_850": {
      "node_id": "node_850",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0030)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n  Mass: 182.85 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.8530665845149,
      "fos_buckling": 1.1537502156799895,
      "fos_yielding": 3.30525942065645,
      "deflection": 0.0126591178165614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_849",
      "improvement_over_parent": null
    },
    "node_851": {
      "node_id": "node_851",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0034)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 202.99 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.99149971610402,
      "fos_buckling": 1.2667744605956783,
      "fos_yielding": 3.676924283888378,
      "deflection": 0.011435321585050706,
      "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0034)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 203.71 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.70763154257767,
      "fos_buckling": 1.265898884968562,
      "fos_yielding": 3.674382848624352,
      "deflection": 0.01131905894311081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_851",
      "improvement_over_parent": null
    },
    "node_853": {
      "node_id": "node_853",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_852",
      "improvement_over_parent": null
    },
    "node_854": {
      "node_id": "node_854",
      "content": "INITIAL DESIGN (Trace 120)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 160.80 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.797182489287,
      "fos_buckling": 0.44345653072637237,
      "fos_yielding": 3.041079453785932,
      "deflection": 0.020777252610406045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_855": {
      "node_id": "node_855",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 161.58 kg\n  Factor of Safety: 0.44\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": 161.5800784615893,
      "fos_buckling": 0.4434565307263721,
      "fos_yielding": 3.0410794537859314,
      "deflection": 0.020747879897105973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.193)"
      },
      "parent_node_id": "node_854",
      "improvement_over_parent": null
    },
    "node_856": {
      "node_id": "node_856",
      "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 163.34 kg\n  Factor of Safety: 0.44\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": 163.3379321314844,
      "fos_buckling": 0.4433903312392323,
      "fos_yielding": 3.04083537275265,
      "deflection": 0.02071955786979632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.284)"
      },
      "parent_node_id": "node_855",
      "improvement_over_parent": null
    },
    "node_857": {
      "node_id": "node_857",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.56 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.55687822239958,
      "fos_buckling": 0.48771257491939646,
      "fos_yielding": 3.413336352818728,
      "deflection": 0.018472934554251478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_856",
      "improvement_over_parent": null
    },
    "node_858": {
      "node_id": "node_858",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.40508971137808,
      "fos_buckling": 1.530567325882794,
      "fos_yielding": 4.8306434196605075,
      "deflection": 0.011223209021091753,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_857",
      "improvement_over_parent": null
    },
    "node_859": {
      "node_id": "node_859",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69887229539052,
      "fos_buckling": 1.5304434978941661,
      "fos_yielding": 4.836993357707381,
      "deflection": 0.011227027875983335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.387)"
      },
      "parent_node_id": "node_858",
      "improvement_over_parent": null
    },
    "node_860": {
      "node_id": "node_860",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 121)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.80 kg\n  Factor of Safety: 1.09\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": 177.795581885463,
      "fos_buckling": 1.094433393619753,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.013324636725392835,
      "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: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.12 kg\n  Factor of Safety: 1.09\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": 179.11939023872722,
      "fos_buckling": 1.094433393619753,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.013324636725392835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.377)"
      },
      "parent_node_id": "node_861",
      "improvement_over_parent": null
    },
    "node_863": {
      "node_id": "node_863",
      "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 183.04 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.03773349483427,
      "fos_buckling": 1.0940699932667117,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.013064612895051628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.605)"
      },
      "parent_node_id": "node_862",
      "improvement_over_parent": null
    },
    "node_864": {
      "node_id": "node_864",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 196.92 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.92264037045587,
      "fos_buckling": 1.1541474534042837,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.011864272088240205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_863",
      "improvement_over_parent": null
    },
    "node_865": {
      "node_id": "node_865",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70428888270834,
      "fos_buckling": 1.5303643349311378,
      "fos_yielding": 4.836791030029354,
      "deflection": 0.011226648429314054,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_864",
      "improvement_over_parent": null
    },
    "node_866": {
      "node_id": "node_866",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 122)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 176.73 kg\n  Factor of Safety: 0.34\n  Max Deflection: 4.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.7251904720949,
      "fos_buckling": 0.3377509298989394,
      "fos_yielding": 2.0311286384131675,
      "deflection": 0.04408626755581473,
      "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 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 177.44 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.44132229856856,
      "fos_buckling": 0.3376699628773846,
      "fos_yielding": 2.030644876010532,
      "deflection": 0.031106815182690036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_867",
      "improvement_over_parent": null
    },
    "node_869": {
      "node_id": "node_869",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 182.75 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.74936777556306,
      "fos_buckling": 0.33752003139614334,
      "fos_yielding": 2.156133998346713,
      "deflection": 0.029132646098772606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_868",
      "improvement_over_parent": null
    },
    "node_870": {
      "node_id": "node_870",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 1.09\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": 195.2371748525798,
      "fos_buckling": 1.093420414349792,
      "fos_yielding": 4.835319474593452,
      "deflection": 0.012386895554724723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_869",
      "improvement_over_parent": null
    },
    "node_871": {
      "node_id": "node_871",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70148941463464,
      "fos_buckling": 1.5304016791300732,
      "fos_yielding": 4.836785585118078,
      "deflection": 0.011226779687276494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_870",
      "improvement_over_parent": null
    },
    "node_872": {
      "node_id": "node_872",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_871",
      "improvement_over_parent": null
    },
    "node_873": {
      "node_id": "node_873",
      "content": "INITIAL DESIGN (Trace 123)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 147.75 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.75209744540768,
      "fos_buckling": 0.908261926645193,
      "fos_yielding": 3.8652254702767257,
      "deflection": 0.016514248437946473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_874": {
      "node_id": "node_874",
      "content": "MODIFICATION: Increase 17 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 149.43 kg\n  Factor of Safety: 0.91\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": 149.42722991712748,
      "fos_buckling": 0.9080463221625334,
      "fos_yielding": 3.864240049773488,
      "deflection": 0.016579483527099533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.346)"
      },
      "parent_node_id": "node_873",
      "improvement_over_parent": null
    },
    "node_875": {
      "node_id": "node_875",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 152.50 kg\n  Factor of Safety: 0.91\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": 152.50061307532812,
      "fos_buckling": 0.9078090974071974,
      "fos_yielding": 3.855608396422142,
      "deflection": 0.01578918208328461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.513)"
      },
      "parent_node_id": "node_874",
      "improvement_over_parent": null
    },
    "node_876": {
      "node_id": "node_876",
      "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 155.83 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.8279210179745,
      "fos_buckling": 0.9075524126917166,
      "fos_yielding": 3.8635056700763712,
      "deflection": 0.015430774101338349,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.653)"
      },
      "parent_node_id": "node_875",
      "improvement_over_parent": null
    },
    "node_877": {
      "node_id": "node_877",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.15 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.14620979938755,
      "fos_buckling": 1.0930057542133909,
      "fos_yielding": 4.833059244686423,
      "deflection": 0.01239258271638823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_876",
      "improvement_over_parent": null
    },
    "node_878": {
      "node_id": "node_878",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61052436144237,
      "fos_buckling": 1.5298865292920505,
      "fos_yielding": 4.834525177374849,
      "deflection": 0.01123180665784126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_877",
      "improvement_over_parent": null
    },
    "node_879": {
      "node_id": "node_879",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_878",
      "improvement_over_parent": null
    },
    "node_880": {
      "node_id": "node_880",
      "content": "INITIAL DESIGN (Trace 124)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 112.86 kg\n  Factor of Safety: 0.92\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": 112.86366157085034,
      "fos_buckling": 0.9189796467325239,
      "fos_yielding": 2.675861204499552,
      "deflection": 0.020096771056337927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_881": {
      "node_id": "node_881",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 146.57 kg\n  Factor of Safety: 1.16\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": 146.5735798789561,
      "fos_buckling": 1.1576767143187205,
      "fos_yielding": 3.4718996587419504,
      "deflection": 0.015551354288444128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_880",
      "improvement_over_parent": null
    },
    "node_882": {
      "node_id": "node_882",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 167.81 kg\n  Factor of Safety: 1.30\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": 167.8091175118844,
      "fos_buckling": 1.2997012552353888,
      "fos_yielding": 3.9726137523343765,
      "deflection": 0.013625524456366122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_881",
      "improvement_over_parent": null
    },
    "node_883": {
      "node_id": "node_883",
      "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 167.95 kg\n  Factor of Safety: 1.30\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": 167.94631697560357,
      "fos_buckling": 1.2998594666355865,
      "fos_yielding": 3.972248054449382,
      "deflection": 0.013610638579594998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.328)"
      },
      "parent_node_id": "node_882",
      "improvement_over_parent": null
    },
    "node_884": {
      "node_id": "node_884",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80351814740567,
      "fos_buckling": 1.5310131443595256,
      "fos_yielding": 4.839208771616962,
      "deflection": 0.011221337922237423,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_883",
      "improvement_over_parent": null
    },
    "node_885": {
      "node_id": "node_885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_884",
      "improvement_over_parent": null
    },
    "node_886": {
      "node_id": "node_886",
      "content": "INITIAL DESIGN (Trace 125)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.20 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.19861137430752,
      "fos_buckling": 1.1083170282208734,
      "fos_yielding": 3.997777884727017,
      "deflection": 0.013742016602390703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_887": {
      "node_id": "node_887",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 167.97 kg\n  Factor of Safety: 1.30\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": 167.96520236290365,
      "fos_buckling": 1.2953238930562787,
      "fos_yielding": 3.9978598932966563,
      "deflection": 0.013587345294305051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.592)"
      },
      "parent_node_id": "node_886",
      "improvement_over_parent": null
    },
    "node_888": {
      "node_id": "node_888",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 168.62 kg\n  Factor of Safety: 1.30\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": 168.61500726631817,
      "fos_buckling": 1.304208925613478,
      "fos_yielding": 3.988011214288677,
      "deflection": 0.013557943855037613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.188)"
      },
      "parent_node_id": "node_887",
      "improvement_over_parent": null
    },
    "node_889": {
      "node_id": "node_889",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69859908889927,
      "fos_buckling": 1.5303640991754985,
      "fos_yielding": 4.83676558698584,
      "deflection": 0.011226883644496307,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_888",
      "improvement_over_parent": null
    },
    "node_890": {
      "node_id": "node_890",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 126)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 139.59 kg\n  Factor of Safety: 0.60\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": 139.5856786354251,
      "fos_buckling": 0.6035175447361024,
      "fos_yielding": 3.432062834687187,
      "deflection": 0.018084712765478725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_892": {
      "node_id": "node_892",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n\nPerformance:\n  Mass: 146.73 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.72919263131124,
      "fos_buckling": 0.925745011203479,
      "fos_yielding": 3.608349669013996,
      "deflection": 0.015334329048733924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004151)"
      },
      "parent_node_id": "node_891",
      "improvement_over_parent": null
    },
    "node_893": {
      "node_id": "node_893",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n  Mass: 147.58 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.5794226139062,
      "fos_buckling": 0.924073828655794,
      "fos_yielding": 3.6618581215131187,
      "deflection": 0.015522996014860548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001847)"
      },
      "parent_node_id": "node_892",
      "improvement_over_parent": null
    },
    "node_894": {
      "node_id": "node_894",
      "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n\nPerformance:\n  Mass: 147.99 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.98565381720502,
      "fos_buckling": 0.9239366748670284,
      "fos_yielding": 3.6657668066072393,
      "deflection": 0.015537687447114241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.531)"
      },
      "parent_node_id": "node_893",
      "improvement_over_parent": null
    },
    "node_895": {
      "node_id": "node_895",
      "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n\nPerformance:\n  Mass: 150.34 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.33816622183295,
      "fos_buckling": 1.0562694352911102,
      "fos_yielding": 3.665421269323565,
      "deflection": 0.015221045885290137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.236)"
      },
      "parent_node_id": "node_894",
      "improvement_over_parent": null
    },
    "node_896": {
      "node_id": "node_896",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 150.88 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.8787403494004,
      "fos_buckling": 1.0580796153666745,
      "fos_yielding": 3.6619542809625525,
      "deflection": 0.014994024841872056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001473)"
      },
      "parent_node_id": "node_895",
      "improvement_over_parent": null
    },
    "node_897": {
      "node_id": "node_897",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0032)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 169.07 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.07041877989639,
      "fos_buckling": 1.170327413375836,
      "fos_yielding": 4.100701473054451,
      "deflection": 0.013416708535216842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_896",
      "improvement_over_parent": null
    },
    "node_898": {
      "node_id": "node_898",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 199.92 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.91682807889146,
      "fos_buckling": 1.3531183995906984,
      "fos_yielding": 4.843220628324694,
      "deflection": 0.011398236164610706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_897",
      "improvement_over_parent": null
    },
    "node_899": {
      "node_id": "node_899",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_898",
      "improvement_over_parent": null
    },
    "node_900": {
      "node_id": "node_900",
      "content": "INITIAL DESIGN (Trace 127)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 174.97 kg\n  Factor of Safety: 1.12\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": 174.974199409417,
      "fos_buckling": 1.1225640610161123,
      "fos_yielding": 4.274434142295424,
      "deflection": 0.013564266428461097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_901": {
      "node_id": "node_901",
      "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 178.80 kg\n  Factor of Safety: 1.34\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": 178.80041394950027,
      "fos_buckling": 1.3426934484781734,
      "fos_yielding": 4.2716554556234945,
      "deflection": 0.012624380443634219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.433)"
      },
      "parent_node_id": "node_900",
      "improvement_over_parent": null
    },
    "node_902": {
      "node_id": "node_902",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.74 kg\n  Factor of Safety: 1.49\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": 202.7415979351121,
      "fos_buckling": 1.4934742874402112,
      "fos_yielding": 4.840009056806916,
      "deflection": 0.01117427413631732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_901",
      "improvement_over_parent": null
    },
    "node_903": {
      "node_id": "node_903",
      "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77890415005874,
      "fos_buckling": 1.530898839133554,
      "fos_yielding": 4.83874319189315,
      "deflection": 0.01122296632177419,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.340)"
      },
      "parent_node_id": "node_902",
      "improvement_over_parent": null
    },
    "node_904": {
      "node_id": "node_904",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 128)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 159.44 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.43557920143206,
      "fos_buckling": 0.26133644960640967,
      "fos_yielding": 4.335481508869694,
      "deflection": 0.01608222659257882,
      "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 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 161.46 kg\n  Factor of Safety: 0.26\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": 161.46362124435348,
      "fos_buckling": 0.26138407890748644,
      "fos_yielding": 4.374154093462588,
      "deflection": 0.015884875229046854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.393)"
      },
      "parent_node_id": "node_905",
      "improvement_over_parent": null
    },
    "node_907": {
      "node_id": "node_907",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n  Mass: 169.95 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.9477948994918,
      "fos_buckling": 0.9961844505715731,
      "fos_yielding": 4.314363101257247,
      "deflection": 0.013849132057729047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004611)"
      },
      "parent_node_id": "node_906",
      "improvement_over_parent": null
    },
    "node_908": {
      "node_id": "node_908",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 190.67 kg\n  Factor of Safety: 1.09\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": 190.67337804380904,
      "fos_buckling": 1.094208654310233,
      "fos_yielding": 4.837629078783525,
      "deflection": 0.012381391145744798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_907",
      "improvement_over_parent": null
    },
    "node_909": {
      "node_id": "node_909",
      "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 190.89 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.8927647483603,
      "fos_buckling": 1.0941815371270265,
      "fos_yielding": 4.837427064601638,
      "deflection": 0.012377184486015344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.484)"
      },
      "parent_node_id": "node_908",
      "improvement_over_parent": null
    },
    "node_910": {
      "node_id": "node_910",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7776716239819,
      "fos_buckling": 1.5308209883602362,
      "fos_yielding": 4.838727585690794,
      "deflection": 0.011222519388849541,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_909",
      "improvement_over_parent": null
    },
    "node_911": {
      "node_id": "node_911",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_910",
      "improvement_over_parent": null
    },
    "node_912": {
      "node_id": "node_912",
      "content": "INITIAL DESIGN (Trace 129)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.42 kg\n  Factor of Safety: 1.09\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": 191.42033341545087,
      "fos_buckling": 1.09363621997829,
      "fos_yielding": 4.799516905840129,
      "deflection": 0.012570345468065855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_913": {
      "node_id": "node_913",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.48\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": 200.8846479775057,
      "fos_buckling": 1.4757955788059263,
      "fos_yielding": 4.800770739031767,
      "deflection": 0.01140952128926449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_912",
      "improvement_over_parent": null
    },
    "node_914": {
      "node_id": "node_914",
      "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 203.11 kg\n  Factor of Safety: 1.50\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": 203.11288926913338,
      "fos_buckling": 1.495795108371472,
      "fos_yielding": 4.840149659499204,
      "deflection": 0.011258467221554037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.387)"
      },
      "parent_node_id": "node_913",
      "improvement_over_parent": null
    },
    "node_915": {
      "node_id": "node_915",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0069)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 205.27 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.26744101755867,
      "fos_buckling": 1.5308431994962128,
      "fos_yielding": 4.843143136556454,
      "deflection": 0.011162713817095894,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.220)"
      },
      "parent_node_id": "node_914",
      "improvement_over_parent": null
    },
    "node_916": {
      "node_id": "node_916",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_915",
      "improvement_over_parent": null
    },
    "node_917": {
      "node_id": "node_917",
      "content": "INITIAL DESIGN (Trace 130)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 156.88 kg\n  Factor of Safety: 1.18\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": 156.87859737090298,
      "fos_buckling": 1.1817626410286788,
      "fos_yielding": 3.8132517135246315,
      "deflection": 0.01472920160371237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_918": {
      "node_id": "node_918",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 159.12 kg\n  Factor of Safety: 1.19\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": 159.1215802212491,
      "fos_buckling": 1.1940308530276826,
      "fos_yielding": 3.8556525119174427,
      "deflection": 0.014472726246084498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.527)"
      },
      "parent_node_id": "node_917",
      "improvement_over_parent": null
    },
    "node_919": {
      "node_id": "node_919",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.78 kg\n  Factor of Safety: 1.44\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": 199.77689068029338,
      "fos_buckling": 1.4438290451280273,
      "fos_yielding": 4.833727855317667,
      "deflection": 0.01159229832986648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_918",
      "improvement_over_parent": null
    },
    "node_920": {
      "node_id": "node_920",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.54451995847313,
      "fos_buckling": 1.5295826329673587,
      "fos_yielding": 4.8332367663818,
      "deflection": 0.011235128587806627,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.555)"
      },
      "parent_node_id": "node_919",
      "improvement_over_parent": null
    },
    "node_921": {
      "node_id": "node_921",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_920",
      "improvement_over_parent": null
    },
    "node_922": {
      "node_id": "node_922",
      "content": "INITIAL DESIGN (Trace 131)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 162.14 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.13982136001488,
      "fos_buckling": 0.20455747794223736,
      "fos_yielding": 1.7198580169562654,
      "deflection": 0.05379441753687943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_923": {
      "node_id": "node_923",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 163.13 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.55e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.1340146506585,
      "fos_buckling": 0.21601247692877504,
      "fos_yielding": 1.719459891038529,
      "deflection": 0.03546692096153346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002186)"
      },
      "parent_node_id": "node_922",
      "improvement_over_parent": null
    },
    "node_924": {
      "node_id": "node_924",
      "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 168.42 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.41704727645228,
      "fos_buckling": 0.21591666577453192,
      "fos_yielding": 1.713751729849572,
      "deflection": 0.035373126843332554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.488)"
      },
      "parent_node_id": "node_923",
      "improvement_over_parent": null
    },
    "node_925": {
      "node_id": "node_925",
      "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 169.92 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.32e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.91895853077898,
      "fos_buckling": 0.2659504783103005,
      "fos_yielding": 1.713356205091021,
      "deflection": 0.03315444007091747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.284)"
      },
      "parent_node_id": "node_924",
      "improvement_over_parent": null
    },
    "node_926": {
      "node_id": "node_926",
      "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0075)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 174.43 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.27e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.4294385847492,
      "fos_buckling": 0.2656488017489441,
      "fos_yielding": 1.7106686126868058,
      "deflection": 0.03270032471212159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.527)"
      },
      "parent_node_id": "node_925",
      "improvement_over_parent": null
    },
    "node_927": {
      "node_id": "node_927",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0075)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n  Mass: 185.45 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.4525462545879,
      "fos_buckling": 1.285522283473673,
      "fos_yielding": 4.300553598557997,
      "deflection": 0.012340894295657356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005644)"
      },
      "parent_node_id": "node_926",
      "improvement_over_parent": null
    },
    "node_928": {
      "node_id": "node_928",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0086)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0094)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 209.75 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.7497268124677,
      "fos_buckling": 1.4286346946652462,
      "fos_yielding": 4.864848649475665,
      "deflection": 0.010946368853684055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_927",
      "improvement_over_parent": null
    },
    "node_929": {
      "node_id": "node_929",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_928",
      "improvement_over_parent": null
    },
    "node_930": {
      "node_id": "node_930",
      "content": "INITIAL DESIGN (Trace 132)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 155.92 kg\n  Factor of Safety: 0.36\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": 155.9228450919173,
      "fos_buckling": 0.35575976758972144,
      "fos_yielding": 4.138743402945892,
      "deflection": 0.01622168419834575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_931": {
      "node_id": "node_931",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 156.83 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.82787347722294,
      "fos_buckling": 0.35583384009247154,
      "fos_yielding": 3.942932376443831,
      "deflection": 0.015678239665481784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001975)"
      },
      "parent_node_id": "node_930",
      "improvement_over_parent": null
    },
    "node_932": {
      "node_id": "node_932",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 164.47 kg\n  Factor of Safety: 1.28\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": 164.47438935286908,
      "fos_buckling": 1.277089366695651,
      "fos_yielding": 3.89047476553618,
      "deflection": 0.013890923524672692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004121)"
      },
      "parent_node_id": "node_931",
      "improvement_over_parent": null
    },
    "node_933": {
      "node_id": "node_933",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77031014304404,
      "fos_buckling": 1.5308087571333817,
      "fos_yielding": 4.838406927535698,
      "deflection": 0.011223124682165053,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_932",
      "improvement_over_parent": null
    },
    "node_934": {
      "node_id": "node_934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_933",
      "improvement_over_parent": null
    },
    "node_935": {
      "node_id": "node_935",
      "content": "INITIAL DESIGN (Trace 133)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_936": {
      "node_id": "node_936",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 1.09\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": 195.23713436207453,
      "fos_buckling": 1.093420411589567,
      "fos_yielding": 4.8353221175081655,
      "deflection": 0.012386904571378124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_935",
      "improvement_over_parent": null
    },
    "node_937": {
      "node_id": "node_937",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70144892412935,
      "fos_buckling": 1.530405524577389,
      "fos_yielding": 4.836788478408788,
      "deflection": 0.011226788510096813,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_936",
      "improvement_over_parent": null
    },
    "node_938": {
      "node_id": "node_938",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_937",
      "improvement_over_parent": null
    },
    "node_939": {
      "node_id": "node_939",
      "content": "INITIAL DESIGN (Trace 134)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (15 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 144.03 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.75e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.03003012277745,
      "fos_buckling": 0.3964740740581838,
      "fos_yielding": 3.28072374334251,
      "deflection": 175154613914788.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_940": {
      "node_id": "node_940",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 164.88 kg\n  Factor of Safety: 0.37\n  Max Deflection: 6.73e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.87824161175595,
      "fos_buckling": 0.37186297404289254,
      "fos_yielding": 2.128759456632214,
      "deflection": 67309819222686.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_939",
      "improvement_over_parent": null
    },
    "node_941": {
      "node_id": "node_941",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 172.66 kg\n  Factor of Safety: 0.03\n  Max Deflection: 1.59e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.65989012400843,
      "fos_buckling": 0.02935232687850006,
      "fos_yielding": 0.27920948962284464,
      "deflection": 158983033020388.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_940",
      "improvement_over_parent": null
    },
    "node_942": {
      "node_id": "node_942",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 187.84 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.84444413890984,
      "fos_buckling": 0.6829180665744086,
      "fos_yielding": 4.750380561214431,
      "deflection": 0.02540583155007422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_941",
      "improvement_over_parent": null
    },
    "node_943": {
      "node_id": "node_943",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 190.96 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.95982203863025,
      "fos_buckling": 0.6825581637822461,
      "fos_yielding": 4.750125123004293,
      "deflection": 0.016964581185406405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_942",
      "improvement_over_parent": null
    },
    "node_944": {
      "node_id": "node_944",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 192.48 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.47579248709948,
      "fos_buckling": 0.6825581637822459,
      "fos_yielding": 5.716203728174306,
      "deflection": 0.016887340143660712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.295)"
      },
      "parent_node_id": "node_943",
      "improvement_over_parent": null
    },
    "node_945": {
      "node_id": "node_945",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 203.49 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.49144936298646,
      "fos_buckling": 1.482503994803241,
      "fos_yielding": 5.626941071091978,
      "deflection": 0.011351850898450117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_944",
      "improvement_over_parent": null
    },
    "node_946": {
      "node_id": "node_946",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.21 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.20758118946011,
      "fos_buckling": 1.4775726054837512,
      "fos_yielding": 5.622464008437302,
      "deflection": 0.011233368014673915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_945",
      "improvement_over_parent": null
    },
    "node_947": {
      "node_id": "node_947",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 135)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 158.37 kg\n  Factor of Safety: 0.71\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": 158.3718462618894,
      "fos_buckling": 0.7071917658741843,
      "fos_yielding": 3.9584644860567053,
      "deflection": 0.016241002875449613,
      "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 14 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 160.86 kg\n  Factor of Safety: 0.71\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": 160.8575370934884,
      "fos_buckling": 0.7103315866465955,
      "fos_yielding": 3.9542023551769163,
      "deflection": 0.01621103693922278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.508)"
      },
      "parent_node_id": "node_948",
      "improvement_over_parent": null
    },
    "node_950": {
      "node_id": "node_950",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 164.00 kg\n  Factor of Safety: 0.75\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": 163.99583799790253,
      "fos_buckling": 0.7545322177704242,
      "fos_yielding": 3.952173810035554,
      "deflection": 0.015197134009656948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.401)"
      },
      "parent_node_id": "node_949",
      "improvement_over_parent": null
    },
    "node_951": {
      "node_id": "node_951",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.63 kg\n  Factor of Safety: 0.90\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": 201.6322954337798,
      "fos_buckling": 0.898942288989959,
      "fos_yielding": 4.854221645884218,
      "deflection": 0.012400776680646037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_950",
      "improvement_over_parent": null
    },
    "node_952": {
      "node_id": "node_952",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74767333350022,
      "fos_buckling": 1.5307105934636625,
      "fos_yielding": 4.837856773360354,
      "deflection": 0.011224461052462293,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_951",
      "improvement_over_parent": null
    },
    "node_953": {
      "node_id": "node_953",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_952",
      "improvement_over_parent": null
    },
    "node_954": {
      "node_id": "node_954",
      "content": "INITIAL DESIGN (Trace 136)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 117.37 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.37254627750262,
      "fos_buckling": 0.6595203517314173,
      "fos_yielding": 2.9293059910851484,
      "deflection": 0.017786666373914375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_955": {
      "node_id": "node_955",
      "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 119.59 kg\n  Factor of Safety: 0.66\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": 119.59331627922641,
      "fos_buckling": 0.6596475312610528,
      "fos_yielding": 2.9638281022101887,
      "deflection": 0.017612376103740005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.431)"
      },
      "parent_node_id": "node_954",
      "improvement_over_parent": null
    },
    "node_956": {
      "node_id": "node_956",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 152.74 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.73943745436338,
      "fos_buckling": 0.8203124685403704,
      "fos_yielding": 3.781853718553833,
      "deflection": 0.013835825957309764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_955",
      "improvement_over_parent": null
    },
    "node_957": {
      "node_id": "node_957",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 159.45 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.44808179628956,
      "fos_buckling": 1.2438119869055833,
      "fos_yielding": 3.7720579947565636,
      "deflection": 0.014318424008299375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003792)"
      },
      "parent_node_id": "node_956",
      "improvement_over_parent": null
    },
    "node_958": {
      "node_id": "node_958",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.62546987308917,
      "fos_buckling": 1.5299196375403312,
      "fos_yielding": 4.834962382503088,
      "deflection": 0.011230943002628075,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_957",
      "improvement_over_parent": null
    },
    "node_959": {
      "node_id": "node_959",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_958",
      "improvement_over_parent": null
    },
    "node_960": {
      "node_id": "node_960",
      "content": "INITIAL DESIGN (Trace 137)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 140.65 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.65390598464273,
      "fos_buckling": 0.31049191711375335,
      "fos_yielding": 2.466257731183263,
      "deflection": 19673113286116.625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_961": {
      "node_id": "node_961",
      "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 144.90 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.44e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.89717538517635,
      "fos_buckling": 0.4125503189234858,
      "fos_yielding": 4.523132818844787,
      "deflection": 14350703987497.865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.506)"
      },
      "parent_node_id": "node_960",
      "improvement_over_parent": null
    },
    "node_962": {
      "node_id": "node_962",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 155.25 kg\n  Factor of Safety: 0.37\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": 155.24696191990418,
      "fos_buckling": 0.3746473723957495,
      "fos_yielding": 4.061335893100651,
      "deflection": 0.015770707935759836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005272)"
      },
      "parent_node_id": "node_961",
      "improvement_over_parent": null
    },
    "node_963": {
      "node_id": "node_963",
      "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 156.91 kg\n  Factor of Safety: 0.37\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": 156.90756420627596,
      "fos_buckling": 0.37472115274636797,
      "fos_yielding": 4.033839322027957,
      "deflection": 0.015687140484739893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.653)"
      },
      "parent_node_id": "node_962",
      "improvement_over_parent": null
    },
    "node_964": {
      "node_id": "node_964",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 189.42 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.42203752914028,
      "fos_buckling": 0.43673408802100494,
      "fos_yielding": 4.8641367281409424,
      "deflection": 0.013052158743328462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_963",
      "improvement_over_parent": null
    },
    "node_965": {
      "node_id": "node_965",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 193.11 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.11288460337406,
      "fos_buckling": 0.425679689882659,
      "fos_yielding": 4.864016078353128,
      "deflection": 0.012822456327844976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.385)"
      },
      "parent_node_id": "node_964",
      "improvement_over_parent": null
    },
    "node_966": {
      "node_id": "node_966",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 202.63 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.6285424203744,
      "fos_buckling": 1.484478553058963,
      "fos_yielding": 4.801147728246009,
      "deflection": 0.011364416052811624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_965",
      "improvement_over_parent": null
    },
    "node_967": {
      "node_id": "node_967",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72626861926534,
      "fos_buckling": 1.5304961878497783,
      "fos_yielding": 4.837499412441061,
      "deflection": 0.011225495801117496,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.357)"
      },
      "parent_node_id": "node_966",
      "improvement_over_parent": null
    },
    "node_968": {
      "node_id": "node_968",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_967",
      "improvement_over_parent": null
    },
    "node_969": {
      "node_id": "node_969",
      "content": "INITIAL DESIGN (Trace 138)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 174.18 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.1780507570025,
      "fos_buckling": 0.6836803892855082,
      "fos_yielding": 2.6644022220843007,
      "deflection": 0.01568661401711368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_970": {
      "node_id": "node_970",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 182.79 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.78853979007638,
      "fos_buckling": 0.6821874500250565,
      "fos_yielding": 2.633654629987671,
      "deflection": 0.015690807017193317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_969",
      "improvement_over_parent": null
    },
    "node_971": {
      "node_id": "node_971",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n  Mass: 185.11 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.10647652259365,
      "fos_buckling": 0.6819202078009532,
      "fos_yielding": 4.084612701898625,
      "deflection": 0.014890894283901914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003025)"
      },
      "parent_node_id": "node_970",
      "improvement_over_parent": null
    },
    "node_972": {
      "node_id": "node_972",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 196.12 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.12213339848063,
      "fos_buckling": 1.154301016558168,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.01187421093256875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_971",
      "improvement_over_parent": null
    },
    "node_973": {
      "node_id": "node_973",
      "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0074)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 197.83 kg\n  Factor of Safety: 1.15\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": 197.82994674952903,
      "fos_buckling": 1.154301016558168,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.01181107588886661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.377)"
      },
      "parent_node_id": "node_972",
      "improvement_over_parent": null
    },
    "node_974": {
      "node_id": "node_974",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0074)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 205.61 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6115952617815,
      "fos_buckling": 1.3457080304865932,
      "fos_yielding": 4.837709063302818,
      "deflection": 0.011175512042612253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_973",
      "improvement_over_parent": null
    },
    "node_975": {
      "node_id": "node_975",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_974",
      "improvement_over_parent": null
    },
    "node_976": {
      "node_id": "node_976",
      "content": "INITIAL DESIGN (Trace 139)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 180.10 kg\n  Factor of Safety: 0.68\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": 180.10452881096893,
      "fos_buckling": 0.6841351451504778,
      "fos_yielding": 4.789796879336868,
      "deflection": 0.012281608713521047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_977": {
      "node_id": "node_977",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 191.53 kg\n  Factor of Safety: 0.68\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": 191.53172897700856,
      "fos_buckling": 0.6821526106463245,
      "fos_yielding": 4.78850976670907,
      "deflection": 0.013878779668590564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_976",
      "improvement_over_parent": null
    },
    "node_978": {
      "node_id": "node_978",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 202.55 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.54738585289553,
      "fos_buckling": 1.5184318443454818,
      "fos_yielding": 4.868496188275527,
      "deflection": 0.011289832595740658,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_977",
      "improvement_over_parent": null
    },
    "node_979": {
      "node_id": "node_979",
      "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70170643172045,
      "fos_buckling": 1.5303939819759083,
      "fos_yielding": 4.836781878814274,
      "deflection": 0.011226761145665242,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.420)"
      },
      "parent_node_id": "node_978",
      "improvement_over_parent": null
    },
    "node_980": {
      "node_id": "node_980",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_979",
      "improvement_over_parent": null
    },
    "node_981": {
      "node_id": "node_981",
      "content": "INITIAL DESIGN (Trace 140)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 147.18 kg\n  Factor of Safety: 1.13\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": 147.1771732224434,
      "fos_buckling": 1.1288671531677446,
      "fos_yielding": 3.5672711458907744,
      "deflection": 0.015341418816931358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_982": {
      "node_id": "node_982",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.03 kg\n  Factor of Safety: 1.34\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": 180.0283535741626,
      "fos_buckling": 1.3390078559512202,
      "fos_yielding": 4.358410469259067,
      "deflection": 0.012603352526114182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_981",
      "improvement_over_parent": null
    },
    "node_983": {
      "node_id": "node_983",
      "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.23 kg\n  Factor of Safety: 1.34\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": 180.22776727544817,
      "fos_buckling": 1.3391739197920052,
      "fos_yielding": 4.357895093593437,
      "deflection": 0.012586185277934918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.486)"
      },
      "parent_node_id": "node_982",
      "improvement_over_parent": null
    },
    "node_984": {
      "node_id": "node_984",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.11 kg\n  Factor of Safety: 1.46\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": 200.10617449513677,
      "fos_buckling": 1.4589357582483495,
      "fos_yielding": 4.8351347705727035,
      "deflection": 0.011369472869967196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_983",
      "improvement_over_parent": null
    },
    "node_985": {
      "node_id": "node_985",
      "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63531305439724,
      "fos_buckling": 1.5300211138495576,
      "fos_yielding": 4.835193209979743,
      "deflection": 0.011230372389303562,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.531)"
      },
      "parent_node_id": "node_984",
      "improvement_over_parent": null
    },
    "node_986": {
      "node_id": "node_986",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_985",
      "improvement_over_parent": null
    },
    "node_987": {
      "node_id": "node_987",
      "content": "INITIAL DESIGN (Trace 141)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 100.15 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.15422922017513,
      "fos_buckling": 0.40536726798041567,
      "fos_yielding": 2.582327465185369,
      "deflection": 0.027108033857579227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_988": {
      "node_id": "node_988",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 125.54 kg\n  Factor of Safety: 0.50\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": 125.5438225188915,
      "fos_buckling": 0.4952245968851924,
      "fos_yielding": 3.2346852706753455,
      "deflection": 0.021698537417297836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_987",
      "improvement_over_parent": null
    },
    "node_989": {
      "node_id": "node_989",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 154.87 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.87105521005864,
      "fos_buckling": 0.5926185494140189,
      "fos_yielding": 3.987085432610509,
      "deflection": 0.017657655422202736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_988",
      "improvement_over_parent": null
    },
    "node_990": {
      "node_id": "node_990",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 155.01 kg\n  Factor of Safety: 0.59\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": 155.00721423933425,
      "fos_buckling": 0.5926322429985725,
      "fos_yielding": 4.000358499917906,
      "deflection": 0.01759364047314258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.181)"
      },
      "parent_node_id": "node_989",
      "improvement_over_parent": null
    },
    "node_991": {
      "node_id": "node_991",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n\nPerformance:\n  Mass: 162.96 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.96072668980264,
      "fos_buckling": 0.5922325590477872,
      "fos_yielding": 4.000083702391861,
      "deflection": 0.01630291750273613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004659)"
      },
      "parent_node_id": "node_990",
      "improvement_over_parent": null
    },
    "node_992": {
      "node_id": "node_992",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n  Mass: 172.22 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.21755011214447,
      "fos_buckling": 1.3276213714772476,
      "fos_yielding": 4.073275057338505,
      "deflection": 0.013280960414965022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004653)"
      },
      "parent_node_id": "node_991",
      "improvement_over_parent": null
    },
    "node_993": {
      "node_id": "node_993",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.98 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.98424182362888,
      "fos_buckling": 1.5320814259513298,
      "fos_yielding": 4.844004777104142,
      "deflection": 0.011211404541551753,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_992",
      "improvement_over_parent": null
    },
    "node_994": {
      "node_id": "node_994",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_993",
      "improvement_over_parent": null
    },
    "node_995": {
      "node_id": "node_995",
      "content": "INITIAL DESIGN (Trace 142)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 158.94 kg\n  Factor of Safety: 1.02\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": 158.9368885966242,
      "fos_buckling": 1.0214037121164337,
      "fos_yielding": 3.4241353913287442,
      "deflection": 0.015486450176654943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_996": {
      "node_id": "node_996",
      "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 160.02 kg\n  Factor of Safety: 1.02\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": 160.02140839499341,
      "fos_buckling": 1.0229645326402137,
      "fos_yielding": 3.9437195168626857,
      "deflection": 0.015380163396229274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.372)"
      },
      "parent_node_id": "node_995",
      "improvement_over_parent": null
    },
    "node_997": {
      "node_id": "node_997",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.29 kg\n  Factor of Safety: 1.29\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": 163.29366325093676,
      "fos_buckling": 1.2878697095971976,
      "fos_yielding": 3.9411975027648856,
      "deflection": 0.014437635308748897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.387)"
      },
      "parent_node_id": "node_996",
      "improvement_over_parent": null
    },
    "node_998": {
      "node_id": "node_998",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 166.72 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.72087964631814,
      "fos_buckling": 1.291876086857758,
      "fos_yielding": 3.9432515577168132,
      "deflection": 0.013708138830032844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.383)"
      },
      "parent_node_id": "node_997",
      "improvement_over_parent": null
    },
    "node_999": {
      "node_id": "node_999",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68009107208522,
      "fos_buckling": 1.5303107215098273,
      "fos_yielding": 4.8361378104526445,
      "deflection": 0.0112278360516099,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_998",
      "improvement_over_parent": null
    },
    "node_1000": {
      "node_id": "node_1000",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_999",
      "improvement_over_parent": null
    },
    "node_1001": {
      "node_id": "node_1001",
      "content": "INITIAL DESIGN (Trace 143)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 170.15 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.1490197815515,
      "fos_buckling": 0.6276196022485285,
      "fos_yielding": 3.9508548272347905,
      "deflection": 0.01650569588764339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1002": {
      "node_id": "node_1002",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.92 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.91893400036562,
      "fos_buckling": 0.6832957395379899,
      "fos_yielding": 4.387852579603147,
      "deflection": 0.01489270768351787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1001",
      "improvement_over_parent": null
    },
    "node_1003": {
      "node_id": "node_1003",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 199.93 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.9345908762526,
      "fos_buckling": 1.1964770870910932,
      "fos_yielding": 4.842425284767305,
      "deflection": 0.012182461843391923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1002",
      "improvement_over_parent": null
    },
    "node_1004": {
      "node_id": "node_1004",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76132391343313,
      "fos_buckling": 1.5308078214172687,
      "fos_yielding": 4.838384907856688,
      "deflection": 0.01122394000615359,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.511)"
      },
      "parent_node_id": "node_1003",
      "improvement_over_parent": null
    },
    "node_1005": {
      "node_id": "node_1005",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1004",
      "improvement_over_parent": null
    },
    "node_1006": {
      "node_id": "node_1006",
      "content": "INITIAL DESIGN (Trace 144)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 141.21 kg\n  Factor of Safety: 0.80\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": 141.21157238043753,
      "fos_buckling": 0.8041379469654549,
      "fos_yielding": 3.0557972854149758,
      "deflection": 0.016964456718713994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1007": {
      "node_id": "node_1007",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n  Mass: 143.54 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.54384086636912,
      "fos_buckling": 0.8594288527062075,
      "fos_yielding": 3.0474309258409735,
      "deflection": 0.017079109674796304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003045)"
      },
      "parent_node_id": "node_1006",
      "improvement_over_parent": null
    },
    "node_1008": {
      "node_id": "node_1008",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 169.92 kg\n  Factor of Safety: 0.99\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": 169.92441391798758,
      "fos_buckling": 0.9907784320523939,
      "fos_yielding": 3.6124057216108225,
      "deflection": 0.014478779601406224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_1007",
      "improvement_over_parent": null
    },
    "node_1009": {
      "node_id": "node_1009",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 170.76 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.75523640525827,
      "fos_buckling": 0.9907784320523949,
      "fos_yielding": 4.282463861857533,
      "deflection": 0.01441595277950655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.208)"
      },
      "parent_node_id": "node_1008",
      "improvement_over_parent": null
    },
    "node_1010": {
      "node_id": "node_1010",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n  Mass: 179.14 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.1398233071863,
      "fos_buckling": 1.206529319604914,
      "fos_yielding": 4.283744179655602,
      "deflection": 0.01311454327784243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004933)"
      },
      "parent_node_id": "node_1009",
      "improvement_over_parent": null
    },
    "node_1011": {
      "node_id": "node_1011",
      "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n  Mass: 181.37 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.3734810263255,
      "fos_buckling": 1.3862486259916684,
      "fos_yielding": 4.289065424022119,
      "deflection": 0.012627080473345301,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.274)"
      },
      "parent_node_id": "node_1010",
      "improvement_over_parent": null
    },
    "node_1012": {
      "node_id": "node_1012",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.81182630975445,
      "fos_buckling": 1.5310154942461198,
      "fos_yielding": 4.8402761986577945,
      "deflection": 0.01122029341988855,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1011",
      "improvement_over_parent": null
    },
    "node_1013": {
      "node_id": "node_1013",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1012",
      "improvement_over_parent": null
    },
    "node_1014": {
      "node_id": "node_1014",
      "content": "INITIAL DESIGN (Trace 145)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 95.12 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.11910221812619,
      "fos_buckling": 0.2561640710585491,
      "fos_yielding": 2.137972852733866,
      "deflection": 0.03200399850374556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1015": {
      "node_id": "node_1015",
      "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 96.72 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.23e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.71519282111004,
      "fos_buckling": 0.25606068413491023,
      "fos_yielding": 2.1378044304839503,
      "deflection": 0.03231589653378503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.389)"
      },
      "parent_node_id": "node_1014",
      "improvement_over_parent": null
    },
    "node_1016": {
      "node_id": "node_1016",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 122.33 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.33358819791677,
      "fos_buckling": 0.31473125031133703,
      "fos_yielding": 2.700189037900531,
      "deflection": 0.025671281760254214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1015",
      "improvement_over_parent": null
    },
    "node_1017": {
      "node_id": "node_1017",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n\nPerformance:\n  Mass: 130.49 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.4927283140254,
      "fos_buckling": 0.832341084651522,
      "fos_yielding": 3.082350249951532,
      "deflection": 0.01787667407350234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003777)"
      },
      "parent_node_id": "node_1016",
      "improvement_over_parent": null
    },
    "node_1018": {
      "node_id": "node_1018",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n  Mass: 164.47 kg\n  Factor of Safety: 1.02\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": 164.4736993978171,
      "fos_buckling": 1.0240999710470353,
      "fos_yielding": 3.880837153641018,
      "deflection": 0.014245384178267784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1017",
      "improvement_over_parent": null
    },
    "node_1019": {
      "node_id": "node_1019",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 200.62 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.6158702015282,
      "fos_buckling": 1.2169416734019405,
      "fos_yielding": 4.728199357276154,
      "deflection": 0.011732600103366074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1018",
      "improvement_over_parent": null
    },
    "node_1020": {
      "node_id": "node_1020",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 201.74 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.74251802181482,
      "fos_buckling": 1.2928088094196146,
      "fos_yielding": 4.829120817731188,
      "deflection": 0.011753426113840703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69037536153672,
      "fos_buckling": 1.5302907589095895,
      "fos_yielding": 4.836396701668642,
      "deflection": 0.011227058136305548,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.339)"
      },
      "parent_node_id": "node_1020",
      "improvement_over_parent": null
    },
    "node_1022": {
      "node_id": "node_1022",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1021",
      "improvement_over_parent": null
    },
    "node_1023": {
      "node_id": "node_1023",
      "content": "INITIAL DESIGN (Trace 146)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 143.22 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.22129737958682,
      "fos_buckling": 0.3587702629520607,
      "fos_yielding": 2.9947971970378946,
      "deflection": 0.01907496880400876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1024": {
      "node_id": "node_1024",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 144.38 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.37739038149164,
      "fos_buckling": 0.35877026295206055,
      "fos_yielding": 3.1504329326012237,
      "deflection": 0.018930830641196234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.445)"
      },
      "parent_node_id": "node_1023",
      "improvement_over_parent": null
    },
    "node_1025": {
      "node_id": "node_1025",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 169.15 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.15331991392836,
      "fos_buckling": 0.408525360200455,
      "fos_yielding": 3.685898357833997,
      "deflection": 0.016221614802247614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1024",
      "improvement_over_parent": null
    },
    "node_1026": {
      "node_id": "node_1026",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.81 kg\n  Factor of Safety: 0.45\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": 189.80618440578064,
      "fos_buckling": 0.44747118036363537,
      "fos_yielding": 4.131087426170145,
      "deflection": 0.01450378306604505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1025",
      "improvement_over_parent": null
    },
    "node_1027": {
      "node_id": "node_1027",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.98 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.98379372783475,
      "fos_buckling": 0.4473908234510318,
      "fos_yielding": 4.130940149707481,
      "deflection": 0.014370050085042718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.199)"
      },
      "parent_node_id": "node_1026",
      "improvement_over_parent": null
    },
    "node_1028": {
      "node_id": "node_1028",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52278606780405,
      "fos_buckling": 1.5290632527502683,
      "fos_yielding": 4.832424877527205,
      "deflection": 0.011236365237535158,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1027",
      "improvement_over_parent": null
    },
    "node_1029": {
      "node_id": "node_1029",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1028",
      "improvement_over_parent": null
    },
    "node_1030": {
      "node_id": "node_1030",
      "content": "INITIAL DESIGN (Trace 147)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 141.64 kg\n  Factor of Safety: 0.95\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": 141.63794953690564,
      "fos_buckling": 0.9497945899882996,
      "fos_yielding": 3.416571450098662,
      "deflection": 0.01675236893873644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1031": {
      "node_id": "node_1031",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 171.83 kg\n  Factor of Safety: 1.13\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": 171.82535630294066,
      "fos_buckling": 1.1294109594058561,
      "fos_yielding": 4.140462119524278,
      "deflection": 0.013860432031918295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1030",
      "improvement_over_parent": null
    },
    "node_1032": {
      "node_id": "node_1032",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.97 kg\n  Factor of Safety: 1.30\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": 200.96616824360277,
      "fos_buckling": 1.2952534125209902,
      "fos_yielding": 4.837772754872399,
      "deflection": 0.011892480870477808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1031",
      "improvement_over_parent": null
    },
    "node_1033": {
      "node_id": "node_1033",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.620298857316,
      "fos_buckling": 1.529925958075932,
      "fos_yielding": 4.834951168281701,
      "deflection": 0.011231268718287692,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_1032",
      "improvement_over_parent": null
    },
    "node_1034": {
      "node_id": "node_1034",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1033",
      "improvement_over_parent": null
    },
    "node_1035": {
      "node_id": "node_1035",
      "content": "INITIAL DESIGN (Trace 148)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 146.69 kg\n  Factor of Safety: 0.22\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": 146.69009496311259,
      "fos_buckling": 0.22415636762411922,
      "fos_yielding": 3.718681745099533,
      "deflection": 0.0152944078442221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1036": {
      "node_id": "node_1036",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 155.52 kg\n  Factor of Safety: 1.00\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": 155.51618181603695,
      "fos_buckling": 1.0027991393237872,
      "fos_yielding": 3.733747569988801,
      "deflection": 0.015237986363238214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004328)"
      },
      "parent_node_id": "node_1035",
      "improvement_over_parent": null
    },
    "node_1037": {
      "node_id": "node_1037",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 158.11 kg\n  Factor of Safety: 1.23\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": 158.1066225805943,
      "fos_buckling": 1.234879684744872,
      "fos_yielding": 3.740458433217436,
      "deflection": 0.014436576270305168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.393)"
      },
      "parent_node_id": "node_1036",
      "improvement_over_parent": null
    },
    "node_1038": {
      "node_id": "node_1038",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63498648951244,
      "fos_buckling": 1.5299831161226363,
      "fos_yielding": 4.835186810199432,
      "deflection": 0.011230058728619527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1037",
      "improvement_over_parent": null
    },
    "node_1039": {
      "node_id": "node_1039",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1038",
      "improvement_over_parent": null
    },
    "node_1040": {
      "node_id": "node_1040",
      "content": "INITIAL DESIGN (Trace 149)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 164.67 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.66999957310142,
      "fos_buckling": 0.44725912612720686,
      "fos_yielding": 3.072513945394416,
      "deflection": 0.020563886209036545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1041": {
      "node_id": "node_1041",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.25 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.24988720916298,
      "fos_buckling": 0.48799766955401874,
      "fos_yielding": 3.415640494136016,
      "deflection": 0.018511341276072367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1040",
      "improvement_over_parent": null
    },
    "node_1042": {
      "node_id": "node_1042",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 183.97 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.96601903563663,
      "fos_buckling": 0.48795816931304037,
      "fos_yielding": 3.415491753553152,
      "deflection": 0.01846125445203284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1041",
      "improvement_over_parent": null
    },
    "node_1043": {
      "node_id": "node_1043",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.81423052461514,
      "fos_buckling": 1.530620566365675,
      "fos_yielding": 4.839751174449115,
      "deflection": 0.011220678547957027,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1042",
      "improvement_over_parent": null
    },
    "node_1044": {
      "node_id": "node_1044",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 150)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.73 kg\n  Factor of Safety: 0.98\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": 193.73416796172992,
      "fos_buckling": 0.9790893563939045,
      "fos_yielding": 4.533368058589505,
      "deflection": 0.013844244007629463,
      "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: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.94 kg\n  Factor of Safety: 0.98\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": 195.94351684571902,
      "fos_buckling": 0.9845067447458855,
      "fos_yielding": 4.539975741470415,
      "deflection": 0.01371297296365097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.250)"
      },
      "parent_node_id": "node_1045",
      "improvement_over_parent": null
    },
    "node_1047": {
      "node_id": "node_1047",
      "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 0.90\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": 201.5880647650504,
      "fos_buckling": 0.8988529340586089,
      "fos_yielding": 4.853131875643315,
      "deflection": 0.012403349781363907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.597)"
      },
      "parent_node_id": "node_1046",
      "improvement_over_parent": null
    },
    "node_1048": {
      "node_id": "node_1048",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70344266477082,
      "fos_buckling": 1.5303955767656972,
      "fos_yielding": 4.8367718340708015,
      "deflection": 0.011226550697134293,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1047",
      "improvement_over_parent": null
    },
    "node_1049": {
      "node_id": "node_1049",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1048",
      "improvement_over_parent": null
    },
    "node_1050": {
      "node_id": "node_1050",
      "content": "INITIAL DESIGN (Trace 151)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 158.94 kg\n  Factor of Safety: 0.87\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": 158.93973103990749,
      "fos_buckling": 0.8702484285510806,
      "fos_yielding": 3.875330318367183,
      "deflection": 0.016197185135838475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1051": {
      "node_id": "node_1051",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.92 kg\n  Factor of Safety: 1.06\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": 200.92462081081487,
      "fos_buckling": 1.0621737641904205,
      "fos_yielding": 4.89334719667893,
      "deflection": 0.012856945722187839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1050",
      "improvement_over_parent": null
    },
    "node_1052": {
      "node_id": "node_1052",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.04 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.0399987105353,
      "fos_buckling": 1.528869675339248,
      "fos_yielding": 4.842250506390331,
      "deflection": 0.011341481410088282,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1051",
      "improvement_over_parent": null
    },
    "node_1053": {
      "node_id": "node_1053",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75613053700894,
      "fos_buckling": 1.5307187691859165,
      "fos_yielding": 4.838107118533939,
      "deflection": 0.011223833956857764,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1052",
      "improvement_over_parent": null
    },
    "node_1054": {
      "node_id": "node_1054",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1053",
      "improvement_over_parent": null
    },
    "node_1055": {
      "node_id": "node_1055",
      "content": "INITIAL DESIGN (Trace 152)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 115.10 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.09699568591343,
      "fos_buckling": 0.7404990870932977,
      "fos_yielding": 3.256843149721866,
      "deflection": 0.021310914323054538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1056": {
      "node_id": "node_1056",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 147.99 kg\n  Factor of Safety: 0.92\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": 147.99243782099748,
      "fos_buckling": 0.9202519865478729,
      "fos_yielding": 4.185974742415103,
      "deflection": 0.016656970661701333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1055",
      "improvement_over_parent": null
    },
    "node_1057": {
      "node_id": "node_1057",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.54 kg\n  Factor of Safety: 1.09\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": 182.53933320806505,
      "fos_buckling": 1.0940338605114217,
      "fos_yielding": 5.160859868978742,
      "deflection": 0.013574657184815516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1056",
      "improvement_over_parent": null
    },
    "node_1058": {
      "node_id": "node_1058",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 187.85 kg\n  Factor of Safety: 1.09\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": 187.84737868505954,
      "fos_buckling": 1.0938698458372436,
      "fos_yielding": 4.781098713691593,
      "deflection": 0.012567895816041171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1057",
      "improvement_over_parent": null
    },
    "node_1059": {
      "node_id": "node_1059",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 188.09 kg\n  Factor of Safety: 1.09\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": 188.0871053075585,
      "fos_buckling": 1.0938402215811385,
      "fos_yielding": 4.780906799347057,
      "deflection": 0.01256470621913522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.383)"
      },
      "parent_node_id": "node_1058",
      "improvement_over_parent": null
    },
    "node_1060": {
      "node_id": "node_1060",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.97 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.97201218318008,
      "fos_buckling": 1.4084531109689862,
      "fos_yielding": 4.782069730489932,
      "deflection": 0.011401052471177082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1059",
      "improvement_over_parent": null
    },
    "node_1061": {
      "node_id": "node_1061",
      "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63776083051658,
      "fos_buckling": 1.5306057424739572,
      "fos_yielding": 4.8296492081338025,
      "deflection": 0.011212589527752646,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.497)"
      },
      "parent_node_id": "node_1060",
      "improvement_over_parent": null
    },
    "node_1062": {
      "node_id": "node_1062",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1061",
      "improvement_over_parent": null
    },
    "node_1063": {
      "node_id": "node_1063",
      "content": "INITIAL DESIGN (Trace 153)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 145.20 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.24e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.2002152486624,
      "fos_buckling": 0.41815904166363255,
      "fos_yielding": 2.8347794959784993,
      "deflection": 0.022364705646879927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1064": {
      "node_id": "node_1064",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n\nPerformance:\n  Mass: 152.34 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.33548371475,
      "fos_buckling": 0.417736335891149,
      "fos_yielding": 2.833239313574273,
      "deflection": 0.022227761208353503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004052)"
      },
      "parent_node_id": "node_1063",
      "improvement_over_parent": null
    },
    "node_1065": {
      "node_id": "node_1065",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 183.82 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8245498385162,
      "fos_buckling": 0.48765504723041814,
      "fos_yielding": 3.4128794978862103,
      "deflection": 0.018475273967134515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1064",
      "improvement_over_parent": null
    },
    "node_1066": {
      "node_id": "node_1066",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6727613274947,
      "fos_buckling": 1.5304095199347523,
      "fos_yielding": 4.836029833148821,
      "deflection": 0.011228352682818028,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1065",
      "improvement_over_parent": null
    },
    "node_1067": {
      "node_id": "node_1067",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1066",
      "improvement_over_parent": null
    },
    "node_1068": {
      "node_id": "node_1068",
      "content": "INITIAL DESIGN (Trace 154)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 97.01 kg\n  Factor of Safety: 0.07\n  Max Deflection: 5.00e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.00634420209707,
      "fos_buckling": 0.06782880314629446,
      "fos_yielding": 0.9860844127543579,
      "deflection": 50026252164298.19,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1069": {
      "node_id": "node_1069",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 123.65 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.19e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.65204919279188,
      "fos_buckling": 0.35239630689730156,
      "fos_yielding": 3.199199141271147,
      "deflection": 11888747967368.832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1068",
      "improvement_over_parent": null
    },
    "node_1070": {
      "node_id": "node_1070",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 154.04 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.58e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.04002412036746,
      "fos_buckling": 0.25630174546947293,
      "fos_yielding": 1.9721688255087158,
      "deflection": 25802612991482.76,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1069",
      "improvement_over_parent": null
    },
    "node_1071": {
      "node_id": "node_1071",
      "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 157.56 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.79e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.56316863640075,
      "fos_buckling": 0.12815087273473647,
      "fos_yielding": 1.6505945790782484,
      "deflection": 17932289232307.27,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.429)"
      },
      "parent_node_id": "node_1070",
      "improvement_over_parent": null
    },
    "node_1072": {
      "node_id": "node_1072",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 176.22 kg\n  Factor of Safety: 0.32\n  Max Deflection: 8.97e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.22179271025567,
      "fos_buckling": 0.31969643413299487,
      "fos_yielding": 3.6025419270211287,
      "deflection": 8973284939159.855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1071",
      "improvement_over_parent": null
    },
    "node_1073": {
      "node_id": "node_1073",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 187.65 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.6489928762953,
      "fos_buckling": 0.27675970895122926,
      "fos_yielding": 1.362230670787421,
      "deflection": 0.03428844091425347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_1072",
      "improvement_over_parent": null
    },
    "node_1074": {
      "node_id": "node_1074",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.83 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.8335468911967,
      "fos_buckling": 1.3793831553972906,
      "fos_yielding": 4.837731570819412,
      "deflection": 0.011558118465457356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1073",
      "improvement_over_parent": null
    },
    "node_1075": {
      "node_id": "node_1075",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.90 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.90338476576784,
      "fos_buckling": 1.5318325212935795,
      "fos_yielding": 4.8424489030598705,
      "deflection": 0.011216511998433935,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.218)"
      },
      "parent_node_id": "node_1074",
      "improvement_over_parent": null
    },
    "node_1076": {
      "node_id": "node_1076",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1075",
      "improvement_over_parent": null
    },
    "node_1077": {
      "node_id": "node_1077",
      "content": "INITIAL DESIGN (Trace 155)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 132.75 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.7512059560495,
      "fos_buckling": 1.0431514720755068,
      "fos_yielding": 3.2395568406260242,
      "deflection": 0.016922295619341568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1078": {
      "node_id": "node_1078",
      "content": "MODIFICATION: Increase 19 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 135.41 kg\n  Factor of Safety: 1.09\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": 135.4087468843438,
      "fos_buckling": 1.0863448963596307,
      "fos_yielding": 3.2396143702221347,
      "deflection": 0.016744548550871943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.427)"
      },
      "parent_node_id": "node_1077",
      "improvement_over_parent": null
    },
    "node_1079": {
      "node_id": "node_1079",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 161.65 kg\n  Factor of Safety: 1.27\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": 161.65234613594947,
      "fos_buckling": 1.2658112670713513,
      "fos_yielding": 3.864460394029433,
      "deflection": 0.014080980924026163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1078",
      "improvement_over_parent": null
    },
    "node_1080": {
      "node_id": "node_1080",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.20 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.2040553796129,
      "fos_buckling": 1.529654355174824,
      "fos_yielding": 4.851715203746384,
      "deflection": 0.011270771859111078,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1079",
      "improvement_over_parent": null
    },
    "node_1081": {
      "node_id": "node_1081",
      "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.56053384810355,
      "fos_buckling": 1.5295657981833999,
      "fos_yielding": 4.833386987479036,
      "deflection": 0.011234393156956119,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.232)"
      },
      "parent_node_id": "node_1080",
      "improvement_over_parent": null
    },
    "node_1082": {
      "node_id": "node_1082",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1081",
      "improvement_over_parent": null
    },
    "node_1083": {
      "node_id": "node_1083",
      "content": "INITIAL DESIGN (Trace 156)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 120.07 kg\n  Factor of Safety: 0.77\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": 120.07284665632757,
      "fos_buckling": 0.7691693129387618,
      "fos_yielding": 3.160052190437604,
      "deflection": 0.01926475602910688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1084": {
      "node_id": "node_1084",
      "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 122.03 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.03299763157874,
      "fos_buckling": 0.7685379052742021,
      "fos_yielding": 3.160052190437605,
      "deflection": 0.019157703316736736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.534)"
      },
      "parent_node_id": "node_1083",
      "improvement_over_parent": null
    },
    "node_1085": {
      "node_id": "node_1085",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 137.54 kg\n  Factor of Safety: 0.85\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": 137.54051414366654,
      "fos_buckling": 0.8518553952781056,
      "fos_yielding": 3.561312972125997,
      "deflection": 0.017039351879057932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1084",
      "improvement_over_parent": null
    },
    "node_1086": {
      "node_id": "node_1086",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n  Mass: 141.20 kg\n  Factor of Safety: 1.12\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": 141.20190532847553,
      "fos_buckling": 1.1200350913407067,
      "fos_yielding": 3.341977400224557,
      "deflection": 0.01612560471191953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002824)"
      },
      "parent_node_id": "node_1085",
      "improvement_over_parent": null
    },
    "node_1087": {
      "node_id": "node_1087",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n  Mass: 161.72 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.72434429470457,
      "fos_buckling": 1.258906289370879,
      "fos_yielding": 3.8255989404157713,
      "deflection": 0.014121694655998026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1086",
      "improvement_over_parent": null
    },
    "node_1088": {
      "node_id": "node_1088",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.45211635001314,
      "fos_buckling": 1.5288620617753401,
      "fos_yielding": 4.830795754709394,
      "deflection": 0.01124026180157839,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1087",
      "improvement_over_parent": null
    },
    "node_1089": {
      "node_id": "node_1089",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1088",
      "improvement_over_parent": null
    },
    "node_1090": {
      "node_id": "node_1090",
      "content": "INITIAL DESIGN (Trace 157)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 117.68 kg\n  Factor of Safety: 0.18\n  Max Deflection: 5.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.67743756590326,
      "fos_buckling": 0.18466988629146835,
      "fos_yielding": 0.8782524711611266,
      "deflection": 0.05591575256319347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1091": {
      "node_id": "node_1091",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n  Mass: 126.02 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.01590784129186,
      "fos_buckling": 0.19677555456540644,
      "fos_yielding": 0.931367033978663,
      "deflection": 0.05037594984084299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003865)"
      },
      "parent_node_id": "node_1090",
      "improvement_over_parent": null
    },
    "node_1092": {
      "node_id": "node_1092",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 152.05 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.0524329012434,
      "fos_buckling": 0.23095536872573602,
      "fos_yielding": 1.1203401151348482,
      "deflection": 0.041888873209501944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1091",
      "improvement_over_parent": null
    },
    "node_1093": {
      "node_id": "node_1093",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 189.58 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.58233045712947,
      "fos_buckling": 0.2764337517599792,
      "fos_yielding": 1.390693945149826,
      "deflection": 0.03375719840186157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1092",
      "improvement_over_parent": null
    },
    "node_1094": {
      "node_id": "node_1094",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76688447203088,
      "fos_buckling": 1.530830131570377,
      "fos_yielding": 4.8384806414053845,
      "deflection": 0.011223825185742903,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1093",
      "improvement_over_parent": null
    },
    "node_1095": {
      "node_id": "node_1095",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 158)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_1097": {
      "node_id": "node_1097",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 183.79 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.79026527767735,
      "fos_buckling": 0.3375786165377022,
      "fos_yielding": 1.416068225706793,
      "deflection": 0.03197591062686265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1096",
      "improvement_over_parent": null
    },
    "node_1098": {
      "node_id": "node_1098",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 196.28 kg\n  Factor of Safety: 0.89\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": 196.2780723546941,
      "fos_buckling": 0.8935009240514529,
      "fos_yielding": 5.161214335953999,
      "deflection": 0.012708204160949386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_1097",
      "improvement_over_parent": null
    },
    "node_1099": {
      "node_id": "node_1099",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 199.39 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.39345025441452,
      "fos_buckling": 1.1534443958336982,
      "fos_yielding": 5.161214335953997,
      "deflection": 0.011868028676826143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1098",
      "improvement_over_parent": null
    },
    "node_1100": {
      "node_id": "node_1100",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.701495731409,
      "fos_buckling": 1.5304009441853288,
      "fos_yielding": 4.836781265114335,
      "deflection": 0.011226791446805549,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1099",
      "improvement_over_parent": null
    },
    "node_1101": {
      "node_id": "node_1101",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1100",
      "improvement_over_parent": null
    },
    "node_1102": {
      "node_id": "node_1102",
      "content": "INITIAL DESIGN (Trace 159)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 126.54 kg\n  Factor of Safety: 0.17\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": 126.54162230305523,
      "fos_buckling": 0.170859717486085,
      "fos_yielding": 3.159023795279272,
      "deflection": 0.017649752662935784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1103": {
      "node_id": "node_1103",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n  Mass: 134.02 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.02255562138,
      "fos_buckling": 1.070070034747434,
      "fos_yielding": 3.1727908747309526,
      "deflection": 0.016970983651866563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003629)"
      },
      "parent_node_id": "node_1102",
      "improvement_over_parent": null
    },
    "node_1104": {
      "node_id": "node_1104",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 157.55 kg\n  Factor of Safety: 1.23\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": 157.55016790470424,
      "fos_buckling": 1.2311848677243649,
      "fos_yielding": 3.727419665669656,
      "deflection": 0.014486526748006497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1103",
      "improvement_over_parent": null
    },
    "node_1105": {
      "node_id": "node_1105",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6336902733165,
      "fos_buckling": 1.5299983698500288,
      "fos_yielding": 4.835244965605659,
      "deflection": 0.011230235170231903,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1104",
      "improvement_over_parent": null
    },
    "node_1106": {
      "node_id": "node_1106",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1105",
      "improvement_over_parent": null
    },
    "node_1107": {
      "node_id": "node_1107",
      "content": "INITIAL DESIGN (Trace 160)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.61 kg\n  Factor of Safety: 1.15\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": 194.60935346623103,
      "fos_buckling": 1.1548619622770586,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.011766789795183455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1108": {
      "node_id": "node_1108",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.80 kg\n  Factor of Safety: 1.15\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": 194.79592185508642,
      "fos_buckling": 1.1547554260056667,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.01172843048175535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.218)"
      },
      "parent_node_id": "node_1107",
      "improvement_over_parent": null
    },
    "node_1109": {
      "node_id": "node_1109",
      "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.91 kg\n  Factor of Safety: 1.15\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": 196.91432782793524,
      "fos_buckling": 1.1541509609922627,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.011864180061586887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.250)"
      },
      "parent_node_id": "node_1108",
      "improvement_over_parent": null
    },
    "node_1110": {
      "node_id": "node_1110",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6959763401877,
      "fos_buckling": 1.5303908210881787,
      "fos_yielding": 4.836782051344441,
      "deflection": 0.01122652433564855,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1109",
      "improvement_over_parent": null
    },
    "node_1111": {
      "node_id": "node_1111",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1110",
      "improvement_over_parent": null
    },
    "node_1112": {
      "node_id": "node_1112",
      "content": "INITIAL DESIGN (Trace 161)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 161.67 kg\n  Factor of Safety: 0.96\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": 161.6720327957582,
      "fos_buckling": 0.964965659895899,
      "fos_yielding": 3.985597194781899,
      "deflection": 0.013488615494183311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1113": {
      "node_id": "node_1113",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 163.72 kg\n  Factor of Safety: 1.03\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": 163.7160314106462,
      "fos_buckling": 1.0276280889977096,
      "fos_yielding": 4.0124785337192685,
      "deflection": 0.013309412568626286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.266)"
      },
      "parent_node_id": "node_1112",
      "improvement_over_parent": null
    },
    "node_1114": {
      "node_id": "node_1114",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 198.97 kg\n  Factor of Safety: 1.23\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": 198.97265023531298,
      "fos_buckling": 1.231070800697189,
      "fos_yielding": 4.870096352521125,
      "deflection": 0.01101665420212978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1113",
      "improvement_over_parent": null
    },
    "node_1115": {
      "node_id": "node_1115",
      "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.86 kg\n  Factor of Safety: 1.23\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": 200.85676607213958,
      "fos_buckling": 1.233546442816025,
      "fos_yielding": 4.834668386369267,
      "deflection": 0.010945485626923745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.603)"
      },
      "parent_node_id": "node_1114",
      "improvement_over_parent": null
    },
    "node_1116": {
      "node_id": "node_1116",
      "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69818203630695,
      "fos_buckling": 1.530369517943222,
      "fos_yielding": 4.836598851366985,
      "deflection": 0.01122743933825903,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.555)"
      },
      "parent_node_id": "node_1115",
      "improvement_over_parent": null
    },
    "node_1117": {
      "node_id": "node_1117",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1116",
      "improvement_over_parent": null
    },
    "node_1118": {
      "node_id": "node_1118",
      "content": "INITIAL DESIGN (Trace 162)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 130.42 kg\n  Factor of Safety: 0.18\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": 130.42308577746743,
      "fos_buckling": 0.18280830450356778,
      "fos_yielding": 2.698840979831317,
      "deflection": 0.016993549396473347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1119": {
      "node_id": "node_1119",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 131.88 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.88144278814548,
      "fos_buckling": 0.18134030280463911,
      "fos_yielding": 2.6988013909220983,
      "deflection": 0.016923604152767648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.212)"
      },
      "parent_node_id": "node_1118",
      "improvement_over_parent": null
    },
    "node_1120": {
      "node_id": "node_1120",
      "content": "MODIFICATION: Increase 12 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.15 kg\n  Factor of Safety: 0.18\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": 133.14891114597881,
      "fos_buckling": 0.18134030280463928,
      "fos_yielding": 3.376270197354278,
      "deflection": 0.016712355319154118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.572)"
      },
      "parent_node_id": "node_1119",
      "improvement_over_parent": null
    },
    "node_1121": {
      "node_id": "node_1121",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 135.26 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.2643558699123,
      "fos_buckling": 0.18130832889338294,
      "fos_yielding": 3.3762157313641934,
      "deflection": 0.01652380444968485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.499)"
      },
      "parent_node_id": "node_1120",
      "improvement_over_parent": null
    },
    "node_1122": {
      "node_id": "node_1122",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n  Mass: 143.26 kg\n  Factor of Safety: 1.13\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": 143.26275524446734,
      "fos_buckling": 1.1342225986306256,
      "fos_yielding": 3.3908802744319595,
      "deflection": 0.015897873457752825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003896)"
      },
      "parent_node_id": "node_1121",
      "improvement_over_parent": null
    },
    "node_1123": {
      "node_id": "node_1123",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n  Mass: 175.74 kg\n  Factor of Safety: 1.35\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": 175.73676596963367,
      "fos_buckling": 1.350246236347044,
      "fos_yielding": 4.15588105916447,
      "deflection": 0.013021876700715222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1122",
      "improvement_over_parent": null
    },
    "node_1124": {
      "node_id": "node_1124",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69330582334683,
      "fos_buckling": 1.5302651361781607,
      "fos_yielding": 4.836895616042579,
      "deflection": 0.011227024239476168,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1123",
      "improvement_over_parent": null
    },
    "node_1125": {
      "node_id": "node_1125",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1124",
      "improvement_over_parent": null
    },
    "node_1126": {
      "node_id": "node_1126",
      "content": "INITIAL DESIGN (Trace 163)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 147.58 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.58404648418912,
      "fos_buckling": 0.42892336194365993,
      "fos_yielding": 2.9215687707981397,
      "deflection": 0.02260203145253481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1127": {
      "node_id": "node_1127",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 172.91 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.9068702765678,
      "fos_buckling": 0.4883528715703347,
      "fos_yielding": 3.4166699940585303,
      "deflection": 0.019339198120314136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1126",
      "improvement_over_parent": null
    },
    "node_1128": {
      "node_id": "node_1128",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.76 kg\n  Factor of Safety: 1.16\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": 193.7550817655463,
      "fos_buckling": 1.1555516054676112,
      "fos_yielding": 5.163555394688253,
      "deflection": 0.012327051182941112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1127",
      "improvement_over_parent": null
    },
    "node_1129": {
      "node_id": "node_1129",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 194.47 kg\n  Factor of Safety: 1.16\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": 194.47121359201995,
      "fos_buckling": 1.1552787983998443,
      "fos_yielding": 5.163555394688254,
      "deflection": 0.012307008954386354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1128",
      "improvement_over_parent": null
    },
    "node_1130": {
      "node_id": "node_1130",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 197.99 kg\n  Factor of Safety: 1.15\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": 197.9920224720987,
      "fos_buckling": 1.1542739838415568,
      "fos_yielding": 5.1635553946882515,
      "deflection": 0.011827475770136148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.309)"
      },
      "parent_node_id": "node_1129",
      "improvement_over_parent": null
    },
    "node_1131": {
      "node_id": "node_1131",
      "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0078)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 200.83 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.82948528912704,
      "fos_buckling": 1.1540043508469406,
      "fos_yielding": 5.163555394688253,
      "deflection": 0.011770016206707758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.230)"
      },
      "parent_node_id": "node_1130",
      "improvement_over_parent": null
    },
    "node_1132": {
      "node_id": "node_1132",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0078)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 206.14 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.13753076612153,
      "fos_buckling": 1.5084154899466398,
      "fos_yielding": 4.839881076038496,
      "deflection": 0.011130110839832648,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1131",
      "improvement_over_parent": null
    },
    "node_1133": {
      "node_id": "node_1133",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1132",
      "improvement_over_parent": null
    },
    "node_1134": {
      "node_id": "node_1134",
      "content": "INITIAL DESIGN (Trace 164)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 91.52 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 91.5245004846854,
      "fos_buckling": 0.37334578273216806,
      "fos_yielding": 2.3663355197332865,
      "deflection": 0.02954511827422151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1135": {
      "node_id": "node_1135",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 101.91 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.66e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.91454675096898,
      "fos_buckling": 0.4114378421730896,
      "fos_yielding": 2.634179031023012,
      "deflection": 0.02657004254991936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1134",
      "improvement_over_parent": null
    },
    "node_1136": {
      "node_id": "node_1136",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 129.61 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.61157941758304,
      "fos_buckling": 0.5087597113388012,
      "fos_yielding": 3.3473950788820868,
      "deflection": 0.020969793378336703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1135",
      "improvement_over_parent": null
    },
    "node_1137": {
      "node_id": "node_1137",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n\nPerformance:\n  Mass: 136.27 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.26529608595078,
      "fos_buckling": 0.5084719311309129,
      "fos_yielding": 3.3472025676819155,
      "deflection": 0.01942848125593605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003848)"
      },
      "parent_node_id": "node_1136",
      "improvement_over_parent": null
    },
    "node_1138": {
      "node_id": "node_1138",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n  Mass: 168.13 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.12980013299233,
      "fos_buckling": 0.6078459557697938,
      "fos_yielding": 4.126264955929483,
      "deflection": 0.015812740172986003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1137",
      "improvement_over_parent": null
    },
    "node_1139": {
      "node_id": "node_1139",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 193.84 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.83857629736988,
      "fos_buckling": 0.6827271303738502,
      "fos_yielding": 4.753820597167554,
      "deflection": 0.0137619720408111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1138",
      "improvement_over_parent": null
    },
    "node_1140": {
      "node_id": "node_1140",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.85423317325686,
      "fos_buckling": 1.5313124721121028,
      "fos_yielding": 4.840734705947383,
      "deflection": 0.011218439548586076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1139",
      "improvement_over_parent": null
    },
    "node_1141": {
      "node_id": "node_1141",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1140",
      "improvement_over_parent": null
    },
    "node_1142": {
      "node_id": "node_1142",
      "content": "INITIAL DESIGN (Trace 165)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.99 kg\n  Factor of Safety: 0.91\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": 194.98663838278372,
      "fos_buckling": 0.9127874799606416,
      "fos_yielding": 4.82836085481953,
      "deflection": 0.01255444935001416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1143": {
      "node_id": "node_1143",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 198.10 kg\n  Factor of Safety: 1.31\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": 198.10201628250414,
      "fos_buckling": 1.305890593381691,
      "fos_yielding": 4.755148077587037,
      "deflection": 0.011395750731183962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1142",
      "improvement_over_parent": null
    },
    "node_1144": {
      "node_id": "node_1144",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 199.23 kg\n  Factor of Safety: 1.33\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": 199.22866410279076,
      "fos_buckling": 1.3257529791504232,
      "fos_yielding": 4.800862906518824,
      "deflection": 0.0114478483215471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_1143",
      "improvement_over_parent": null
    },
    "node_1145": {
      "node_id": "node_1145",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 201.12 kg\n  Factor of Safety: 1.33\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": 201.12276612551383,
      "fos_buckling": 1.3255634106562684,
      "fos_yielding": 4.800973723752763,
      "deflection": 0.011379259863623264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.420)"
      },
      "parent_node_id": "node_1144",
      "improvement_over_parent": null
    },
    "node_1146": {
      "node_id": "node_1146",
      "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0079)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.84 kg\n  Factor of Safety: 1.32\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": 204.84351591216532,
      "fos_buckling": 1.3221084913021528,
      "fos_yielding": 4.801980517698624,
      "deflection": 0.011554366508971818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.372)"
      },
      "parent_node_id": "node_1145",
      "improvement_over_parent": null
    },
    "node_1147": {
      "node_id": "node_1147",
      "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0050)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0079)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 206.96 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.955202149812,
      "fos_buckling": 1.3280233179877063,
      "fos_yielding": 4.797558293209014,
      "deflection": 0.011511094402679537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.325)"
      },
      "parent_node_id": "node_1146",
      "improvement_over_parent": null
    },
    "node_1148": {
      "node_id": "node_1148",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1147",
      "improvement_over_parent": null
    },
    "node_1149": {
      "node_id": "node_1149",
      "content": "INITIAL DESIGN (Trace 166)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 150.44 kg\n  Factor of Safety: 0.43\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": 150.43714401860018,
      "fos_buckling": 0.4302135477555531,
      "fos_yielding": 2.9330419955020415,
      "deflection": 0.021890794234895348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1150": {
      "node_id": "node_1150",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 168.32 kg\n  Factor of Safety: 1.02\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": 168.3229204460934,
      "fos_buckling": 1.0220816409278262,
      "fos_yielding": 4.429254692903324,
      "deflection": 0.01382813596934862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006546)"
      },
      "parent_node_id": "node_1149",
      "improvement_over_parent": null
    },
    "node_1151": {
      "node_id": "node_1151",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.21 kg\n  Factor of Safety: 1.15\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": 196.21103642141856,
      "fos_buckling": 1.154452598664329,
      "fos_yielding": 5.162435774415835,
      "deflection": 0.011913614139455339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1150",
      "improvement_over_parent": null
    },
    "node_1152": {
      "node_id": "node_1152",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 196.93 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.9271682478922,
      "fos_buckling": 1.154180216582147,
      "fos_yielding": 5.162435774415835,
      "deflection": 0.011864016037388007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1151",
      "improvement_over_parent": null
    },
    "node_1153": {
      "node_id": "node_1153",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70881676014469,
      "fos_buckling": 1.530504288580391,
      "fos_yielding": 4.836952431316094,
      "deflection": 0.011226382700033665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1152",
      "improvement_over_parent": null
    },
    "node_1154": {
      "node_id": "node_1154",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1153",
      "improvement_over_parent": null
    },
    "node_1155": {
      "node_id": "node_1155",
      "content": "INITIAL DESIGN (Trace 167)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 138.06 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.06212536183415,
      "fos_buckling": 0.9729375956271488,
      "fos_yielding": 3.3296282100114203,
      "deflection": 0.016481313531043314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1156": {
      "node_id": "node_1156",
      "content": "MODIFICATION: Increase 20 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 140.67 kg\n  Factor of Safety: 1.12\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": 140.66760508611003,
      "fos_buckling": 1.116467072665104,
      "fos_yielding": 3.329439050767688,
      "deflection": 0.016185305172489214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.236)"
      },
      "parent_node_id": "node_1155",
      "improvement_over_parent": null
    },
    "node_1157": {
      "node_id": "node_1157",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 174.91 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.91319820593117,
      "fos_buckling": 1.3451352080593275,
      "fos_yielding": 4.136193376218931,
      "deflection": 0.013081851438570886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1156",
      "improvement_over_parent": null
    },
    "node_1158": {
      "node_id": "node_1158",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8473513852119,
      "fos_buckling": 1.531392982302328,
      "fos_yielding": 4.840167483384037,
      "deflection": 0.011219029662849933,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1157",
      "improvement_over_parent": null
    },
    "node_1159": {
      "node_id": "node_1159",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1158",
      "improvement_over_parent": null
    },
    "node_1160": {
      "node_id": "node_1160",
      "content": "INITIAL DESIGN (Trace 168)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 108.98 kg\n  Factor of Safety: 0.21\n  Max Deflection: 5.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.98399760052419,
      "fos_buckling": 0.21460672293367808,
      "fos_yielding": 0.9001090333273539,
      "deflection": 0.05498288239981209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1161": {
      "node_id": "node_1161",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 135.37 kg\n  Factor of Safety: 0.26\n  Max Deflection: 4.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.36672442220143,
      "fos_buckling": 0.25914484331900356,
      "fos_yielding": 1.1166516130441337,
      "deflection": 0.04442275799175493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1160",
      "improvement_over_parent": null
    },
    "node_1162": {
      "node_id": "node_1162",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 163.12 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.12293595935617,
      "fos_buckling": 0.30296236826480594,
      "fos_yielding": 1.3441661441361745,
      "deflection": 0.036998020033931836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1161",
      "improvement_over_parent": null
    },
    "node_1163": {
      "node_id": "node_1163",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n  Mass: 174.05 kg\n  Factor of Safety: 1.04\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": 174.0487694520129,
      "fos_buckling": 1.037735261892436,
      "fos_yielding": 4.515643870219305,
      "deflection": 0.013537292491064352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005590)"
      },
      "parent_node_id": "node_1162",
      "improvement_over_parent": null
    },
    "node_1164": {
      "node_id": "node_1164",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 178.69 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.6922265023216,
      "fos_buckling": 1.3714588419452802,
      "fos_yielding": 4.231606096894345,
      "deflection": 0.01280484132676352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003644)"
      },
      "parent_node_id": "node_1163",
      "improvement_over_parent": null
    },
    "node_1165": {
      "node_id": "node_1165",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0044)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 179.22 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.21560541562113,
      "fos_buckling": 1.3821153937082487,
      "fos_yielding": 4.2310974190108945,
      "deflection": 0.012794857192002233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.212)"
      },
      "parent_node_id": "node_1164",
      "improvement_over_parent": null
    },
    "node_1166": {
      "node_id": "node_1166",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.82001230764922,
      "fos_buckling": 1.54160727865249,
      "fos_yielding": 4.8324694602514215,
      "deflection": 0.011236745894281076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1165",
      "improvement_over_parent": null
    },
    "node_1167": {
      "node_id": "node_1167",
      "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 207.41 kg\n  Factor of Safety: 1.56\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 207.41239240725577,
      "fos_buckling": 1.5552693889175424,
      "fos_yielding": 4.832635838758699,
      "deflection": 0.011150446322080787,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.585)"
      },
      "parent_node_id": "node_1166",
      "improvement_over_parent": null
    },
    "node_1168": {
      "node_id": "node_1168",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1167",
      "improvement_over_parent": null
    },
    "node_1169": {
      "node_id": "node_1169",
      "content": "INITIAL DESIGN (Trace 169)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n\nPerformance:\n  Mass: 70.44 kg\n  Factor of Safety: 0.16\n  Max Deflection: 8.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 70.44484810025685,
      "fos_buckling": 0.15620224025029708,
      "fos_yielding": 0.7905071507617143,
      "deflection": 0.08034696485207529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1170": {
      "node_id": "node_1170",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n\nPerformance:\n  Mass: 75.58 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.45e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 75.57823772628801,
      "fos_buckling": 0.22387479358345555,
      "fos_yielding": 1.4117256495437078,
      "deflection": 0.044475364560570455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.002519)"
      },
      "parent_node_id": "node_1169",
      "improvement_over_parent": null
    },
    "node_1171": {
      "node_id": "node_1171",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n\nPerformance:\n  Mass: 93.47 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.46520102459077,
      "fos_buckling": 0.27204393668264537,
      "fos_yielding": 1.744082521100998,
      "deflection": 0.03602544245627424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1170",
      "improvement_over_parent": null
    },
    "node_1172": {
      "node_id": "node_1172",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n\nPerformance:\n  Mass: 109.10 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.09e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.09912657542108,
      "fos_buckling": 0.3126506829902943,
      "fos_yielding": 2.034029442676921,
      "deflection": 0.030909099876964864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1171",
      "improvement_over_parent": null
    },
    "node_1173": {
      "node_id": "node_1173",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n\nPerformance:\n  Mass: 126.77 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.76513465216028,
      "fos_buckling": 0.3568646976540371,
      "fos_yielding": 2.3610518431063037,
      "deflection": 0.026646445474757113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1172",
      "improvement_over_parent": null
    },
    "node_1174": {
      "node_id": "node_1174",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 141.15 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.15043228450259,
      "fos_buckling": 1.1202482383132037,
      "fos_yielding": 3.340613728392231,
      "deflection": 0.016131254631934655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005183)"
      },
      "parent_node_id": "node_1173",
      "improvement_over_parent": null
    },
    "node_1175": {
      "node_id": "node_1175",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 181.39 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.39279662259628,
      "fos_buckling": 1.3870334735370466,
      "fos_yielding": 4.288408691919424,
      "deflection": 0.012626614233814398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1174",
      "improvement_over_parent": null
    },
    "node_1176": {
      "node_id": "node_1176",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.50720585870593,
      "fos_buckling": 1.5298800823641365,
      "fos_yielding": 4.831881073562741,
      "deflection": 0.011237249063786921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1175",
      "improvement_over_parent": null
    },
    "node_1177": {
      "node_id": "node_1177",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1176",
      "improvement_over_parent": null
    },
    "node_1178": {
      "node_id": "node_1178",
      "content": "INITIAL DESIGN (Trace 170)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 179.83 kg\n  Factor of Safety: 1.27\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": 179.82797894854778,
      "fos_buckling": 1.2656661049186597,
      "fos_yielding": 4.331664041235674,
      "deflection": 0.012439262394309623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1179": {
      "node_id": "node_1179",
      "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 181.64 kg\n  Factor of Safety: 1.35\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": 181.6437225652105,
      "fos_buckling": 1.3532935326654183,
      "fos_yielding": 4.332586137362429,
      "deflection": 0.01259003261006642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.235)"
      },
      "parent_node_id": "node_1178",
      "improvement_over_parent": null
    },
    "node_1180": {
      "node_id": "node_1180",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 181.81 kg\n  Factor of Safety: 1.35\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": 181.81179016187704,
      "fos_buckling": 1.3510381779432403,
      "fos_yielding": 4.332158661132944,
      "deflection": 0.01257482540795511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.387)"
      },
      "parent_node_id": "node_1179",
      "improvement_over_parent": null
    },
    "node_1181": {
      "node_id": "node_1181",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 182.67 kg\n  Factor of Safety: 1.39\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": 182.66657302277105,
      "fos_buckling": 1.3944890796575642,
      "fos_yielding": 4.31875139422083,
      "deflection": 0.01254080342482224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.239)"
      },
      "parent_node_id": "node_1180",
      "improvement_over_parent": null
    },
    "node_1182": {
      "node_id": "node_1182",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7749999156256,
      "fos_buckling": 1.53084830441081,
      "fos_yielding": 4.8385895580114235,
      "deflection": 0.011222909454661019,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1181",
      "improvement_over_parent": null
    },
    "node_1183": {
      "node_id": "node_1183",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1182",
      "improvement_over_parent": null
    },
    "node_1184": {
      "node_id": "node_1184",
      "content": "INITIAL DESIGN (Trace 171)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 142.49 kg\n  Factor of Safety: 0.67\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": 142.4944486553095,
      "fos_buckling": 0.667211197203354,
      "fos_yielding": 3.4360455389724494,
      "deflection": 0.01745685303038709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1185": {
      "node_id": "node_1185",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.82 kg\n  Factor of Safety: 0.75\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": 163.81776192725846,
      "fos_buckling": 0.7538528228187965,
      "fos_yielding": 3.9479380308437872,
      "deflection": 0.0152127104048504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1184",
      "improvement_over_parent": null
    },
    "node_1186": {
      "node_id": "node_1186",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.42 kg\n  Factor of Safety: 0.90\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": 201.417968710244,
      "fos_buckling": 0.8981848163203915,
      "fos_yielding": 4.849134185898203,
      "deflection": 0.01241317648246989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1185",
      "improvement_over_parent": null
    },
    "node_1187": {
      "node_id": "node_1187",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5333466099644,
      "fos_buckling": 1.5294364877562505,
      "fos_yielding": 4.832787330151932,
      "deflection": 0.011235840851743863,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1186",
      "improvement_over_parent": null
    },
    "node_1188": {
      "node_id": "node_1188",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1187",
      "improvement_over_parent": null
    },
    "node_1189": {
      "node_id": "node_1189",
      "content": "INITIAL DESIGN (Trace 172)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 135.64 kg\n  Factor of Safety: 0.84\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": 135.6387039676358,
      "fos_buckling": 0.8392827428702266,
      "fos_yielding": 2.8739822607813554,
      "deflection": 0.017739414599232305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1190": {
      "node_id": "node_1190",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 136.45 kg\n  Factor of Safety: 0.84\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": 136.4520105167794,
      "fos_buckling": 0.8392827428702264,
      "fos_yielding": 3.532666085851128,
      "deflection": 0.017636497643651917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.253)"
      },
      "parent_node_id": "node_1189",
      "improvement_over_parent": null
    },
    "node_1191": {
      "node_id": "node_1191",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 169.28 kg\n  Factor of Safety: 1.01\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": 169.28472410645531,
      "fos_buckling": 1.006813728799189,
      "fos_yielding": 4.377517888982686,
      "deflection": 0.014278387457910012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1190",
      "improvement_over_parent": null
    },
    "node_1192": {
      "node_id": "node_1192",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 181.82 kg\n  Factor of Safety: 1.40\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": 181.82415211833995,
      "fos_buckling": 1.3982961955256326,
      "fos_yielding": 4.37868278798819,
      "deflection": 0.012904146212440052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005648)"
      },
      "parent_node_id": "node_1191",
      "improvement_over_parent": null
    },
    "node_1193": {
      "node_id": "node_1193",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 184.83 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.83373067364397,
      "fos_buckling": 1.4081775374865966,
      "fos_yielding": 4.36999326160417,
      "deflection": 0.012397801737217514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.422)"
      },
      "parent_node_id": "node_1192",
      "improvement_over_parent": null
    },
    "node_1194": {
      "node_id": "node_1194",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.513976037023,
      "fos_buckling": 1.5292971207585944,
      "fos_yielding": 4.832737510026394,
      "deflection": 0.011236915311604699,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1193",
      "improvement_over_parent": null
    },
    "node_1195": {
      "node_id": "node_1195",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 173)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n  Mass: 85.41 kg\n  Factor of Safety: 0.14\n  Max Deflection: 7.45e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.40643751445766,
      "fos_buckling": 0.14084682828736123,
      "fos_yielding": 0.6255480062500784,
      "deflection": 0.07449884545742051,
      "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 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 109.79 kg\n  Factor of Safety: 0.18\n  Max Deflection: 5.81e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.79160877597931,
      "fos_buckling": 0.17649854794906558,
      "fos_yielding": 0.8019453873446653,
      "deflection": 0.05812748920695108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1196",
      "improvement_over_parent": null
    },
    "node_1198": {
      "node_id": "node_1198",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 136.68 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.68e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.68336269559617,
      "fos_buckling": 0.21351545948395598,
      "fos_yielding": 0.9953658351751398,
      "deflection": 0.04684606754268251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1197",
      "improvement_over_parent": null
    },
    "node_1199": {
      "node_id": "node_1199",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 158.48 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.475017385318,
      "fos_buckling": 0.24176322159639554,
      "fos_yielding": 1.1512624983663005,
      "deflection": 0.040512372272070864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1198",
      "improvement_over_parent": null
    },
    "node_1200": {
      "node_id": "node_1200",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.79 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.79214564795024,
      "fos_buckling": 0.276159068024551,
      "fos_yielding": 1.3527351290511491,
      "deflection": 0.034489671576975904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1199",
      "improvement_over_parent": null
    },
    "node_1201": {
      "node_id": "node_1201",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 201.98 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.97669966285164,
      "fos_buckling": 1.3434417925925124,
      "fos_yielding": 4.8230805941866235,
      "deflection": 0.011652652282976312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1200",
      "improvement_over_parent": null
    },
    "node_1202": {
      "node_id": "node_1202",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.38691629337868,
      "fos_buckling": 1.5283083033580993,
      "fos_yielding": 4.828741788326026,
      "deflection": 0.011241036317492152,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.263)"
      },
      "parent_node_id": "node_1201",
      "improvement_over_parent": null
    },
    "node_1203": {
      "node_id": "node_1203",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1202",
      "improvement_over_parent": null
    },
    "node_1204": {
      "node_id": "node_1204",
      "content": "INITIAL DESIGN (Trace 174)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 144.24 kg\n  Factor of Safety: 0.24\n  Max Deflection: 7.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.24315148643964,
      "fos_buckling": 0.23738191032140296,
      "fos_yielding": 0.5413910316026456,
      "deflection": 0.07601703426069539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1205": {
      "node_id": "node_1205",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 156.79 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.79138501330166,
      "fos_buckling": 0.28896815185551283,
      "fos_yielding": 1.727329907251584,
      "deflection": 0.033955868847881474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005795)"
      },
      "parent_node_id": "node_1204",
      "improvement_over_parent": null
    },
    "node_1206": {
      "node_id": "node_1206",
      "content": "MODIFICATION: Increase 18 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0078)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 160.48 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.47688327381238,
      "fos_buckling": 0.28887868721591087,
      "fos_yielding": 1.7325653763081457,
      "deflection": 0.03372444483967014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.235)"
      },
      "parent_node_id": "node_1205",
      "improvement_over_parent": null
    },
    "node_1207": {
      "node_id": "node_1207",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0078)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 170.80 kg\n  Factor of Safety: 1.35\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": 170.79754129646574,
      "fos_buckling": 1.3464270089172803,
      "fos_yielding": 4.000663395381727,
      "deflection": 0.01337448567716563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005256)"
      },
      "parent_node_id": "node_1206",
      "improvement_over_parent": null
    },
    "node_1208": {
      "node_id": "node_1208",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0095)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 206.50 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.50029233099156,
      "fos_buckling": 1.5713168100935475,
      "fos_yielding": 4.834016933047693,
      "deflection": 0.011119042621965742,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1207",
      "improvement_over_parent": null
    },
    "node_1209": {
      "node_id": "node_1209",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1208",
      "improvement_over_parent": null
    },
    "node_1210": {
      "node_id": "node_1210",
      "content": "INITIAL DESIGN (Trace 175)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 124.52 kg\n  Factor of Safety: 0.33\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": 124.52059930354552,
      "fos_buckling": 0.3309358567686074,
      "fos_yielding": 2.8563123066994014,
      "deflection": 0.02329613684004637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1211": {
      "node_id": "node_1211",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n\nPerformance:\n  Mass: 132.10 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.10147594922097,
      "fos_buckling": 0.3298874134685809,
      "fos_yielding": 2.854534421823722,
      "deflection": 0.020761550602544056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003757)"
      },
      "parent_node_id": "node_1210",
      "improvement_over_parent": null
    },
    "node_1212": {
      "node_id": "node_1212",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n  Mass: 161.01 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.0079152235012,
      "fos_buckling": 0.38920083100124436,
      "fos_yielding": 3.474027127172207,
      "deflection": 0.017111394553468634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1211",
      "improvement_over_parent": null
    },
    "node_1213": {
      "node_id": "node_1213",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n  Mass: 171.53 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.52697916061078,
      "fos_buckling": 1.324465198369679,
      "fos_yielding": 4.0571399814600015,
      "deflection": 0.013315896717737611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004955)"
      },
      "parent_node_id": "node_1212",
      "improvement_over_parent": null
    },
    "node_1214": {
      "node_id": "node_1214",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.4833958832787,
      "fos_buckling": 1.5305188198094535,
      "fos_yielding": 4.832381251652121,
      "deflection": 0.011223759622683554,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1213",
      "improvement_over_parent": null
    },
    "node_1215": {
      "node_id": "node_1215",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7064828709003,
      "fos_buckling": 1.5304290778191292,
      "fos_yielding": 4.836935724419562,
      "deflection": 0.01122652438009008,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.271)"
      },
      "parent_node_id": "node_1214",
      "improvement_over_parent": null
    },
    "node_1216": {
      "node_id": "node_1216",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1215",
      "improvement_over_parent": null
    },
    "node_1217": {
      "node_id": "node_1217",
      "content": "INITIAL DESIGN (Trace 176)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 116.14 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.13827030117324,
      "fos_buckling": 0.5539918883062318,
      "fos_yielding": 3.061347395032356,
      "deflection": 0.020543626983276848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1218": {
      "node_id": "node_1218",
      "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 118.22 kg\n  Factor of Safety: 0.75\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": 118.21646365590615,
      "fos_buckling": 0.7476758726020872,
      "fos_yielding": 3.061347395032356,
      "deflection": 0.019763682540571714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.408)"
      },
      "parent_node_id": "node_1217",
      "improvement_over_parent": null
    },
    "node_1219": {
      "node_id": "node_1219",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n  Mass: 121.36 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.36319808463107,
      "fos_buckling": 0.9800935023867019,
      "fos_yielding": 2.8740486556743883,
      "deflection": 0.01870663189748676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002406)"
      },
      "parent_node_id": "node_1218",
      "improvement_over_parent": null
    },
    "node_1220": {
      "node_id": "node_1220",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n  Mass: 142.03 kg\n  Factor of Safety: 1.13\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": 142.03475813606497,
      "fos_buckling": 1.1258096900959775,
      "fos_yielding": 3.361714641271393,
      "deflection": 0.016032711979103803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1219",
      "improvement_over_parent": null
    },
    "node_1221": {
      "node_id": "node_1221",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 171.92 kg\n  Factor of Safety: 1.33\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": 171.92283787086131,
      "fos_buckling": 1.3257137507611674,
      "fos_yielding": 4.0658534331505995,
      "deflection": 0.013303567060288853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1220",
      "improvement_over_parent": null
    },
    "node_1222": {
      "node_id": "node_1222",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63984582050202,
      "fos_buckling": 1.5300181875396224,
      "fos_yielding": 4.835347177621898,
      "deflection": 0.011230054831987123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1221",
      "improvement_over_parent": null
    },
    "node_1223": {
      "node_id": "node_1223",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1222",
      "improvement_over_parent": null
    },
    "node_1224": {
      "node_id": "node_1224",
      "content": "INITIAL DESIGN (Trace 177)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 122.76 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.33e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.76180329804042,
      "fos_buckling": 0.5240064699139858,
      "fos_yielding": 2.596938861601691,
      "deflection": 23300522360860.152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1225": {
      "node_id": "node_1225",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n\nPerformance:\n  Mass: 130.08 kg\n  Factor of Safety: 0.28\n  Max Deflection: 2.29e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.0846332096851,
      "fos_buckling": 0.2755665517774677,
      "fos_yielding": 1.9721688255087158,
      "deflection": 22935586218559.547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003934)"
      },
      "parent_node_id": "node_1224",
      "improvement_over_parent": null
    },
    "node_1226": {
      "node_id": "node_1226",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 134.17 kg\n  Factor of Safety: 0.16\n  Max Deflection: 2.38e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.16966279983455,
      "fos_buckling": 0.1596798754447315,
      "fos_yielding": 1.4583365635369276,
      "deflection": 23812050780341.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003174)"
      },
      "parent_node_id": "node_1225",
      "improvement_over_parent": null
    },
    "node_1227": {
      "node_id": "node_1227",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 145.86 kg\n  Factor of Safety: 0.56\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": 145.8554901428338,
      "fos_buckling": 0.5556756917178154,
      "fos_yielding": 3.6611871674615943,
      "deflection": 0.016127968969129953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005368)"
      },
      "parent_node_id": "node_1226",
      "improvement_over_parent": null
    },
    "node_1228": {
      "node_id": "node_1228",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 148.19 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.1883891153528,
      "fos_buckling": 0.5557870854538045,
      "fos_yielding": 3.661055617547224,
      "deflection": 0.01582581282403691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.250)"
      },
      "parent_node_id": "node_1227",
      "improvement_over_parent": null
    },
    "node_1229": {
      "node_id": "node_1229",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 148.74 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.73923735616853,
      "fos_buckling": 0.19702510080817212,
      "fos_yielding": 3.7109935080231597,
      "deflection": 0.0150454114471588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001503)"
      },
      "parent_node_id": "node_1228",
      "improvement_over_parent": null
    },
    "node_1230": {
      "node_id": "node_1230",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 193.19 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.19015977414477,
      "fos_buckling": 0.24608868937316877,
      "fos_yielding": 4.81429145451697,
      "deflection": 0.011629205595802536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1229",
      "improvement_over_parent": null
    },
    "node_1231": {
      "node_id": "node_1231",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6173599401844,
      "fos_buckling": 1.5298794852828115,
      "fos_yielding": 4.834764625870985,
      "deflection": 0.011231826317483947,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_1230",
      "improvement_over_parent": null
    },
    "node_1232": {
      "node_id": "node_1232",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1231",
      "improvement_over_parent": null
    },
    "node_1233": {
      "node_id": "node_1233",
      "content": "INITIAL DESIGN (Trace 178)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 155.02 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.01575508117205,
      "fos_buckling": 0.35267631829444845,
      "fos_yielding": 3.907647759795514,
      "deflection": 0.015857601047978478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1234": {
      "node_id": "node_1234",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.12 kg\n  Factor of Safety: 0.43\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": 195.11742055681978,
      "fos_buckling": 0.42603128103988724,
      "fos_yielding": 4.913366283618497,
      "deflection": 0.012668731152351006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1233",
      "improvement_over_parent": null
    },
    "node_1235": {
      "node_id": "node_1235",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63307837382013,
      "fos_buckling": 1.5313752306592805,
      "fos_yielding": 4.836074022672714,
      "deflection": 0.011216440405844437,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_1234",
      "improvement_over_parent": null
    },
    "node_1236": {
      "node_id": "node_1236",
      "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.84 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84206241769274,
      "fos_buckling": 1.5312918840741123,
      "fos_yielding": 4.840296300207098,
      "deflection": 0.011219006454804384,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.250)"
      },
      "parent_node_id": "node_1235",
      "improvement_over_parent": null
    },
    "node_1237": {
      "node_id": "node_1237",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1236",
      "improvement_over_parent": null
    },
    "node_1238": {
      "node_id": "node_1238",
      "content": "INITIAL DESIGN (Trace 179)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 116.47 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.46535267694759,
      "fos_buckling": 0.6758629877985056,
      "fos_yielding": 2.789143651556021,
      "deflection": 0.02045430859864556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1239": {
      "node_id": "node_1239",
      "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 120.25 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.24503642800839,
      "fos_buckling": 0.6760848642574079,
      "fos_yielding": 3.076883517443492,
      "deflection": 0.018444355847832158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.637)"
      },
      "parent_node_id": "node_1238",
      "improvement_over_parent": null
    },
    "node_1240": {
      "node_id": "node_1240",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 143.68 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.67579775638978,
      "fos_buckling": 0.7923245823913073,
      "fos_yielding": 3.67336430331686,
      "deflection": 0.015486061603267461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1239",
      "improvement_over_parent": null
    },
    "node_1241": {
      "node_id": "node_1241",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 144.21 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.21156724910404,
      "fos_buckling": 0.792472330384617,
      "fos_yielding": 3.6357226873308988,
      "deflection": 0.01486629408839043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001459)"
      },
      "parent_node_id": "node_1240",
      "improvement_over_parent": null
    },
    "node_1242": {
      "node_id": "node_1242",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 168.48 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.4763337706884,
      "fos_buckling": 0.9070981344030752,
      "fos_yielding": 4.243860362653121,
      "deflection": 0.012752847914593213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1241",
      "improvement_over_parent": null
    },
    "node_1243": {
      "node_id": "node_1243",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 192.59 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.58922052326307,
      "fos_buckling": 1.0156012463245632,
      "fos_yielding": 4.847126434232313,
      "deflection": 0.011180081430660712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1242",
      "improvement_over_parent": null
    },
    "node_1244": {
      "node_id": "node_1244",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 195.99 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.99233720671327,
      "fos_buckling": 1.015299580921896,
      "fos_yielding": 4.847009965141318,
      "deflection": 0.010828339725986276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.346)"
      },
      "parent_node_id": "node_1243",
      "improvement_over_parent": null
    },
    "node_1245": {
      "node_id": "node_1245",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60282623978716,
      "fos_buckling": 1.5297451238411115,
      "fos_yielding": 4.834298996518739,
      "deflection": 0.011232098909001832,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_1244",
      "improvement_over_parent": null
    },
    "node_1246": {
      "node_id": "node_1246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 180)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0017)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 97.94 kg\n  Factor of Safety: 0.17\n  Max Deflection: 2.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.94021320391481,
      "fos_buckling": 0.1720811235233995,
      "fos_yielding": 1.9555872807857826,
      "deflection": 0.028971105447809502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1248": {
      "node_id": "node_1248",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 126.51 kg\n  Factor of Safety: 0.22\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.51213425145549,
      "fos_buckling": 0.21835113608533283,
      "fos_yielding": 2.533846874312133,
      "deflection": 0.022516773466726613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1247",
      "improvement_over_parent": null
    },
    "node_1249": {
      "node_id": "node_1249",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 162.48 kg\n  Factor of Safety: 0.27\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": 162.47598741365178,
      "fos_buckling": 0.27413285084632205,
      "fos_yielding": 3.2678153209034932,
      "deflection": 0.017618568079042402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1248",
      "improvement_over_parent": null
    },
    "node_1250": {
      "node_id": "node_1250",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 164.10 kg\n  Factor of Safety: 0.27\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.10104703960266,
      "fos_buckling": 0.273948075122505,
      "fos_yielding": 3.2672363291615274,
      "deflection": 0.017537024985753425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.221)"
      },
      "parent_node_id": "node_1249",
      "improvement_over_parent": null
    },
    "node_1251": {
      "node_id": "node_1251",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 165.73 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.7262849451471,
      "fos_buckling": 0.4008992687662173,
      "fos_yielding": 3.2671875102083168,
      "deflection": 0.016576310529721375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.587)"
      },
      "parent_node_id": "node_1250",
      "improvement_over_parent": null
    },
    "node_1252": {
      "node_id": "node_1252",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.48 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.48112804704743,
      "fos_buckling": 0.4477043054089432,
      "fos_yielding": 3.7675224365944002,
      "deflection": 0.014478042227123738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1251",
      "improvement_over_parent": null
    },
    "node_1253": {
      "node_id": "node_1253",
      "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.24 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.23532955502057,
      "fos_buckling": 0.44770430540894324,
      "fos_yielding": 4.136610248078095,
      "deflection": 0.01435199575298342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.562)"
      },
      "parent_node_id": "node_1252",
      "improvement_over_parent": null
    },
    "node_1254": {
      "node_id": "node_1254",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77432189498987,
      "fos_buckling": 1.5308478458689798,
      "fos_yielding": 4.8388998026631125,
      "deflection": 0.011222734607295079,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1253",
      "improvement_over_parent": null
    },
    "node_1255": {
      "node_id": "node_1255",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1254",
      "improvement_over_parent": null
    },
    "node_1256": {
      "node_id": "node_1256",
      "content": "INITIAL DESIGN (Trace 181)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 171.25 kg\n  Factor of Safety: 0.96\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": 171.25105050110886,
      "fos_buckling": 0.9568323854903578,
      "fos_yielding": 2.6814904338235452,
      "deflection": 0.014181943931660014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1257": {
      "node_id": "node_1257",
      "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 173.18 kg\n  Factor of Safety: 1.15\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": 173.17581252988833,
      "fos_buckling": 1.154542563203054,
      "fos_yielding": 4.236534327792903,
      "deflection": 0.013987300614384648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.656)"
      },
      "parent_node_id": "node_1256",
      "improvement_over_parent": null
    },
    "node_1258": {
      "node_id": "node_1258",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 198.00 kg\n  Factor of Safety: 1.30\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": 197.9964329843313,
      "fos_buckling": 1.2968409823632128,
      "fos_yielding": 4.838685498285146,
      "deflection": 0.012266554746843737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1257",
      "improvement_over_parent": null
    },
    "node_1259": {
      "node_id": "node_1259",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.20 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.2038787517858,
      "fos_buckling": 1.5268388793724306,
      "fos_yielding": 4.836273922742786,
      "deflection": 0.011679813645142915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.294)"
      },
      "parent_node_id": "node_1258",
      "improvement_over_parent": null
    },
    "node_1260": {
      "node_id": "node_1260",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70209211013798,
      "fos_buckling": 1.5304649891153521,
      "fos_yielding": 4.8381955445773155,
      "deflection": 0.01122746046294637,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.307)"
      },
      "parent_node_id": "node_1259",
      "improvement_over_parent": null
    },
    "node_1261": {
      "node_id": "node_1261",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1260",
      "improvement_over_parent": null
    },
    "node_1262": {
      "node_id": "node_1262",
      "content": "INITIAL DESIGN (Trace 182)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 173.91 kg\n  Factor of Safety: 0.49\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": 173.91442632807966,
      "fos_buckling": 0.48792262578891654,
      "fos_yielding": 2.365246718468028,
      "deflection": 0.019401856823042987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1263": {
      "node_id": "node_1263",
      "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 176.68 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.67510890680032,
      "fos_buckling": 0.48788454990573193,
      "fos_yielding": 2.3651474246143396,
      "deflection": 0.019348942900286933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.603)"
      },
      "parent_node_id": "node_1262",
      "improvement_over_parent": null
    },
    "node_1264": {
      "node_id": "node_1264",
      "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 178.26 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.26453890536015,
      "fos_buckling": 0.48788454990573193,
      "fos_yielding": 3.4128414410110532,
      "deflection": 0.018599004618965978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.486)"
      },
      "parent_node_id": "node_1263",
      "improvement_over_parent": null
    },
    "node_1265": {
      "node_id": "node_1265",
      "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 181.56 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.55858311561047,
      "fos_buckling": 0.4877483022626294,
      "fos_yielding": 3.4123287106948514,
      "deflection": 0.01854876533699159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.580)"
      },
      "parent_node_id": "node_1264",
      "improvement_over_parent": null
    },
    "node_1266": {
      "node_id": "node_1266",
      "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.85 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8544396062419,
      "fos_buckling": 0.4877166595590475,
      "fos_yielding": 3.4122096131944737,
      "deflection": 0.018472999780393497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.403)"
      },
      "parent_node_id": "node_1265",
      "improvement_over_parent": null
    },
    "node_1267": {
      "node_id": "node_1267",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7026510952204,
      "fos_buckling": 1.5304043208709162,
      "fos_yielding": 4.836771714665794,
      "deflection": 0.011226871300889328,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1266",
      "improvement_over_parent": null
    },
    "node_1268": {
      "node_id": "node_1268",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1267",
      "improvement_over_parent": null
    },
    "node_1269": {
      "node_id": "node_1269",
      "content": "INITIAL DESIGN (Trace 183)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\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_1270": {
      "node_id": "node_1270",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 154.22 kg\n  Factor of Safety: 0.61\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": 154.22372442517715,
      "fos_buckling": 0.6084822443309378,
      "fos_yielding": 3.5350653418273565,
      "deflection": 0.02021657387732978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003616)"
      },
      "parent_node_id": "node_1269",
      "improvement_over_parent": null
    },
    "node_1271": {
      "node_id": "node_1271",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 156.52 kg\n  Factor of Safety: 0.61\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": 156.5205326729628,
      "fos_buckling": 0.6081269562698877,
      "fos_yielding": 3.5330183713031205,
      "deflection": 0.01992251321223826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.214)"
      },
      "parent_node_id": "node_1270",
      "improvement_over_parent": null
    },
    "node_1272": {
      "node_id": "node_1272",
      "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 159.02 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.0197940234238,
      "fos_buckling": 0.6079981904284785,
      "fos_yielding": 3.565361093623727,
      "deflection": 0.01801638505999677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.493)"
      },
      "parent_node_id": "node_1271",
      "improvement_over_parent": null
    },
    "node_1273": {
      "node_id": "node_1273",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 168.59 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.58886059456236,
      "fos_buckling": 1.0333715279235745,
      "fos_yielding": 4.485123598798696,
      "deflection": 0.01402601113412306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004823)"
      },
      "parent_node_id": "node_1272",
      "improvement_over_parent": null
    },
    "node_1274": {
      "node_id": "node_1274",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 175.35 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.34899312470813,
      "fos_buckling": 1.3624164833393901,
      "fos_yielding": 4.211696988040859,
      "deflection": 0.013302233882138678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004054)"
      },
      "parent_node_id": "node_1273",
      "improvement_over_parent": null
    },
    "node_1275": {
      "node_id": "node_1275",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 177.82 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.82146350695308,
      "fos_buckling": 1.363724321867812,
      "fos_yielding": 4.204886677475244,
      "deflection": 0.012873789799205566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.340)"
      },
      "parent_node_id": "node_1274",
      "improvement_over_parent": null
    },
    "node_1276": {
      "node_id": "node_1276",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69077906657807,
      "fos_buckling": 1.5303860796255322,
      "fos_yielding": 4.836770297518864,
      "deflection": 0.011227723224595684,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1275",
      "improvement_over_parent": null
    },
    "node_1277": {
      "node_id": "node_1277",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1276",
      "improvement_over_parent": null
    },
    "node_1278": {
      "node_id": "node_1278",
      "content": "INITIAL DESIGN (Trace 184)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0023)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 105.12 kg\n  Factor of Safety: 0.18\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": 105.12411684473567,
      "fos_buckling": 0.1797169337410871,
      "fos_yielding": 2.705269323454888,
      "deflection": 0.03222987201892676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1279": {
      "node_id": "node_1279",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 107.57 kg\n  Factor of Safety: 0.15\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": 107.56751645977506,
      "fos_buckling": 0.14983464049041098,
      "fos_yielding": 2.7052693234548895,
      "deflection": 0.03164218663755474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.555)"
      },
      "parent_node_id": "node_1278",
      "improvement_over_parent": null
    },
    "node_1280": {
      "node_id": "node_1280",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 125.75 kg\n  Factor of Safety: 0.17\n  Max Deflection: 2.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.74594995305718,
      "fos_buckling": 0.17247132969086051,
      "fos_yielding": 3.1612652083764177,
      "deflection": 0.027088942432889927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1279",
      "improvement_over_parent": null
    },
    "node_1281": {
      "node_id": "node_1281",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n\nPerformance:\n  Mass: 133.30 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.30080565031852,
      "fos_buckling": 0.6286956287925926,
      "fos_yielding": 3.215282476560151,
      "deflection": 0.01864609736950348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003667)"
      },
      "parent_node_id": "node_1280",
      "improvement_over_parent": null
    },
    "node_1282": {
      "node_id": "node_1282",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 159.51 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.5073081809959,
      "fos_buckling": 0.7365133180136388,
      "fos_yielding": 3.8446553215472483,
      "deflection": 0.015618106671996156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1281",
      "improvement_over_parent": null
    },
    "node_1283": {
      "node_id": "node_1283",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n  Mass: 177.75 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.75038295876826,
      "fos_buckling": 0.808483093550979,
      "fos_yielding": 4.282249994545048,
      "deflection": 0.014037347348107515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1282",
      "improvement_over_parent": null
    },
    "node_1284": {
      "node_id": "node_1284",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 180.50 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.49538454066865,
      "fos_buckling": 1.3807305815489561,
      "fos_yielding": 4.267824415855155,
      "deflection": 0.012687659288352443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003629)"
      },
      "parent_node_id": "node_1283",
      "improvement_over_parent": null
    },
    "node_1285": {
      "node_id": "node_1285",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80687016535055,
      "fos_buckling": 1.5310440830024883,
      "fos_yielding": 4.839514550048345,
      "deflection": 0.011221232749322985,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1284",
      "improvement_over_parent": null
    },
    "node_1286": {
      "node_id": "node_1286",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1285",
      "improvement_over_parent": null
    },
    "node_1287": {
      "node_id": "node_1287",
      "content": "INITIAL DESIGN (Trace 185)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 126.55 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.70e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.55183376382556,
      "fos_buckling": 0.2937360728187644,
      "fos_yielding": 2.336095758334563,
      "deflection": 0.02699263156772771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1288": {
      "node_id": "node_1288",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 127.10 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.66e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.09549320848235,
      "fos_buckling": 0.2937179317105599,
      "fos_yielding": 2.3359514813122644,
      "deflection": 0.026625265639840218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001482)"
      },
      "parent_node_id": "node_1287",
      "improvement_over_parent": null
    },
    "node_1289": {
      "node_id": "node_1289",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 148.10 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.09962458325938,
      "fos_buckling": 0.33742961854018766,
      "fos_yielding": 2.7263037937546004,
      "deflection": 0.02287799932774321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1288",
      "improvement_over_parent": null
    },
    "node_1290": {
      "node_id": "node_1290",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 152.80 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.7970921246211,
      "fos_buckling": 0.3373846895203538,
      "fos_yielding": 2.725940784254271,
      "deflection": 0.022526931769715982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003690)"
      },
      "parent_node_id": "node_1289",
      "improvement_over_parent": null
    },
    "node_1291": {
      "node_id": "node_1291",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 171.25 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.24689346646684,
      "fos_buckling": 0.9160504577899314,
      "fos_yielding": 4.292862333459637,
      "deflection": 0.012350866982118836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006770)"
      },
      "parent_node_id": "node_1290",
      "improvement_over_parent": null
    },
    "node_1292": {
      "node_id": "node_1292",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 173.06 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.05901670595102,
      "fos_buckling": 0.916050457789932,
      "fos_yielding": 4.962343450262282,
      "deflection": 0.012307647023656186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.395)"
      },
      "parent_node_id": "node_1291",
      "improvement_over_parent": null
    },
    "node_1293": {
      "node_id": "node_1293",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n\nPerformance:\n  Mass: 180.68 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.6796108625277,
      "fos_buckling": 1.2750434269096413,
      "fos_yielding": 5.002937891102786,
      "deflection": 0.012660627434592878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004351)"
      },
      "parent_node_id": "node_1292",
      "improvement_over_parent": null
    },
    "node_1294": {
      "node_id": "node_1294",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0079)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.18 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.17894067579806,
      "fos_buckling": 1.4194265176821026,
      "fos_yielding": 5.6475334319306825,
      "deflection": 0.011241068188352606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_1293",
      "improvement_over_parent": null
    },
    "node_1295": {
      "node_id": "node_1295",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1294",
      "improvement_over_parent": null
    },
    "node_1296": {
      "node_id": "node_1296",
      "content": "INITIAL DESIGN (Trace 186)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 117.46 kg\n  Factor of Safety: 0.17\n  Max Deflection: 4.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.4623774619308,
      "fos_buckling": 0.17088592516587378,
      "fos_yielding": 1.395344983661111,
      "deflection": 0.048249366852640065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1297": {
      "node_id": "node_1297",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 138.83 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.8348219937361,
      "fos_buckling": 0.19920549352078518,
      "fos_yielding": 1.643085601084105,
      "deflection": 0.04092564505538885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1296",
      "improvement_over_parent": null
    },
    "node_1298": {
      "node_id": "node_1298",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n  Mass: 148.69 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.92e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.68773701822496,
      "fos_buckling": 0.19904029211843607,
      "fos_yielding": 1.6410855440142724,
      "deflection": 0.039199285335732165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004618)"
      },
      "parent_node_id": "node_1297",
      "improvement_over_parent": null
    },
    "node_1299": {
      "node_id": "node_1299",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n\nPerformance:\n  Mass: 158.50 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.49823314379614,
      "fos_buckling": 1.0884486052830664,
      "fos_yielding": 3.8099792619600303,
      "deflection": 0.014286949901903254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004977)"
      },
      "parent_node_id": "node_1298",
      "improvement_over_parent": null
    },
    "node_1300": {
      "node_id": "node_1300",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.72 kg\n  Factor of Safety: 1.35\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": 201.71768974222783,
      "fos_buckling": 1.3504096348190326,
      "fos_yielding": 4.842085181083241,
      "deflection": 0.011297380502900058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1299",
      "improvement_over_parent": null
    },
    "node_1301": {
      "node_id": "node_1301",
      "content": "MODIFICATION: Increase 15 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0085)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 206.50 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.5009752924048,
      "fos_buckling": 1.3854736795318463,
      "fos_yielding": 4.843096537780494,
      "deflection": 0.011501851998735347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.484)"
      },
      "parent_node_id": "node_1300",
      "improvement_over_parent": null
    },
    "node_1302": {
      "node_id": "node_1302",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1301",
      "improvement_over_parent": null
    },
    "node_1303": {
      "node_id": "node_1303",
      "content": "INITIAL DESIGN (Trace 187)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 124.63 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.86e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.63416777374869,
      "fos_buckling": 0.22362270619266034,
      "fos_yielding": 1.0945162103374333,
      "deflection": 0.048630187684893175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1304": {
      "node_id": "node_1304",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 138.02 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.02011042085056,
      "fos_buckling": 0.2435350841529882,
      "fos_yielding": 1.2100346836203202,
      "deflection": 0.04399363924975933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1303",
      "improvement_over_parent": null
    },
    "node_1305": {
      "node_id": "node_1305",
      "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 138.64 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.6390082435358,
      "fos_buckling": 0.24350971560800003,
      "fos_yielding": 1.2099078216061703,
      "deflection": 0.044112860669488836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.328)"
      },
      "parent_node_id": "node_1304",
      "improvement_over_parent": null
    },
    "node_1306": {
      "node_id": "node_1306",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 156.42 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.42120395811835,
      "fos_buckling": 0.2431458530855016,
      "fos_yielding": 1.2080882511378546,
      "deflection": 0.03997930735432961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006505)"
      },
      "parent_node_id": "node_1305",
      "improvement_over_parent": null
    },
    "node_1307": {
      "node_id": "node_1307",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 183.35 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.34745070422358,
      "fos_buckling": 0.27646844776978646,
      "fos_yielding": 1.4115399005722205,
      "deflection": 0.03423055313082133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1306",
      "improvement_over_parent": null
    },
    "node_1308": {
      "node_id": "node_1308",
      "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.19 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.1919094702713,
      "fos_buckling": 0.2764684477697864,
      "fos_yielding": 1.4115399005722216,
      "deflection": 0.03415626379164215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.214)"
      },
      "parent_node_id": "node_1307",
      "improvement_over_parent": null
    },
    "node_1309": {
      "node_id": "node_1309",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 189.50 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.4999549472658,
      "fos_buckling": 0.276345704658403,
      "fos_yielding": 1.390144387206641,
      "deflection": 0.03377084456138041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1308",
      "improvement_over_parent": null
    },
    "node_1310": {
      "node_id": "node_1310",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6845089621672,
      "fos_buckling": 1.5301289603421206,
      "fos_yielding": 4.836518010622167,
      "deflection": 0.011227585105559924,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1309",
      "improvement_over_parent": null
    },
    "node_1311": {
      "node_id": "node_1311",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1310",
      "improvement_over_parent": null
    },
    "node_1312": {
      "node_id": "node_1312",
      "content": "INITIAL DESIGN (Trace 188)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 117.90 kg\n  Factor of Safety: 0.74\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": 117.90471120889205,
      "fos_buckling": 0.7403802604138784,
      "fos_yielding": 2.8723837956305664,
      "deflection": 0.018183003119837508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1313": {
      "node_id": "node_1313",
      "content": "MODIFICATION: Increase 17 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 119.90 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.89984245206539,
      "fos_buckling": 0.937031279592889,
      "fos_yielding": 2.873376487916856,
      "deflection": 0.018621622475089326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.439)"
      },
      "parent_node_id": "node_1312",
      "improvement_over_parent": null
    },
    "node_1314": {
      "node_id": "node_1314",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 146.47 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.4669863477863,
      "fos_buckling": 1.1217013017457154,
      "fos_yielding": 3.5071552422908585,
      "deflection": 0.015306221379534574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1313",
      "improvement_over_parent": null
    },
    "node_1315": {
      "node_id": "node_1315",
      "content": "MODIFICATION: Increase 18 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 148.17 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.16571655256348,
      "fos_buckling": 1.1678229758297687,
      "fos_yielding": 3.5061184774914738,
      "deflection": 0.015384202748340833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.399)"
      },
      "parent_node_id": "node_1314",
      "improvement_over_parent": null
    },
    "node_1316": {
      "node_id": "node_1316",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 175.58 kg\n  Factor of Safety: 1.35\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": 175.57963887588141,
      "fos_buckling": 1.3492671272122474,
      "fos_yielding": 4.151777031463735,
      "deflection": 0.013034356897805075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1315",
      "improvement_over_parent": null
    },
    "node_1317": {
      "node_id": "node_1317",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.51325612775364,
      "fos_buckling": 1.5292208914655423,
      "fos_yielding": 4.832200301330107,
      "deflection": 0.011237566692905791,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1316",
      "improvement_over_parent": null
    },
    "node_1318": {
      "node_id": "node_1318",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1317",
      "improvement_over_parent": null
    },
    "node_1319": {
      "node_id": "node_1319",
      "content": "INITIAL DESIGN (Trace 189)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.93 kg\n  Factor of Safety: 0.40\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": 177.934101270814,
      "fos_buckling": 0.3996311295556184,
      "fos_yielding": 4.912821873725641,
      "deflection": 0.013849063298998873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1320": {
      "node_id": "node_1320",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 187.45 kg\n  Factor of Safety: 1.09\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": 187.44975908781436,
      "fos_buckling": 1.0942530517668339,
      "fos_yielding": 4.849409990625043,
      "deflection": 0.012337576122977298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_1319",
      "improvement_over_parent": null
    },
    "node_1321": {
      "node_id": "node_1321",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 188.23 kg\n  Factor of Safety: 1.09\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": 188.23213996680266,
      "fos_buckling": 1.094228865361302,
      "fos_yielding": 4.8374025099499915,
      "deflection": 0.012313395371880018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.190)"
      },
      "parent_node_id": "node_1320",
      "improvement_over_parent": null
    },
    "node_1322": {
      "node_id": "node_1322",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 202.12 kg\n  Factor of Safety: 1.47\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": 202.11704684242426,
      "fos_buckling": 1.4704924192726003,
      "fos_yielding": 4.83850058260254,
      "deflection": 0.011162088531934027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1321",
      "improvement_over_parent": null
    },
    "node_1323": {
      "node_id": "node_1323",
      "content": "MODIFICATION: Increase 18 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0114)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 210.57 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.57161058016663,
      "fos_buckling": 1.4843042048885793,
      "fos_yielding": 4.83797287135811,
      "deflection": 0.010872379769225428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.468)"
      },
      "parent_node_id": "node_1322",
      "improvement_over_parent": null
    },
    "node_1324": {
      "node_id": "node_1324",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1323",
      "improvement_over_parent": null
    },
    "node_1325": {
      "node_id": "node_1325",
      "content": "INITIAL DESIGN (Trace 190)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 156.53 kg\n  Factor of Safety: 0.13\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": 156.530520744962,
      "fos_buckling": 0.1345915421023027,
      "fos_yielding": 3.122697168305552,
      "deflection": 0.02194429983060086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1326": {
      "node_id": "node_1326",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n  Mass: 166.39 kg\n  Factor of Safety: 0.85\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": 166.38580536873454,
      "fos_buckling": 0.8544924356863285,
      "fos_yielding": 4.164786607191321,
      "deflection": 0.015414345673668608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004874)"
      },
      "parent_node_id": "node_1325",
      "improvement_over_parent": null
    },
    "node_1327": {
      "node_id": "node_1327",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 169.07 kg\n  Factor of Safety: 1.16\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": 169.0721263679883,
      "fos_buckling": 1.1647324334740883,
      "fos_yielding": 4.1046624798539915,
      "deflection": 0.013611144542464013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003545)"
      },
      "parent_node_id": "node_1326",
      "improvement_over_parent": null
    },
    "node_1328": {
      "node_id": "node_1328",
      "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 169.22 kg\n  Factor of Safety: 1.17\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": 169.22472040981643,
      "fos_buckling": 1.1673018780105187,
      "fos_yielding": 4.105364060727587,
      "deflection": 0.013600179396437047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.355)"
      },
      "parent_node_id": "node_1327",
      "improvement_over_parent": null
    },
    "node_1329": {
      "node_id": "node_1329",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 170.20 kg\n  Factor of Safety: 1.35\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": 170.19623254573727,
      "fos_buckling": 1.3549799734963182,
      "fos_yielding": 4.174319464803955,
      "deflection": 0.013554215534408944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002132)"
      },
      "parent_node_id": "node_1328",
      "improvement_over_parent": null
    },
    "node_1330": {
      "node_id": "node_1330",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 197.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 197.38648056549422,
      "fos_buckling": 1.5297826816143345,
      "fos_yielding": 4.835771474008564,
      "deflection": 0.0117294190841527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1329",
      "improvement_over_parent": null
    },
    "node_1331": {
      "node_id": "node_1331",
      "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0091)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 203.13 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.12573622010862,
      "fos_buckling": 1.5313810632754554,
      "fos_yielding": 4.836653026187474,
      "deflection": 0.011971651657662447,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.587)"
      },
      "parent_node_id": "node_1330",
      "improvement_over_parent": null
    },
    "node_1332": {
      "node_id": "node_1332",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0091)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 207.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 207.39576390347517,
      "fos_buckling": 1.5358812918367541,
      "fos_yielding": 4.8390247762330265,
      "deflection": 0.011409727541262018,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.399)"
      },
      "parent_node_id": "node_1331",
      "improvement_over_parent": null
    },
    "node_1333": {
      "node_id": "node_1333",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1332",
      "improvement_over_parent": null
    },
    "node_1334": {
      "node_id": "node_1334",
      "content": "INITIAL DESIGN (Trace 191)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 129.24 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.51e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.24485786035157,
      "fos_buckling": 0.38893266995358183,
      "fos_yielding": 1.9721688255087158,
      "deflection": 15146524085138.314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1335": {
      "node_id": "node_1335",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 136.14 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.28e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.13616154723223,
      "fos_buckling": 1.1209523960837824,
      "fos_yielding": 4.381415971010152,
      "deflection": 5281871928111.208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003903)"
      },
      "parent_node_id": "node_1334",
      "improvement_over_parent": null
    },
    "node_1336": {
      "node_id": "node_1336",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 146.13 kg\n  Factor of Safety: 0.30\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.12999714230398,
      "fos_buckling": 0.29608477665003863,
      "fos_yielding": 3.927637037572547,
      "deflection": 0.017401782508917826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005077)"
      },
      "parent_node_id": "node_1335",
      "improvement_over_parent": null
    },
    "node_1337": {
      "node_id": "node_1337",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 153.70 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.7041722739605,
      "fos_buckling": 0.349414674413852,
      "fos_yielding": 3.927452566279749,
      "deflection": 0.015865406620552636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004420)"
      },
      "parent_node_id": "node_1336",
      "improvement_over_parent": null
    },
    "node_1338": {
      "node_id": "node_1338",
      "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0067)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 156.54 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.53592598412726,
      "fos_buckling": 0.348758006331579,
      "fos_yielding": 3.9271077717205043,
      "deflection": 0.015160428184545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.312)"
      },
      "parent_node_id": "node_1337",
      "improvement_over_parent": null
    },
    "node_1339": {
      "node_id": "node_1339",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0067)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 164.15 kg\n  Factor of Safety: 1.24\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": 164.15138123848402,
      "fos_buckling": 1.2350257785792165,
      "fos_yielding": 3.879428037910583,
      "deflection": 0.013562604378316767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)"
      },
      "parent_node_id": "node_1338",
      "improvement_over_parent": null
    },
    "node_1340": {
      "node_id": "node_1340",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0075)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n  Mass: 183.78 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.7804549292899,
      "fos_buckling": 1.3581571967755344,
      "fos_yielding": 4.341506618803852,
      "deflection": 0.01215152877660207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1339",
      "improvement_over_parent": null
    },
    "node_1341": {
      "node_id": "node_1341",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0085)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.99 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.99237149313393,
      "fos_buckling": 1.4854082423396795,
      "fos_yielding": 4.840435782429606,
      "deflection": 0.010930617370420913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_1340",
      "improvement_over_parent": null
    },
    "node_1342": {
      "node_id": "node_1342",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 192)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 125.76 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.75621678325666,
      "fos_buckling": 0.4860200923783066,
      "fos_yielding": 3.177538858071675,
      "deflection": 0.020928764462067585,
      "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: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 163.95 kg\n  Factor of Safety: 0.61\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": 163.95427223345135,
      "fos_buckling": 0.6093118287546258,
      "fos_yielding": 4.136427057042993,
      "deflection": 0.016133905155845698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1343",
      "improvement_over_parent": null
    },
    "node_1345": {
      "node_id": "node_1345",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 188.49 kg\n  Factor of Safety: 0.68\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": 188.48545271294395,
      "fos_buckling": 0.682632288673773,
      "fos_yielding": 4.750613582375889,
      "deflection": 0.014079431720420164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1344",
      "improvement_over_parent": null
    },
    "node_1346": {
      "node_id": "node_1346",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 199.50 kg\n  Factor of Safety: 1.28\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": 199.50110958883093,
      "fos_buckling": 1.2765880219287462,
      "fos_yielding": 4.837718787794575,
      "deflection": 0.011525353533900832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1345",
      "improvement_over_parent": null
    },
    "node_1347": {
      "node_id": "node_1347",
      "content": "MODIFICATION: Increase 20 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0077)]\n\nPerformance:\n  Mass: 203.03 kg\n  Factor of Safety: 1.28\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": 203.03215620525995,
      "fos_buckling": 1.276702404255456,
      "fos_yielding": 4.842303335711159,
      "deflection": 0.01138857760451877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.366)"
      },
      "parent_node_id": "node_1346",
      "improvement_over_parent": null
    },
    "node_1348": {
      "node_id": "node_1348",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1347",
      "improvement_over_parent": null
    },
    "node_1349": {
      "node_id": "node_1349",
      "content": "INITIAL DESIGN (Trace 193)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0024)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0023)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0014)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0021)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0011)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0019)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0018)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0020)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0018)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0019)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0016)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0025)]\n\nPerformance:\n  Mass: 67.17 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.39e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 67.16595744792103,
      "fos_buckling": 0.4613635831557211,
      "fos_yielding": 1.7944006541228117,
      "deflection": 0.03386735035951657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1350": {
      "node_id": "node_1350",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 82.22 kg\n  Factor of Safety: 0.56\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": 82.21644719526688,
      "fos_buckling": 0.5556752636973713,
      "fos_yielding": 2.1961614580594104,
      "deflection": 0.027734708520642255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1349",
      "improvement_over_parent": null
    },
    "node_1351": {
      "node_id": "node_1351",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0014)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n\nPerformance:\n  Mass: 85.52 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.52437119378865,
      "fos_buckling": 0.5893170416162287,
      "fos_yielding": 2.063061777832388,
      "deflection": 0.02627706186376942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.001906)"
      },
      "parent_node_id": "node_1350",
      "improvement_over_parent": null
    },
    "node_1352": {
      "node_id": "node_1352",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n\nPerformance:\n  Mass: 110.60 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.60060373556506,
      "fos_buckling": 0.7524015642483711,
      "fos_yielding": 2.665813608691081,
      "deflection": 0.020395055444611176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1351",
      "improvement_over_parent": null
    },
    "node_1353": {
      "node_id": "node_1353",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n  Mass: 140.49 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.48779114426907,
      "fos_buckling": 0.9410382090286936,
      "fos_yielding": 3.382912639180201,
      "deflection": 0.016127311106578144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1352",
      "improvement_over_parent": null
    },
    "node_1354": {
      "node_id": "node_1354",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 179.39 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.38962172651148,
      "fos_buckling": 1.1772302461054618,
      "fos_yielding": 4.314172115501736,
      "deflection": 0.012702462940006112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1353",
      "improvement_over_parent": null
    },
    "node_1355": {
      "node_id": "node_1355",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 201.13 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.1298250057764,
      "fos_buckling": 1.3046206117069798,
      "fos_yielding": 4.833538765606611,
      "deflection": 0.011365578271924312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1354",
      "improvement_over_parent": null
    },
    "node_1356": {
      "node_id": "node_1356",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.56947452458348,
      "fos_buckling": 1.5296651065864046,
      "fos_yielding": 4.8336253645174,
      "deflection": 0.011233897397542467,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.626)"
      },
      "parent_node_id": "node_1355",
      "improvement_over_parent": null
    },
    "node_1357": {
      "node_id": "node_1357",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1356",
      "improvement_over_parent": null
    },
    "node_1358": {
      "node_id": "node_1358",
      "content": "INITIAL DESIGN (Trace 194)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 122.81 kg\n  Factor of Safety: 0.07\n  Max Deflection: 5.60e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.81074517805365,
      "fos_buckling": 0.0665448837137561,
      "fos_yielding": 0.9860844127543577,
      "deflection": 56003704882441.19,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1359": {
      "node_id": "node_1359",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n  Mass: 131.31 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.30572707452123,
      "fos_buckling": 0.6388840385317242,
      "fos_yielding": 3.498563027880561,
      "deflection": 0.018643917601684157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003942)"
      },
      "parent_node_id": "node_1358",
      "improvement_over_parent": null
    },
    "node_1360": {
      "node_id": "node_1360",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n\nPerformance:\n  Mass: 136.58 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.57827811357126,
      "fos_buckling": 0.6425603404652159,
      "fos_yielding": 3.2939029919797354,
      "deflection": 0.01820368084029413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003106)"
      },
      "parent_node_id": "node_1359",
      "improvement_over_parent": null
    },
    "node_1361": {
      "node_id": "node_1361",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n\nPerformance:\n  Mass: 138.69 kg\n  Factor of Safety: 1.10\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": 138.68911688211904,
      "fos_buckling": 1.10265485662499,
      "fos_yielding": 3.2828131295777414,
      "deflection": 0.01641145310734149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002738)"
      },
      "parent_node_id": "node_1360",
      "improvement_over_parent": null
    },
    "node_1362": {
      "node_id": "node_1362",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 160.41 kg\n  Factor of Safety: 1.25\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": 160.4125229117424,
      "fos_buckling": 1.2502484728233478,
      "fos_yielding": 3.794801039874542,
      "deflection": 0.014234219177806278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1361",
      "improvement_over_parent": null
    },
    "node_1363": {
      "node_id": "node_1363",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5477878669385,
      "fos_buckling": 1.5294829290775984,
      "fos_yielding": 4.833168025433841,
      "deflection": 0.011234984025507195,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1362",
      "improvement_over_parent": null
    },
    "node_1364": {
      "node_id": "node_1364",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1363",
      "improvement_over_parent": null
    },
    "node_1365": {
      "node_id": "node_1365",
      "content": "INITIAL DESIGN (Trace 195)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 161.97 kg\n  Factor of Safety: 0.93\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": 161.97366438179387,
      "fos_buckling": 0.933662903797885,
      "fos_yielding": 4.395984472502993,
      "deflection": 0.0140469910697733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1366": {
      "node_id": "node_1366",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.10 kg\n  Factor of Safety: 1.02\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": 179.09508792698264,
      "fos_buckling": 1.016076866857787,
      "fos_yielding": 4.8575687408213435,
      "deflection": 0.01272662196714337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1365",
      "improvement_over_parent": null
    },
    "node_1367": {
      "node_id": "node_1367",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.19 kg\n  Factor of Safety: 1.02\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": 182.18671707601607,
      "fos_buckling": 1.0169004155677894,
      "fos_yielding": 4.849594640778245,
      "deflection": 0.012522181681124383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.385)"
      },
      "parent_node_id": "node_1366",
      "improvement_over_parent": null
    },
    "node_1368": {
      "node_id": "node_1368",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 196.07 kg\n  Factor of Safety: 1.02\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": 196.07162395163766,
      "fos_buckling": 1.0156680236813274,
      "fos_yielding": 4.849119199714341,
      "deflection": 0.01082440337991696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1367",
      "improvement_over_parent": null
    },
    "node_1369": {
      "node_id": "node_1369",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68211298471155,
      "fos_buckling": 1.5303138898709427,
      "fos_yielding": 4.836407831810198,
      "deflection": 0.011228012961632047,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_1368",
      "improvement_over_parent": null
    },
    "node_1370": {
      "node_id": "node_1370",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1369",
      "improvement_over_parent": null
    },
    "node_1371": {
      "node_id": "node_1371",
      "content": "INITIAL DESIGN (Trace 196)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 152.27 kg\n  Factor of Safety: 0.38\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": 152.27275075229346,
      "fos_buckling": 0.38065664017893486,
      "fos_yielding": 1.9913143964994948,
      "deflection": 0.02416387244705118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1372": {
      "node_id": "node_1372",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n  Mass: 178.68 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.67624769424708,
      "fos_buckling": 0.44130806614595797,
      "fos_yielding": 2.34614626740264,
      "deflection": 0.02061601061558557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1371",
      "improvement_over_parent": null
    },
    "node_1373": {
      "node_id": "node_1373",
      "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 181.30 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.3002184938907,
      "fos_buckling": 0.44132441535036143,
      "fos_yielding": 2.34623318542619,
      "deflection": 0.019495710874098866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.256)"
      },
      "parent_node_id": "node_1372",
      "improvement_over_parent": null
    },
    "node_1374": {
      "node_id": "node_1374",
      "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 182.69 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.68999260557402,
      "fos_buckling": 0.4411297954771147,
      "fos_yielding": 2.345198518887761,
      "deflection": 0.019449861198688436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.344)"
      },
      "parent_node_id": "node_1373",
      "improvement_over_parent": null
    },
    "node_1375": {
      "node_id": "node_1375",
      "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.84 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8408375299761,
      "fos_buckling": 0.48770383373214815,
      "fos_yielding": 3.4133002335711398,
      "deflection": 0.01847467595111594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.642)"
      },
      "parent_node_id": "node_1374",
      "improvement_over_parent": null
    },
    "node_1376": {
      "node_id": "node_1376",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68904901895462,
      "fos_buckling": 1.5303869274453026,
      "fos_yielding": 4.836023489619113,
      "deflection": 0.011227286954844309,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1375",
      "improvement_over_parent": null
    },
    "node_1377": {
      "node_id": "node_1377",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1376",
      "improvement_over_parent": null
    },
    "node_1378": {
      "node_id": "node_1378",
      "content": "INITIAL DESIGN (Trace 197)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 144.53 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.53064687787008,
      "fos_buckling": 0.7032214082808411,
      "fos_yielding": 3.883521284933675,
      "deflection": 0.01689745622364213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1379": {
      "node_id": "node_1379",
      "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 145.77 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.7706277514642,
      "fos_buckling": 0.700620122731338,
      "fos_yielding": 3.883521284933675,
      "deflection": 0.01681722284966893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.188)"
      },
      "parent_node_id": "node_1378",
      "improvement_over_parent": null
    },
    "node_1380": {
      "node_id": "node_1380",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 164.66 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.6618307600343,
      "fos_buckling": 0.7787091192329274,
      "fos_yielding": 4.3864205334139195,
      "deflection": 0.0149143866000268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1379",
      "improvement_over_parent": null
    },
    "node_1381": {
      "node_id": "node_1381",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 167.31 kg\n  Factor of Safety: 1.01\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": 167.3074998620954,
      "fos_buckling": 1.0138292023908528,
      "fos_yielding": 4.3864205334139195,
      "deflection": 0.01389955320784579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003487)"
      },
      "parent_node_id": "node_1380",
      "improvement_over_parent": null
    },
    "node_1382": {
      "node_id": "node_1382",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n  Mass: 173.92 kg\n  Factor of Safety: 1.34\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": 173.91649033253208,
      "fos_buckling": 1.3385591060017736,
      "fos_yielding": 4.112729507788448,
      "deflection": 0.013154790569949571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003956)"
      },
      "parent_node_id": "node_1381",
      "improvement_over_parent": null
    },
    "node_1383": {
      "node_id": "node_1383",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.79062562263664,
      "fos_buckling": 1.5308835423974179,
      "fos_yielding": 4.838829763553668,
      "deflection": 0.01122194816069046,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1382",
      "improvement_over_parent": null
    },
    "node_1384": {
      "node_id": "node_1384",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1383",
      "improvement_over_parent": null
    },
    "node_1385": {
      "node_id": "node_1385",
      "content": "INITIAL DESIGN (Trace 198)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 120.20 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.20052416555099,
      "fos_buckling": 0.25003724726982557,
      "fos_yielding": 2.76711336986581,
      "deflection": 0.01950503900504145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1386": {
      "node_id": "node_1386",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 143.49 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.48661620076638,
      "fos_buckling": 0.2924720231868562,
      "fos_yielding": 3.2992196161304363,
      "deflection": 0.016378799244999995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1385",
      "improvement_over_parent": null
    },
    "node_1387": {
      "node_id": "node_1387",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 143.60 kg\n  Factor of Safety: 0.28\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": 143.59963004700472,
      "fos_buckling": 0.2805882371913853,
      "fos_yielding": 3.2991829009204885,
      "deflection": 0.0163608486747654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.225)"
      },
      "parent_node_id": "node_1386",
      "improvement_over_parent": null
    },
    "node_1388": {
      "node_id": "node_1388",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n  Mass: 152.69 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.69330681196226,
      "fos_buckling": 0.35250869580264316,
      "fos_yielding": 3.2977064308657833,
      "deflection": 0.018057705410139225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004469)"
      },
      "parent_node_id": "node_1387",
      "improvement_over_parent": null
    },
    "node_1389": {
      "node_id": "node_1389",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 174.05 kg\n  Factor of Safety: 0.40\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": 174.0454823705277,
      "fos_buckling": 0.3957536561472926,
      "fos_yielding": 3.754740593119205,
      "deflection": 0.015894870819614795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1388",
      "improvement_over_parent": null
    },
    "node_1390": {
      "node_id": "node_1390",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n  Mass: 185.41 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.41377931366782,
      "fos_buckling": 1.4138095374978086,
      "fos_yielding": 4.3838968752740115,
      "deflection": 0.01233615015313508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005390)"
      },
      "parent_node_id": "node_1389",
      "improvement_over_parent": null
    },
    "node_1391": {
      "node_id": "node_1391",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n  Mass: 185.70 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.7030616541385,
      "fos_buckling": 1.4136852581653818,
      "fos_yielding": 4.390283129168971,
      "deflection": 0.012340732608278253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.429)"
      },
      "parent_node_id": "node_1390",
      "improvement_over_parent": null
    },
    "node_1392": {
      "node_id": "node_1392",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.96 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.9634812273536,
      "fos_buckling": 1.5320428262000005,
      "fos_yielding": 4.843124910183113,
      "deflection": 0.01121247047194003,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1391",
      "improvement_over_parent": null
    },
    "node_1393": {
      "node_id": "node_1393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1392",
      "improvement_over_parent": null
    },
    "node_1394": {
      "node_id": "node_1394",
      "content": "INITIAL DESIGN (Trace 199)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n  Mass: 149.84 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.83582389691432,
      "fos_buckling": 0.17332023729565638,
      "fos_yielding": 0.9157351654756415,
      "deflection": 0.05465651337461386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1395": {
      "node_id": "node_1395",
      "content": "MODIFICATION: Increase 17 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n\nPerformance:\n  Mass: 153.83 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.83455136596936,
      "fos_buckling": 0.17333997239084664,
      "fos_yielding": 0.9157927508909496,
      "deflection": 0.052186832117922646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.506)"
      },
      "parent_node_id": "node_1394",
      "improvement_over_parent": null
    },
    "node_1396": {
      "node_id": "node_1396",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 172.72 kg\n  Factor of Safety: 0.82\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": 172.71778664364328,
      "fos_buckling": 0.822322693051588,
      "fos_yielding": 4.67634211772876,
      "deflection": 0.014306860434466766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006943)"
      },
      "parent_node_id": "node_1395",
      "improvement_over_parent": null
    },
    "node_1397": {
      "node_id": "node_1397",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 179.77 kg\n  Factor of Safety: 0.83\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": 179.76616275254509,
      "fos_buckling": 0.828240458193149,
      "fos_yielding": 4.340854252708168,
      "deflection": 0.013803442671217263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004242)"
      },
      "parent_node_id": "node_1396",
      "improvement_over_parent": null
    },
    "node_1398": {
      "node_id": "node_1398",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 198.60 kg\n  Factor of Safety: 0.90\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": 198.59662152541796,
      "fos_buckling": 0.9002570773078401,
      "fos_yielding": 4.793023440874906,
      "deflection": 0.012515499571295429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1397",
      "improvement_over_parent": null
    },
    "node_1399": {
      "node_id": "node_1399",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 201.69 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.693222939438,
      "fos_buckling": 0.8992285701604532,
      "fos_yielding": 4.855803853239076,
      "deflection": 0.012396303132684047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.623)"
      },
      "parent_node_id": "node_1398",
      "improvement_over_parent": null
    },
    "node_1400": {
      "node_id": "node_1400",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8086008391584,
      "fos_buckling": 1.5310722838348838,
      "fos_yielding": 4.839439914435628,
      "deflection": 0.011220991335770368,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1399",
      "improvement_over_parent": null
    },
    "node_1401": {
      "node_id": "node_1401",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1400",
      "improvement_over_parent": null
    },
    "node_1402": {
      "node_id": "node_1402",
      "content": "INITIAL DESIGN (Trace 200)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n  Mass: 89.14 kg\n  Factor of Safety: 0.74\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.13710449188987,
      "fos_buckling": 0.7406965205434852,
      "fos_yielding": 2.1127239303671748,
      "deflection": 0.025348912545128263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1403": {
      "node_id": "node_1403",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 110.68 kg\n  Factor of Safety: 0.90\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.68058299201387,
      "fos_buckling": 0.9023971390266465,
      "fos_yielding": 2.621829056681711,
      "deflection": 0.020479885743270105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1402",
      "improvement_over_parent": null
    },
    "node_1404": {
      "node_id": "node_1404",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 138.13 kg\n  Factor of Safety: 1.10\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": 138.13098193166124,
      "fos_buckling": 1.098768093569406,
      "fos_yielding": 3.2696709405258995,
      "deflection": 0.01647636188104934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1403",
      "improvement_over_parent": null
    },
    "node_1405": {
      "node_id": "node_1405",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 180.59 kg\n  Factor of Safety: 1.38\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": 180.59300663959914,
      "fos_buckling": 1.38133900828431,
      "fos_yielding": 4.269916343803327,
      "deflection": 0.012680897071336397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_1404",
      "improvement_over_parent": null
    },
    "node_1406": {
      "node_id": "node_1406",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75385771561037,
      "fos_buckling": 1.5307141309425039,
      "fos_yielding": 4.838039457495413,
      "deflection": 0.011223977742735937,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_1405",
      "improvement_over_parent": null
    },
    "node_1407": {
      "node_id": "node_1407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1406",
      "improvement_over_parent": null
    },
    "node_1408": {
      "node_id": "node_1408",
      "content": "INITIAL DESIGN (Trace 201)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n  Mass: 111.20 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.66e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.2005375491404,
      "fos_buckling": 0.2024176374054745,
      "fos_yielding": 0.9190150991850841,
      "deflection": 0.0566389251790467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1409": {
      "node_id": "node_1409",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n  Mass: 133.66 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.66314456710873,
      "fos_buckling": 0.23660816065297663,
      "fos_yielding": 1.1017270470108023,
      "deflection": 0.047242602483347024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1408",
      "improvement_over_parent": null
    },
    "node_1410": {
      "node_id": "node_1410",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n  Mass: 162.48 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.47908463593896,
      "fos_buckling": 0.2772683345851663,
      "fos_yielding": 1.3347191656517727,
      "deflection": 0.03899216059696347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1409",
      "improvement_over_parent": null
    },
    "node_1411": {
      "node_id": "node_1411",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 183.33 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.50e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.32729612491747,
      "fos_buckling": 0.27678430457120035,
      "fos_yielding": 1.3323564476711245,
      "deflection": 0.035003931519064384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1410",
      "improvement_over_parent": null
    },
    "node_1412": {
      "node_id": "node_1412",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 198.51 kg\n  Factor of Safety: 1.22\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": 198.51185013981888,
      "fos_buckling": 1.2235027505373046,
      "fos_yielding": 4.829591235202058,
      "deflection": 0.011989585762388701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1411",
      "improvement_over_parent": null
    },
    "node_1413": {
      "node_id": "node_1413",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.16 kg\n  Factor of Safety: 1.49\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": 202.1640844520222,
      "fos_buckling": 1.4932155411458952,
      "fos_yielding": 4.839251912832355,
      "deflection": 0.01129369480525844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.453)"
      },
      "parent_node_id": "node_1412",
      "improvement_over_parent": null
    },
    "node_1414": {
      "node_id": "node_1414",
      "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0097)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 206.89 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.89180767838548,
      "fos_buckling": 1.572833585580384,
      "fos_yielding": 4.838927380332178,
      "deflection": 0.011100877828686594,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.256)"
      },
      "parent_node_id": "node_1413",
      "improvement_over_parent": null
    },
    "node_1415": {
      "node_id": "node_1415",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1414",
      "improvement_over_parent": null
    },
    "node_1416": {
      "node_id": "node_1416",
      "content": "INITIAL DESIGN (Trace 202)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 96.01 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.00788371684499,
      "fos_buckling": 0.5668217379324807,
      "fos_yielding": 2.5370563302965246,
      "deflection": 0.02473831843149408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1417": {
      "node_id": "node_1417",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 107.88 kg\n  Factor of Safety: 0.63\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": 107.88377023991202,
      "fos_buckling": 0.6307419136966261,
      "fos_yielding": 2.8498871242799546,
      "deflection": 0.022041334251830753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1416",
      "improvement_over_parent": null
    },
    "node_1418": {
      "node_id": "node_1418",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 125.38 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.37943703932065,
      "fos_buckling": 0.7224022992443044,
      "fos_yielding": 3.310354581909358,
      "deflection": 0.018998884319395906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1417",
      "improvement_over_parent": null
    },
    "node_1419": {
      "node_id": "node_1419",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 153.78 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.7789359858925,
      "fos_buckling": 0.8648010671766783,
      "fos_yielding": 4.056792137795451,
      "deflection": 0.015534206285651773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_1418",
      "improvement_over_parent": null
    },
    "node_1420": {
      "node_id": "node_1420",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n  Mass: 160.90 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.90440753308167,
      "fos_buckling": 0.9354137613132297,
      "fos_yielding": 4.004434745659169,
      "deflection": 0.014940587173496467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004046)"
      },
      "parent_node_id": "node_1419",
      "improvement_over_parent": null
    },
    "node_1421": {
      "node_id": "node_1421",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 168.74 kg\n  Factor of Safety: 1.31\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": 168.73604520552513,
      "fos_buckling": 1.3072782747228513,
      "fos_yielding": 4.008065508690908,
      "deflection": 0.013645754345447611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004582)"
      },
      "parent_node_id": "node_1420",
      "improvement_over_parent": null
    },
    "node_1422": {
      "node_id": "node_1422",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 203.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.92355253405825,
      "fos_buckling": 1.528191828829252,
      "fos_yielding": 4.839314789025173,
      "deflection": 0.011348057612931216,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1421",
      "improvement_over_parent": null
    },
    "node_1423": {
      "node_id": "node_1423",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6396843605319,
      "fos_buckling": 1.5300395094528825,
      "fos_yielding": 4.835175723155061,
      "deflection": 0.011230383511195983,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1422",
      "improvement_over_parent": null
    },
    "node_1424": {
      "node_id": "node_1424",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1423",
      "improvement_over_parent": null
    },
    "node_1425": {
      "node_id": "node_1425",
      "content": "INITIAL DESIGN (Trace 203)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 192.58 kg\n  Factor of Safety: 1.16\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": 192.577867568759,
      "fos_buckling": 1.1550751175780025,
      "fos_yielding": 5.1612144939627695,
      "deflection": 0.012137652793105158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1426": {
      "node_id": "node_1426",
      "content": "MODIFICATION: Increase 14 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 195.16 kg\n  Factor of Safety: 1.15\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": 195.15590956809243,
      "fos_buckling": 1.15384907001579,
      "fos_yielding": 5.1612144939627695,
      "deflection": 0.012098855752863602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.408)"
      },
      "parent_node_id": "node_1425",
      "improvement_over_parent": null
    },
    "node_1427": {
      "node_id": "node_1427",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 200.46 kg\n  Factor of Safety: 1.33\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": 200.46395504508692,
      "fos_buckling": 1.3266837610289965,
      "fos_yielding": 4.837154105294052,
      "deflection": 0.011458558409529846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1426",
      "improvement_over_parent": null
    },
    "node_1428": {
      "node_id": "node_1428",
      "content": "MODIFICATION: Increase 20 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0054)]\n\nPerformance:\n  Mass: 201.77 kg\n  Factor of Safety: 1.33\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": 201.77269883081226,
      "fos_buckling": 1.3266135533903312,
      "fos_yielding": 4.822109001834393,
      "deflection": 0.011428844704143072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.279)"
      },
      "parent_node_id": "node_1427",
      "improvement_over_parent": null
    },
    "node_1429": {
      "node_id": "node_1429",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1428",
      "improvement_over_parent": null
    },
    "node_1430": {
      "node_id": "node_1430",
      "content": "INITIAL DESIGN (Trace 204)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 104.75 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.75180651508734,
      "fos_buckling": 0.21987810727704482,
      "fos_yielding": 1.5561990357782778,
      "deflection": 0.04561474470676244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1431": {
      "node_id": "node_1431",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n\nPerformance:\n  Mass: 112.23 kg\n  Factor of Safety: 0.16\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.2342855353374,
      "fos_buckling": 0.1575886522740712,
      "fos_yielding": 2.89216335941936,
      "deflection": 0.02025260158546496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003732)"
      },
      "parent_node_id": "node_1430",
      "improvement_over_parent": null
    },
    "node_1432": {
      "node_id": "node_1432",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n\nPerformance:\n  Mass: 134.50 kg\n  Factor of Safety: 0.19\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": 134.4978789086064,
      "fos_buckling": 0.1851350700093319,
      "fos_yielding": 3.4629962858719114,
      "deflection": 0.016928698083031386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1431",
      "improvement_over_parent": null
    },
    "node_1433": {
      "node_id": "node_1433",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 155.99 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.99113116030256,
      "fos_buckling": 0.21056036168450323,
      "fos_yielding": 4.013139061764466,
      "deflection": 0.014619750647302063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1432",
      "improvement_over_parent": null
    },
    "node_1434": {
      "node_id": "node_1434",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 160.90 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.89529486846365,
      "fos_buckling": 0.2109272716915885,
      "fos_yielding": 4.012736491407712,
      "deflection": 0.013923513219951394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.626)"
      },
      "parent_node_id": "node_1433",
      "improvement_over_parent": null
    },
    "node_1435": {
      "node_id": "node_1435",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 193.27 kg\n  Factor of Safety: 0.25\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": 193.27295772434246,
      "fos_buckling": 0.24621253590388334,
      "fos_yielding": 4.816063167781625,
      "deflection": 0.011624190774002825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_1434",
      "improvement_over_parent": null
    },
    "node_1436": {
      "node_id": "node_1436",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7001578903821,
      "fos_buckling": 1.5303384725573532,
      "fos_yielding": 4.836542444394736,
      "deflection": 0.011226420055268409,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_1435",
      "improvement_over_parent": null
    },
    "node_1437": {
      "node_id": "node_1437",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1436",
      "improvement_over_parent": null
    },
    "node_1438": {
      "node_id": "node_1438",
      "content": "INITIAL DESIGN (Trace 205)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 105.28 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.28495702074464,
      "fos_buckling": 0.29118887470337435,
      "fos_yielding": 2.4713290057951065,
      "deflection": 0.025735430211398316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1439": {
      "node_id": "node_1439",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n  Mass: 113.55 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.55001736995467,
      "fos_buckling": 0.2909869224628718,
      "fos_yielding": 2.4616809192242597,
      "deflection": 0.023978506585724212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003618)"
      },
      "parent_node_id": "node_1438",
      "improvement_over_parent": null
    },
    "node_1440": {
      "node_id": "node_1440",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 145.83 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.82500151412071,
      "fos_buckling": 0.3603946450450474,
      "fos_yielding": 3.1678314651040034,
      "deflection": 0.01876729416489101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1439",
      "improvement_over_parent": null
    },
    "node_1441": {
      "node_id": "node_1441",
      "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 146.89 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.8891141984172,
      "fos_buckling": 0.36039464504504753,
      "fos_yielding": 3.1678314651040043,
      "deflection": 0.018648498902509025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.393)"
      },
      "parent_node_id": "node_1440",
      "improvement_over_parent": null
    },
    "node_1442": {
      "node_id": "node_1442",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 171.12 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.12375337330724,
      "fos_buckling": 0.4084749086803463,
      "fos_yielding": 3.6859554722681156,
      "deflection": 0.016068934626983666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1441",
      "improvement_over_parent": null
    },
    "node_1443": {
      "node_id": "node_1443",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 182.30 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.3017745335387,
      "fos_buckling": 1.3921589999437558,
      "fos_yielding": 4.309913997843876,
      "deflection": 0.012565312389839383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005292)"
      },
      "parent_node_id": "node_1442",
      "improvement_over_parent": null
    },
    "node_1444": {
      "node_id": "node_1444",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.53516396245655,
      "fos_buckling": 1.5293850061839243,
      "fos_yielding": 4.832671873533064,
      "deflection": 0.011235748722001615,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1443",
      "improvement_over_parent": null
    },
    "node_1445": {
      "node_id": "node_1445",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1444",
      "improvement_over_parent": null
    },
    "node_1446": {
      "node_id": "node_1446",
      "content": "INITIAL DESIGN (Trace 206)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0017)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 98.00 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.99687696408556,
      "fos_buckling": 0.516185126251983,
      "fos_yielding": 2.437273268161254,
      "deflection": 0.026443098885169925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1447": {
      "node_id": "node_1447",
      "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 100.11 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.11073518766274,
      "fos_buckling": 0.7304743846193106,
      "fos_yielding": 2.498714232519633,
      "deflection": 0.02388284204320273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.560)"
      },
      "parent_node_id": "node_1446",
      "improvement_over_parent": null
    },
    "node_1448": {
      "node_id": "node_1448",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 128.92 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.91946828589062,
      "fos_buckling": 0.92180502193539,
      "fos_yielding": 3.213782522285327,
      "deflection": 0.01860981987822052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1447",
      "improvement_over_parent": null
    },
    "node_1449": {
      "node_id": "node_1449",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 164.76 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.75919697524745,
      "fos_buckling": 1.1481526362098293,
      "fos_yielding": 4.100713624418079,
      "deflection": 0.014622992057571888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1448",
      "improvement_over_parent": null
    },
    "node_1450": {
      "node_id": "node_1450",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.52 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.51811632081655,
      "fos_buckling": 1.3379468521814954,
      "fos_yielding": 4.884080805695357,
      "deflection": 0.012304599749157156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1449",
      "improvement_over_parent": null
    },
    "node_1451": {
      "node_id": "node_1451",
      "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.80 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.79620171898947,
      "fos_buckling": 1.3663829548885194,
      "fos_yielding": 4.881922698048034,
      "deflection": 0.011739240573815247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.302)"
      },
      "parent_node_id": "node_1450",
      "improvement_over_parent": null
    },
    "node_1452": {
      "node_id": "node_1452",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.16 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.15749563369556,
      "fos_buckling": 1.322233278042439,
      "fos_yielding": 4.873013480693482,
      "deflection": 0.011280693486765523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.431)"
      },
      "parent_node_id": "node_1451",
      "improvement_over_parent": null
    },
    "node_1453": {
      "node_id": "node_1453",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.89 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8895905966596,
      "fos_buckling": 1.5315973999778438,
      "fos_yielding": 4.841518737819505,
      "deflection": 0.011217207630384633,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.531)"
      },
      "parent_node_id": "node_1452",
      "improvement_over_parent": null
    },
    "node_1454": {
      "node_id": "node_1454",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1453",
      "improvement_over_parent": null
    },
    "node_1455": {
      "node_id": "node_1455",
      "content": "INITIAL DESIGN (Trace 207)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 155.72 kg\n  Factor of Safety: 1.22\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": 155.72370931460338,
      "fos_buckling": 1.2200422364275705,
      "fos_yielding": 3.6897195961018516,
      "deflection": 0.014662531919571405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1456": {
      "node_id": "node_1456",
      "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 155.93 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.92574363894772,
      "fos_buckling": 1.2203086378862245,
      "fos_yielding": 3.6891257366665,
      "deflection": 0.014634150066501957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.629)"
      },
      "parent_node_id": "node_1455",
      "improvement_over_parent": null
    },
    "node_1457": {
      "node_id": "node_1457",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 180.10 kg\n  Factor of Safety: 1.38\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": 180.09766094803555,
      "fos_buckling": 1.3781902206877565,
      "fos_yielding": 4.258260897689062,
      "deflection": 0.012714856093749458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1456",
      "improvement_over_parent": null
    },
    "node_1458": {
      "node_id": "node_1458",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84722041119278,
      "fos_buckling": 1.5312753610189682,
      "fos_yielding": 4.840233278635229,
      "deflection": 0.01121901444475229,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1457",
      "improvement_over_parent": null
    },
    "node_1459": {
      "node_id": "node_1459",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1458",
      "improvement_over_parent": null
    },
    "node_1460": {
      "node_id": "node_1460",
      "content": "INITIAL DESIGN (Trace 208)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 175.66 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.66158985461047,
      "fos_buckling": 1.200157150183011,
      "fos_yielding": 4.333761928237849,
      "deflection": 0.013972913112217735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1461": {
      "node_id": "node_1461",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 178.79 kg\n  Factor of Safety: 1.36\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": 178.78839561831575,
      "fos_buckling": 1.3633142485874523,
      "fos_yielding": 4.331553083007292,
      "deflection": 0.013314962744741806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.325)"
      },
      "parent_node_id": "node_1460",
      "improvement_over_parent": null
    },
    "node_1462": {
      "node_id": "node_1462",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 180.30 kg\n  Factor of Safety: 1.40\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": 180.30101666365346,
      "fos_buckling": 1.395473956323491,
      "fos_yielding": 4.3255639398821675,
      "deflection": 0.012924058119350426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.239)"
      },
      "parent_node_id": "node_1461",
      "improvement_over_parent": null
    },
    "node_1463": {
      "node_id": "node_1463",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 182.69 kg\n  Factor of Safety: 1.39\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": 182.68555998090272,
      "fos_buckling": 1.394572917641822,
      "fos_yielding": 4.319081662061675,
      "deflection": 0.012538815145197701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.314)"
      },
      "parent_node_id": "node_1462",
      "improvement_over_parent": null
    },
    "node_1464": {
      "node_id": "node_1464",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7960182523031,
      "fos_buckling": 1.530936100779563,
      "fos_yielding": 4.838954512656136,
      "deflection": 0.011221157133423153,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1463",
      "improvement_over_parent": null
    },
    "node_1465": {
      "node_id": "node_1465",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1464",
      "improvement_over_parent": null
    },
    "node_1466": {
      "node_id": "node_1466",
      "content": "INITIAL DESIGN (Trace 209)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 154.67 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.6695108292305,
      "fos_buckling": 0.9509335730038058,
      "fos_yielding": 3.4811785754487423,
      "deflection": 0.015243125007199975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1467": {
      "node_id": "node_1467",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.85 kg\n  Factor of Safety: 1.15\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": 196.84997171546303,
      "fos_buckling": 1.1540743775004394,
      "fos_yielding": 4.443150839797584,
      "deflection": 0.012055105213038974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1466",
      "improvement_over_parent": null
    },
    "node_1468": {
      "node_id": "node_1468",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.66 kg\n  Factor of Safety: 1.15\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": 197.66238425885467,
      "fos_buckling": 1.1540743775004394,
      "fos_yielding": 5.162740001910645,
      "deflection": 0.012055105213038974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.178)"
      },
      "parent_node_id": "node_1467",
      "improvement_over_parent": null
    },
    "node_1469": {
      "node_id": "node_1469",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 202.97 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.97042973584917,
      "fos_buckling": 1.530762791205862,
      "fos_yielding": 4.842428246197046,
      "deflection": 0.011428431722132183,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1468",
      "improvement_over_parent": null
    },
    "node_1470": {
      "node_id": "node_1470",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6622360432147,
      "fos_buckling": 1.5301538292949195,
      "fos_yielding": 4.838145480076399,
      "deflection": 0.011229016442713865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.182)"
      },
      "parent_node_id": "node_1469",
      "improvement_over_parent": null
    },
    "node_1471": {
      "node_id": "node_1471",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1470",
      "improvement_over_parent": null
    },
    "node_1472": {
      "node_id": "node_1472",
      "content": "INITIAL DESIGN (Trace 210)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 125.68 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.68414522727248,
      "fos_buckling": 0.48978648344948184,
      "fos_yielding": 2.334748156299606,
      "deflection": 0.02253366545149802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1473": {
      "node_id": "node_1473",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 126.80 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.23e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.79731629889544,
      "fos_buckling": 0.48978648344948167,
      "fos_yielding": 3.228186410418631,
      "deflection": 0.022338555119439208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.420)"
      },
      "parent_node_id": "node_1472",
      "improvement_over_parent": null
    },
    "node_1474": {
      "node_id": "node_1474",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 129.41 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.4077644595465,
      "fos_buckling": 0.4896777394832173,
      "fos_yielding": 3.2278531107387276,
      "deflection": 0.02041471702021333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.511)"
      },
      "parent_node_id": "node_1473",
      "improvement_over_parent": null
    },
    "node_1475": {
      "node_id": "node_1475",
      "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 130.51 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.50830673478941,
      "fos_buckling": 0.4897235791070162,
      "fos_yielding": 3.2044321030315275,
      "deflection": 0.020269975112030113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.471)"
      },
      "parent_node_id": "node_1474",
      "improvement_over_parent": null
    },
    "node_1476": {
      "node_id": "node_1476",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 165.19 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.18903613678737,
      "fos_buckling": 0.5989628564790352,
      "fos_yielding": 4.05210399274692,
      "deflection": 0.016087944311940744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1475",
      "improvement_over_parent": null
    },
    "node_1477": {
      "node_id": "node_1477",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n  Mass: 174.58 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.58200209336718,
      "fos_buckling": 1.342903346584538,
      "fos_yielding": 4.126267891523416,
      "deflection": 0.013105887293300901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004727)"
      },
      "parent_node_id": "node_1476",
      "improvement_over_parent": null
    },
    "node_1478": {
      "node_id": "node_1478",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6224339466034,
      "fos_buckling": 1.5299338077847353,
      "fos_yielding": 4.832429026188986,
      "deflection": 0.011230869383290694,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1477",
      "improvement_over_parent": null
    },
    "node_1479": {
      "node_id": "node_1479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1478",
      "improvement_over_parent": null
    },
    "node_1480": {
      "node_id": "node_1480",
      "content": "INITIAL DESIGN (Trace 211)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 172.68 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.67780346841997,
      "fos_buckling": 0.3378046407338364,
      "fos_yielding": 2.0617654463397694,
      "deflection": 0.02994124507263957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1481": {
      "node_id": "node_1481",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 174.44 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.43894237943394,
      "fos_buckling": 0.33775484100015046,
      "fos_yielding": 2.061322005829504,
      "deflection": 0.029947904075708343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.285)"
      },
      "parent_node_id": "node_1480",
      "improvement_over_parent": null
    },
    "node_1482": {
      "node_id": "node_1482",
      "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.67 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.66888476696113,
      "fos_buckling": 0.3376070404006466,
      "fos_yielding": 2.0771341140535204,
      "deflection": 0.029516782762691502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.639)"
      },
      "parent_node_id": "node_1481",
      "improvement_over_parent": null
    },
    "node_1483": {
      "node_id": "node_1483",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n  Mass: 189.21 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.2070044157818,
      "fos_buckling": 0.3373378215223135,
      "fos_yielding": 2.074703046927534,
      "deflection": 0.028221220945749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004460)"
      },
      "parent_node_id": "node_1482",
      "improvement_over_parent": null
    },
    "node_1484": {
      "node_id": "node_1484",
      "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n  Mass: 191.57 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.56988305133765,
      "fos_buckling": 0.3372711942681239,
      "fos_yielding": 2.074101677833917,
      "deflection": 0.028073918107118317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.346)"
      },
      "parent_node_id": "node_1483",
      "improvement_over_parent": null
    },
    "node_1485": {
      "node_id": "node_1485",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.06 kg\n  Factor of Safety: 1.36\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": 204.0576901283544,
      "fos_buckling": 1.3566038477556852,
      "fos_yielding": 4.768252341382207,
      "deflection": 0.011337493592582206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_1484",
      "improvement_over_parent": null
    },
    "node_1486": {
      "node_id": "node_1486",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1485",
      "improvement_over_parent": null
    },
    "node_1487": {
      "node_id": "node_1487",
      "content": "INITIAL DESIGN (Trace 212)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 105.27 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.27384420051106,
      "fos_buckling": 0.22646017132151666,
      "fos_yielding": 2.430483904232747,
      "deflection": 0.028104409484916486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1488": {
      "node_id": "node_1488",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n\nPerformance:\n  Mass: 111.72 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.50e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.71950776064091,
      "fos_buckling": 0.2258473595422708,
      "fos_yielding": 2.4291962346279767,
      "deflection": 0.025005684098718346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003165)"
      },
      "parent_node_id": "node_1487",
      "improvement_over_parent": null
    },
    "node_1489": {
      "node_id": "node_1489",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n\nPerformance:\n  Mass: 144.24 kg\n  Factor of Safety: 0.28\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.23502852090542,
      "fos_buckling": 0.28418245194748165,
      "fos_yielding": 3.1308200393782943,
      "deflection": 0.019461760267485872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_1488",
      "improvement_over_parent": null
    },
    "node_1490": {
      "node_id": "node_1490",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n  Mass: 159.22 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.21898182986806,
      "fos_buckling": 0.3099698456604702,
      "fos_yielding": 3.4533282767797724,
      "deflection": 0.01766895682807362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1489",
      "improvement_over_parent": null
    },
    "node_1491": {
      "node_id": "node_1491",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n  Mass: 169.67 kg\n  Factor of Safety: 1.23\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": 169.67116404883097,
      "fos_buckling": 1.2347369896795126,
      "fos_yielding": 4.052508330510653,
      "deflection": 0.013446171251886588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004921)"
      },
      "parent_node_id": "node_1490",
      "improvement_over_parent": null
    },
    "node_1492": {
      "node_id": "node_1492",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 203.67 kg\n  Factor of Safety: 1.44\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": 203.67419213678994,
      "fos_buckling": 1.4374454322196952,
      "fos_yielding": 4.859734585632874,
      "deflection": 0.01125758981646351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1491",
      "improvement_over_parent": null
    },
    "node_1493": {
      "node_id": "node_1493",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84889129358868,
      "fos_buckling": 1.531320987093684,
      "fos_yielding": 4.840437737127916,
      "deflection": 0.01121879410284156,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.312)"
      },
      "parent_node_id": "node_1492",
      "improvement_over_parent": null
    },
    "node_1494": {
      "node_id": "node_1494",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1493",
      "improvement_over_parent": null
    },
    "node_1495": {
      "node_id": "node_1495",
      "content": "INITIAL DESIGN (Trace 213)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 99.68 kg\n  Factor of Safety: 0.80\n  Max Deflection: 2.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.67864027196661,
      "fos_buckling": 0.8040476681973862,
      "fos_yielding": 2.4053121762527816,
      "deflection": 0.022516408302176497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1496": {
      "node_id": "node_1496",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 122.03 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.02611720579624,
      "fos_buckling": 0.9647643115223302,
      "fos_yielding": 2.942370605736684,
      "deflection": 0.01845471552137837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1495",
      "improvement_over_parent": null
    },
    "node_1497": {
      "node_id": "node_1497",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 136.30 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.2984339166002,
      "fos_buckling": 1.063703066005804,
      "fos_yielding": 3.284935590418376,
      "deflection": 0.016557661188587754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1496",
      "improvement_over_parent": null
    },
    "node_1498": {
      "node_id": "node_1498",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 166.44 kg\n  Factor of Safety: 1.26\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": 166.4434482406707,
      "fos_buckling": 1.2632402403670149,
      "fos_yielding": 4.00736460951434,
      "deflection": 0.0136201452938038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1497",
      "improvement_over_parent": null
    },
    "node_1499": {
      "node_id": "node_1499",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.20 kg\n  Factor of Safety: 1.48\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": 201.2006404462995,
      "fos_buckling": 1.4775196671466038,
      "fos_yielding": 4.8384210147577225,
      "deflection": 0.011325805407527877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1498",
      "improvement_over_parent": null
    },
    "node_1500": {
      "node_id": "node_1500",
      "content": "MODIFICATION: Increase 19 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76454356156148,
      "fos_buckling": 1.5307316719820636,
      "fos_yielding": 4.838456560804785,
      "deflection": 0.011223198827456288,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.379)"
      },
      "parent_node_id": "node_1499",
      "improvement_over_parent": null
    },
    "node_1501": {
      "node_id": "node_1501",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 214)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 147.19 kg\n  Factor of Safety: 0.25\n  Max Deflection: 5.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.18527496305362,
      "fos_buckling": 0.24831748936838555,
      "fos_yielding": 0.765179727073502,
      "deflection": 0.0501880284014786,
      "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 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n  Mass: 156.79 kg\n  Factor of Safety: 0.25\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": 156.7946157299492,
      "fos_buckling": 0.24771607967247283,
      "fos_yielding": 1.20881295196309,
      "deflection": 0.040997776777953195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004845)"
      },
      "parent_node_id": "node_1502",
      "improvement_over_parent": null
    },
    "node_1504": {
      "node_id": "node_1504",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n  Mass: 165.05 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.04905187948054,
      "fos_buckling": 0.24754441188613271,
      "fos_yielding": 1.2079611071357546,
      "deflection": 0.03863763066784639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004850)"
      },
      "parent_node_id": "node_1503",
      "improvement_over_parent": null
    },
    "node_1505": {
      "node_id": "node_1505",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 178.29 kg\n  Factor of Safety: 1.37\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": 178.29480682497982,
      "fos_buckling": 1.3684880142141018,
      "fos_yielding": 4.216307722849466,
      "deflection": 0.01281712673841017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006144)"
      },
      "parent_node_id": "node_1504",
      "improvement_over_parent": null
    },
    "node_1506": {
      "node_id": "node_1506",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 179.26 kg\n  Factor of Safety: 1.39\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.25700738461313,
      "fos_buckling": 1.3859275147009724,
      "fos_yielding": 4.215578884491428,
      "deflection": 0.012806661081635905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.397)"
      },
      "parent_node_id": "node_1505",
      "improvement_over_parent": null
    },
    "node_1507": {
      "node_id": "node_1507",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.50565628825612,
      "fos_buckling": 1.5497614389727148,
      "fos_yielding": 4.830042164713617,
      "deflection": 0.011212849853414475,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1506",
      "improvement_over_parent": null
    },
    "node_1508": {
      "node_id": "node_1508",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1507",
      "improvement_over_parent": null
    },
    "node_1509": {
      "node_id": "node_1509",
      "content": "INITIAL DESIGN (Trace 215)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 132.26 kg\n  Factor of Safety: 0.82\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": 132.26353488451727,
      "fos_buckling": 0.8234639080107573,
      "fos_yielding": 3.4425016680190774,
      "deflection": 0.01760501127922287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1510": {
      "node_id": "node_1510",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n\nPerformance:\n  Mass: 142.15 kg\n  Factor of Safety: 0.97\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": 142.15092396909262,
      "fos_buckling": 0.9689676275909989,
      "fos_yielding": 3.051978901551905,
      "deflection": 0.01610996614831473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004374)"
      },
      "parent_node_id": "node_1509",
      "improvement_over_parent": null
    },
    "node_1511": {
      "node_id": "node_1511",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n  Mass: 160.69 kg\n  Factor of Safety: 1.08\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": 160.68809515571564,
      "fos_buckling": 1.0835285571450122,
      "fos_yielding": 3.454054699197149,
      "deflection": 0.014288126270179887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1510",
      "improvement_over_parent": null
    },
    "node_1512": {
      "node_id": "node_1512",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 199.69 kg\n  Factor of Safety: 1.32\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": 199.69094239012665,
      "fos_buckling": 1.3155908884018188,
      "fos_yielding": 4.304104461516409,
      "deflection": 0.011559352330434328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1511",
      "improvement_over_parent": null
    },
    "node_1513": {
      "node_id": "node_1513",
      "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 200.91 kg\n  Factor of Safety: 1.45\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": 200.91241062053615,
      "fos_buckling": 1.4460083870070461,
      "fos_yielding": 4.827412963137624,
      "deflection": 0.011482408211100336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.339)"
      },
      "parent_node_id": "node_1512",
      "improvement_over_parent": null
    },
    "node_1514": {
      "node_id": "node_1514",
      "content": "MODIFICATION: Increase 16 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66564481939756,
      "fos_buckling": 1.5301639912122942,
      "fos_yielding": 4.836054587496247,
      "deflection": 0.0112286521563155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.567)"
      },
      "parent_node_id": "node_1513",
      "improvement_over_parent": null
    },
    "node_1515": {
      "node_id": "node_1515",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1514",
      "improvement_over_parent": null
    },
    "node_1516": {
      "node_id": "node_1516",
      "content": "INITIAL DESIGN (Trace 216)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 123.94 kg\n  Factor of Safety: 0.31\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": 123.94201716636832,
      "fos_buckling": 0.311516166699061,
      "fos_yielding": 3.2541320932438547,
      "deflection": 0.0196316458199147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1517": {
      "node_id": "node_1517",
      "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.81 kg\n  Factor of Safety: 0.30\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.80626557159587,
      "fos_buckling": 0.30188223019587224,
      "fos_yielding": 3.2540758432528865,
      "deflection": 0.019205788127314407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.462)"
      },
      "parent_node_id": "node_1516",
      "improvement_over_parent": null
    },
    "node_1518": {
      "node_id": "node_1518",
      "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 128.33 kg\n  Factor of Safety: 0.30\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.3327667360773,
      "fos_buckling": 0.3019353980650507,
      "fos_yielding": 3.2753541589038644,
      "deflection": 0.01898037994630041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.238)"
      },
      "parent_node_id": "node_1517",
      "improvement_over_parent": null
    },
    "node_1519": {
      "node_id": "node_1519",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 129.52 kg\n  Factor of Safety: 0.30\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.51901743697752,
      "fos_buckling": 0.30197672798106867,
      "fos_yielding": 3.2585141363052816,
      "deflection": 0.018911815183854062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.538)"
      },
      "parent_node_id": "node_1518",
      "improvement_over_parent": null
    },
    "node_1520": {
      "node_id": "node_1520",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 153.07 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.06731223659003,
      "fos_buckling": 0.3486014818174661,
      "fos_yielding": 3.848681717708071,
      "deflection": 0.016055015237657552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1519",
      "improvement_over_parent": null
    },
    "node_1521": {
      "node_id": "node_1521",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 169.19 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.18778919685482,
      "fos_buckling": 0.37907958180402374,
      "fos_yielding": 4.252291554615082,
      "deflection": 0.014557873977784293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1520",
      "improvement_over_parent": null
    },
    "node_1522": {
      "node_id": "node_1522",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.37 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.3662378107023,
      "fos_buckling": 0.42609952931221406,
      "fos_yielding": 4.907029309025284,
      "deflection": 0.01265301976470105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1521",
      "improvement_over_parent": null
    },
    "node_1523": {
      "node_id": "node_1523",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.88 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.88189562770265,
      "fos_buckling": 1.5314179297214172,
      "fos_yielding": 4.841207978507171,
      "deflection": 0.011216801420991039,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_1522",
      "improvement_over_parent": null
    },
    "node_1524": {
      "node_id": "node_1524",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 217)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 142.85 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.79e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.85143839789296,
      "fos_buckling": 0.2968972043776693,
      "fos_yielding": 1.138585895683147,
      "deflection": 0.037853481208771696,
      "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 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 144.55 kg\n  Factor of Safety: 0.30\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": 144.54874982669816,
      "fos_buckling": 0.296854820660523,
      "fos_yielding": 1.1384145101742331,
      "deflection": 0.03786114473518746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.328)"
      },
      "parent_node_id": "node_1525",
      "improvement_over_parent": null
    },
    "node_1527": {
      "node_id": "node_1527",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n  Mass: 147.20 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.50e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.20283867076242,
      "fos_buckling": 0.29672234774101747,
      "fos_yielding": 1.7633389804878086,
      "deflection": 0.03503067711914705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003499)"
      },
      "parent_node_id": "node_1526",
      "improvement_over_parent": null
    },
    "node_1528": {
      "node_id": "node_1528",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 172.74 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.74068091392067,
      "fos_buckling": 0.33763575893601205,
      "fos_yielding": 2.0596968211448776,
      "deflection": 0.029983897085052568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1527",
      "improvement_over_parent": null
    },
    "node_1529": {
      "node_id": "node_1529",
      "content": "MODIFICATION: Increase 18 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n\nPerformance:\n  Mass: 174.17 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.99e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.17146137609691,
      "fos_buckling": 0.33755489021603363,
      "fos_yielding": 2.1087650561488993,
      "deflection": 0.02988673727854635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.534)"
      },
      "parent_node_id": "node_1528",
      "improvement_over_parent": null
    },
    "node_1530": {
      "node_id": "node_1530",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 186.71 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.85e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.7104537160662,
      "fos_buckling": 0.3372009901740688,
      "fos_yielding": 2.1054813997853987,
      "deflection": 0.028525274767433995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1529",
      "improvement_over_parent": null
    },
    "node_1531": {
      "node_id": "node_1531",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 199.20 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.19826079308297,
      "fos_buckling": 1.2129250772310423,
      "fos_yielding": 4.833637143685825,
      "deflection": 0.011638139801077179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_1530",
      "improvement_over_parent": null
    },
    "node_1532": {
      "node_id": "node_1532",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1531",
      "improvement_over_parent": null
    },
    "node_1533": {
      "node_id": "node_1533",
      "content": "INITIAL DESIGN (Trace 218)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n  Mass: 110.75 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.74784195653496,
      "fos_buckling": 0.32809131783630735,
      "fos_yielding": 2.1462208327652443,
      "deflection": 0.030502010025197136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1534": {
      "node_id": "node_1534",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 134.10 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.0975121378183,
      "fos_buckling": 0.38749899754190364,
      "fos_yielding": 2.5943513318408717,
      "deflection": 0.025244352811883555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1533",
      "improvement_over_parent": null
    },
    "node_1535": {
      "node_id": "node_1535",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n  Mass: 155.44 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.4407318089026,
      "fos_buckling": 0.4388733417508829,
      "fos_yielding": 3.002603847036874,
      "deflection": 0.0218201954983169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1534",
      "improvement_over_parent": null
    },
    "node_1536": {
      "node_id": "node_1536",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 177.01 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.01365189717077,
      "fos_buckling": 0.48797783524673527,
      "fos_yielding": 3.413899625851727,
      "deflection": 0.019198208169215497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1535",
      "improvement_over_parent": null
    },
    "node_1537": {
      "node_id": "node_1537",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 193.03 kg\n  Factor of Safety: 1.30\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": 193.03411852308136,
      "fos_buckling": 1.2952843836492456,
      "fos_yielding": 4.846098420196971,
      "deflection": 0.012530801852887137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005814)"
      },
      "parent_node_id": "node_1536",
      "improvement_over_parent": null
    },
    "node_1538": {
      "node_id": "node_1538",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 196.00 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.0029948240109,
      "fos_buckling": 1.297804290302419,
      "fos_yielding": 4.847595445405126,
      "deflection": 0.012052819072232861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.250)"
      },
      "parent_node_id": "node_1537",
      "improvement_over_parent": null
    },
    "node_1539": {
      "node_id": "node_1539",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 199.81 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.8141924407799,
      "fos_buckling": 1.2964650597220146,
      "fos_yielding": 4.835971847853653,
      "deflection": 0.011502503114290592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.517)"
      },
      "parent_node_id": "node_1538",
      "improvement_over_parent": null
    },
    "node_1540": {
      "node_id": "node_1540",
      "content": "MODIFICATION: Increase 20 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65969064090473,
      "fos_buckling": 1.5311988414296092,
      "fos_yielding": 4.835555684474967,
      "deflection": 0.011229745315403088,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.332)"
      },
      "parent_node_id": "node_1539",
      "improvement_over_parent": null
    },
    "node_1541": {
      "node_id": "node_1541",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1540",
      "improvement_over_parent": null
    },
    "node_1542": {
      "node_id": "node_1542",
      "content": "INITIAL DESIGN (Trace 219)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 142.15 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.15014092966715,
      "fos_buckling": 1.1116791616910486,
      "fos_yielding": 3.4350327156439535,
      "deflection": 0.016120464771779513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1543": {
      "node_id": "node_1543",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.83 kg\n  Factor of Safety: 1.36\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": 180.8269001096277,
      "fos_buckling": 1.3646834306627287,
      "fos_yielding": 4.363769291591969,
      "deflection": 0.012741560147257141,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1542",
      "improvement_over_parent": null
    },
    "node_1544": {
      "node_id": "node_1544",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.60 kg\n  Factor of Safety: 1.49\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": 200.60420609511655,
      "fos_buckling": 1.4860705794988434,
      "fos_yielding": 4.837668811287302,
      "deflection": 0.011517170918364884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_1543",
      "improvement_over_parent": null
    },
    "node_1545": {
      "node_id": "node_1545",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7152061673365,
      "fos_buckling": 1.5306044308786904,
      "fos_yielding": 4.837259768056232,
      "deflection": 0.011226033879746968,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.447)"
      },
      "parent_node_id": "node_1544",
      "improvement_over_parent": null
    },
    "node_1546": {
      "node_id": "node_1546",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1545",
      "improvement_over_parent": null
    },
    "node_1547": {
      "node_id": "node_1547",
      "content": "INITIAL DESIGN (Trace 220)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_1548": {
      "node_id": "node_1548",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 167.00 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.99722451796387,
      "fos_buckling": 0.7864870342404314,
      "fos_yielding": 4.60041561606136,
      "deflection": 0.014763067500910592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004168)"
      },
      "parent_node_id": "node_1547",
      "improvement_over_parent": null
    },
    "node_1549": {
      "node_id": "node_1549",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 169.77 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.77356743061128,
      "fos_buckling": 0.363278688966114,
      "fos_yielding": 4.60041561606136,
      "deflection": 0.015489629240115868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003674)"
      },
      "parent_node_id": "node_1548",
      "improvement_over_parent": null
    },
    "node_1550": {
      "node_id": "node_1550",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 174.50 kg\n  Factor of Safety: 1.12\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": 174.50385469626727,
      "fos_buckling": 1.117122203557984,
      "fos_yielding": 4.218069294844851,
      "deflection": 0.012906734609903327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003718)"
      },
      "parent_node_id": "node_1549",
      "improvement_over_parent": null
    },
    "node_1551": {
      "node_id": "node_1551",
      "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 175.93 kg\n  Factor of Safety: 1.11\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": 175.92844173963584,
      "fos_buckling": 1.109278245413091,
      "fos_yielding": 4.215602361009566,
      "deflection": 0.012914485569971709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.587)"
      },
      "parent_node_id": "node_1550",
      "improvement_over_parent": null
    },
    "node_1552": {
      "node_id": "node_1552",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 197.41 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.41224419831275,
      "fos_buckling": 1.2149271969891973,
      "fos_yielding": 4.727112881662148,
      "deflection": 0.011543181480584306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1551",
      "improvement_over_parent": null
    },
    "node_1553": {
      "node_id": "node_1553",
      "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 200.64 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.6428116235609,
      "fos_buckling": 1.215947623794521,
      "fos_yielding": 4.7274447002911915,
      "deflection": 0.011418527596202715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.387)"
      },
      "parent_node_id": "node_1552",
      "improvement_over_parent": null
    },
    "node_1554": {
      "node_id": "node_1554",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 201.77 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.76945944384752,
      "fos_buckling": 1.485838776056586,
      "fos_yielding": 4.829520032011569,
      "deflection": 0.011436000543392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_1553",
      "improvement_over_parent": null
    },
    "node_1555": {
      "node_id": "node_1555",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 221)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 158.91 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.9094291557897,
      "fos_buckling": 1.0059338900142212,
      "fos_yielding": 3.9607640366788885,
      "deflection": 0.015215540447157682,
      "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 20 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.34835949347286,
      "fos_buckling": 1.0020624952755666,
      "fos_yielding": 3.960415658789431,
      "deflection": 0.014836313424652015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.379)"
      },
      "parent_node_id": "node_1556",
      "improvement_over_parent": null
    },
    "node_1558": {
      "node_id": "node_1558",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 164.93 kg\n  Factor of Safety: 1.14\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": 164.9290303422667,
      "fos_buckling": 1.143545642978306,
      "fos_yielding": 3.958886463826818,
      "deflection": 0.014268014567752021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.198)"
      },
      "parent_node_id": "node_1557",
      "improvement_over_parent": null
    },
    "node_1559": {
      "node_id": "node_1559",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.78 kg\n  Factor of Safety: 1.36\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": 201.77622734694037,
      "fos_buckling": 1.3613338565629955,
      "fos_yielding": 4.837402539536944,
      "deflection": 0.011717500047263059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1558",
      "improvement_over_parent": null
    },
    "node_1560": {
      "node_id": "node_1560",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6379230935666,
      "fos_buckling": 1.529888678983441,
      "fos_yielding": 4.835301775987634,
      "deflection": 0.011229851327154799,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.255)"
      },
      "parent_node_id": "node_1559",
      "improvement_over_parent": null
    },
    "node_1561": {
      "node_id": "node_1561",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1560",
      "improvement_over_parent": null
    },
    "node_1562": {
      "node_id": "node_1562",
      "content": "INITIAL DESIGN (Trace 222)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 150.25 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.24879981567727,
      "fos_buckling": 0.19728103852171944,
      "fos_yielding": 3.816478814418479,
      "deflection": 0.016010971870340868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1563": {
      "node_id": "node_1563",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 152.10 kg\n  Factor of Safety: 0.20\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": 152.09857871857062,
      "fos_buckling": 0.1972505393054913,
      "fos_yielding": 3.8158781091989624,
      "deflection": 0.01590904791504166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.323)"
      },
      "parent_node_id": "node_1562",
      "improvement_over_parent": null
    },
    "node_1564": {
      "node_id": "node_1564",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.40 kg\n  Factor of Safety: 0.23\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": 179.40155634686047,
      "fos_buckling": 0.22663580253513008,
      "fos_yielding": 4.511513519484906,
      "deflection": 0.013501499258073897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1563",
      "improvement_over_parent": null
    },
    "node_1565": {
      "node_id": "node_1565",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.91 kg\n  Factor of Safety: 0.23\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": 184.9089564791027,
      "fos_buckling": 0.2270245286191415,
      "fos_yielding": 4.508000289172383,
      "deflection": 0.012979383416378476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.575)"
      },
      "parent_node_id": "node_1564",
      "improvement_over_parent": null
    },
    "node_1566": {
      "node_id": "node_1566",
      "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.15 kg\n  Factor of Safety: 0.23\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": 186.15336636782556,
      "fos_buckling": 0.22804442788309415,
      "fos_yielding": 4.507841653874324,
      "deflection": 0.012960448078761552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.209)"
      },
      "parent_node_id": "node_1565",
      "improvement_over_parent": null
    },
    "node_1567": {
      "node_id": "node_1567",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 197.58 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.58056653386518,
      "fos_buckling": 1.1848787756677361,
      "fos_yielding": 4.846861678718889,
      "deflection": 0.012488291108007485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_1566",
      "improvement_over_parent": null
    },
    "node_1568": {
      "node_id": "node_1568",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 202.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.59926223004564,
      "fos_buckling": 1.5312643679076456,
      "fos_yielding": 4.84270331973482,
      "deflection": 0.011484773442464798,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.541)"
      },
      "parent_node_id": "node_1567",
      "improvement_over_parent": null
    },
    "node_1569": {
      "node_id": "node_1569",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72100607465313,
      "fos_buckling": 1.530481195386801,
      "fos_yielding": 4.83714963891317,
      "deflection": 0.011225347939293903,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.238)"
      },
      "parent_node_id": "node_1568",
      "improvement_over_parent": null
    },
    "node_1570": {
      "node_id": "node_1570",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1569",
      "improvement_over_parent": null
    },
    "node_1571": {
      "node_id": "node_1571",
      "content": "INITIAL DESIGN (Trace 223)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 121.16 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.15569889559322,
      "fos_buckling": 0.34422908215852555,
      "fos_yielding": 2.837476015102506,
      "deflection": 0.024130796942529627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1572": {
      "node_id": "node_1572",
      "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 123.38 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.37540421225216,
      "fos_buckling": 0.34429407838658727,
      "fos_yielding": 2.838008303656604,
      "deflection": 0.023530037158390332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.368)"
      },
      "parent_node_id": "node_1571",
      "improvement_over_parent": null
    },
    "node_1573": {
      "node_id": "node_1573",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 145.11 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.10707855101623,
      "fos_buckling": 0.4000716612766919,
      "fos_yielding": 3.325744808541574,
      "deflection": 0.02005120197547979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1572",
      "improvement_over_parent": null
    },
    "node_1574": {
      "node_id": "node_1574",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 147.71 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.71494793531377,
      "fos_buckling": 0.3998061724689428,
      "fos_yielding": 3.323554610771794,
      "deflection": 0.019237097520966744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.290)"
      },
      "parent_node_id": "node_1573",
      "improvement_over_parent": null
    },
    "node_1575": {
      "node_id": "node_1575",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 154.00 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.00269036806705,
      "fos_buckling": 0.40001951490956106,
      "fos_yielding": 3.8439855611706886,
      "deflection": 0.017911011022619976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003749)"
      },
      "parent_node_id": "node_1574",
      "improvement_over_parent": null
    },
    "node_1576": {
      "node_id": "node_1576",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 190.65 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.65240678726528,
      "fos_buckling": 0.48577329306465084,
      "fos_yielding": 4.752899095649399,
      "deflection": 0.014523810385995364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1575",
      "improvement_over_parent": null
    },
    "node_1577": {
      "node_id": "node_1577",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 201.67 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.66806366315225,
      "fos_buckling": 1.327378188103122,
      "fos_yielding": 4.846789392284603,
      "deflection": 0.011295108043579732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1576",
      "improvement_over_parent": null
    },
    "node_1578": {
      "node_id": "node_1578",
      "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0088)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 206.94 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.93985641262358,
      "fos_buckling": 1.3645097328160984,
      "fos_yielding": 4.847850003104723,
      "deflection": 0.01151514829955267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.536)"
      },
      "parent_node_id": "node_1577",
      "improvement_over_parent": null
    },
    "node_1579": {
      "node_id": "node_1579",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1578",
      "improvement_over_parent": null
    },
    "node_1580": {
      "node_id": "node_1580",
      "content": "INITIAL DESIGN (Trace 224)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0018)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n  Mass: 93.73 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.72549318259207,
      "fos_buckling": 0.28954295460578017,
      "fos_yielding": 1.7049622927960026,
      "deflection": 0.034628445247655404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1581": {
      "node_id": "node_1581",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n  Mass: 109.26 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.25882399603542,
      "fos_buckling": 0.33198061349459196,
      "fos_yielding": 1.9925800744895132,
      "deflection": 0.029750558773077043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1580",
      "improvement_over_parent": null
    },
    "node_1582": {
      "node_id": "node_1582",
      "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n  Mass: 110.63 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.63122479320423,
      "fos_buckling": 0.33198061349459174,
      "fos_yielding": 2.1748145530430736,
      "deflection": 0.029636102565037646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.623)"
      },
      "parent_node_id": "node_1581",
      "improvement_over_parent": null
    },
    "node_1583": {
      "node_id": "node_1583",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n\nPerformance:\n  Mass: 116.67 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.67283884176058,
      "fos_buckling": 0.33180959384608566,
      "fos_yielding": 2.1742130513771034,
      "deflection": 0.0289245843299066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003206)"
      },
      "parent_node_id": "node_1582",
      "improvement_over_parent": null
    },
    "node_1584": {
      "node_id": "node_1584",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n\nPerformance:\n  Mass: 131.03 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.02634535461718,
      "fos_buckling": 0.3672509890088701,
      "fos_yielding": 2.439729383532476,
      "deflection": 0.025791233557953104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1583",
      "improvement_over_parent": null
    },
    "node_1585": {
      "node_id": "node_1585",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 159.25 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.24719651307163,
      "fos_buckling": 0.4335442862247505,
      "fos_yielding": 2.960525998845245,
      "deflection": 0.02127767439807923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_1584",
      "improvement_over_parent": null
    },
    "node_1586": {
      "node_id": "node_1586",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 177.32 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.31965405022555,
      "fos_buckling": 1.36112432966193,
      "fos_yielding": 4.1943986826973525,
      "deflection": 0.012909192940916588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006620)"
      },
      "parent_node_id": "node_1585",
      "improvement_over_parent": null
    },
    "node_1587": {
      "node_id": "node_1587",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.44018426833554,
      "fos_buckling": 1.529525278051157,
      "fos_yielding": 4.8323807363660745,
      "deflection": 0.011241004717649139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1586",
      "improvement_over_parent": null
    },
    "node_1588": {
      "node_id": "node_1588",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1587",
      "improvement_over_parent": null
    },
    "node_1589": {
      "node_id": "node_1589",
      "content": "INITIAL DESIGN (Trace 225)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n\nPerformance:\n  Mass: 85.87 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.86e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.8724176045135,
      "fos_buckling": 0.3655850587070202,
      "fos_yielding": 1.9721688255087158,
      "deflection": 28647058605212.402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1590": {
      "node_id": "node_1590",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n\nPerformance:\n  Mass: 101.61 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.86e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.60885846921204,
      "fos_buckling": 0.5330729783868163,
      "fos_yielding": 2.9084678581250207,
      "deflection": 18640645175844.24,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1589",
      "improvement_over_parent": null
    },
    "node_1591": {
      "node_id": "node_1591",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n  Mass: 129.51 kg\n  Factor of Safety: 0.09\n  Max Deflection: 5.01e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.51371894396144,
      "fos_buckling": 0.09057098199358439,
      "fos_yielding": 0.49304220637717894,
      "deflection": 50145957731107.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1590",
      "improvement_over_parent": null
    },
    "node_1592": {
      "node_id": "node_1592",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 145.54 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.54447071994298,
      "fos_buckling": 0.879403763492906,
      "fos_yielding": 3.971239524281309,
      "deflection": 0.01692731801842657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005818)"
      },
      "parent_node_id": "node_1591",
      "improvement_over_parent": null
    },
    "node_1593": {
      "node_id": "node_1593",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.30 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.30178425296734,
      "fos_buckling": 1.0938124885107412,
      "fos_yielding": 5.163841207117921,
      "deflection": 0.013108422029930745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1592",
      "improvement_over_parent": null
    },
    "node_1594": {
      "node_id": "node_1594",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 190.02 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.017916079441,
      "fos_buckling": 1.0937240234290553,
      "fos_yielding": 5.163841207117922,
      "deflection": 0.013069494475447235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1593",
      "improvement_over_parent": null
    },
    "node_1595": {
      "node_id": "node_1595",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 199.48 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.48223064149582,
      "fos_buckling": 1.1539013304342873,
      "fos_yielding": 5.163841207117922,
      "deflection": 0.011862644928855958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_1594",
      "improvement_over_parent": null
    },
    "node_1596": {
      "node_id": "node_1596",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7902761184903,
      "fos_buckling": 1.5306345016099336,
      "fos_yielding": 4.839274686278808,
      "deflection": 0.011221808409744172,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1595",
      "improvement_over_parent": null
    },
    "node_1597": {
      "node_id": "node_1597",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1596",
      "improvement_over_parent": null
    },
    "node_1598": {
      "node_id": "node_1598",
      "content": "INITIAL DESIGN (Trace 226)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_1599": {
      "node_id": "node_1599",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 147.32 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.31670861291627,
      "fos_buckling": 0.7956567090509968,
      "fos_yielding": 4.107777760763487,
      "deflection": 0.01950223562085815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003687)"
      },
      "parent_node_id": "node_1598",
      "improvement_over_parent": null
    },
    "node_1600": {
      "node_id": "node_1600",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n  Mass: 151.54 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.54067718512053,
      "fos_buckling": 0.7953739851319067,
      "fos_yielding": 3.9053418798148734,
      "deflection": 0.01893707790805025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003290)"
      },
      "parent_node_id": "node_1599",
      "improvement_over_parent": null
    },
    "node_1601": {
      "node_id": "node_1601",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 152.11 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.11028503799199,
      "fos_buckling": 0.37879616599097476,
      "fos_yielding": 3.905286698048667,
      "deflection": 0.01692937114432986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001558)"
      },
      "parent_node_id": "node_1600",
      "improvement_over_parent": null
    },
    "node_1602": {
      "node_id": "node_1602",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 159.68 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.68256650368954,
      "fos_buckling": 1.0310398156657155,
      "fos_yielding": 3.8467892572309745,
      "deflection": 0.014800853241393751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004078)"
      },
      "parent_node_id": "node_1601",
      "improvement_over_parent": null
    },
    "node_1603": {
      "node_id": "node_1603",
      "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0062)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 162.63 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.6265690252682,
      "fos_buckling": 1.027646094359525,
      "fos_yielding": 3.8745917722779444,
      "deflection": 0.014639037166584953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.325)"
      },
      "parent_node_id": "node_1602",
      "improvement_over_parent": null
    },
    "node_1604": {
      "node_id": "node_1604",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0077)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0062)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 166.83 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.8305980147734,
      "fos_buckling": 1.0351917196342966,
      "fos_yielding": 3.8725857780287622,
      "deflection": 0.013927935153803257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.385)"
      },
      "parent_node_id": "node_1603",
      "improvement_over_parent": null
    },
    "node_1605": {
      "node_id": "node_1605",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0099)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0080)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 209.46 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.4604626286636,
      "fos_buckling": 1.2641679950007398,
      "fos_yielding": 4.861325940536665,
      "deflection": 0.011155681595061511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1604",
      "improvement_over_parent": null
    },
    "node_1606": {
      "node_id": "node_1606",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1605",
      "improvement_over_parent": null
    },
    "node_1607": {
      "node_id": "node_1607",
      "content": "INITIAL DESIGN (Trace 227)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 120.68 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.98e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.67866973950835,
      "fos_buckling": 0.04228627563338024,
      "fos_yielding": 0.9860844127543579,
      "deflection": 29790999610719.69,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1608": {
      "node_id": "node_1608",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 138.36 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.18e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.3624902124256,
      "fos_buckling": 0.4454622379827875,
      "fos_yielding": 2.209773996583538,
      "deflection": 11761602160534.393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1607",
      "improvement_over_parent": null
    },
    "node_1609": {
      "node_id": "node_1609",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 140.79 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.51e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.78617289096016,
      "fos_buckling": 0.890924475965575,
      "fos_yielding": 2.729355904647368,
      "deflection": 15108582127577.63,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)"
      },
      "parent_node_id": "node_1608",
      "improvement_over_parent": null
    },
    "node_1610": {
      "node_id": "node_1610",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 150.50 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.50295690907257,
      "fos_buckling": 0.3463303311769457,
      "fos_yielding": 2.6928122619576156,
      "deflection": 0.016316540522661422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)"
      },
      "parent_node_id": "node_1609",
      "improvement_over_parent": null
    },
    "node_1611": {
      "node_id": "node_1611",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n  Mass: 157.91 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.90734938426033,
      "fos_buckling": 0.948737600120025,
      "fos_yielding": 2.657680734307754,
      "deflection": 0.014490748234554054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003981)"
      },
      "parent_node_id": "node_1610",
      "improvement_over_parent": null
    },
    "node_1612": {
      "node_id": "node_1612",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 202.82 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.82307036750544,
      "fos_buckling": 1.1928893326919885,
      "fos_yielding": 3.432610176528199,
      "deflection": 0.011354573420978918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_1611",
      "improvement_over_parent": null
    },
    "node_1613": {
      "node_id": "node_1613",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0037)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 203.28 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.2777917882833,
      "fos_buckling": 1.1948283417127972,
      "fos_yielding": 3.4381897905919683,
      "deflection": 0.01135929391513689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.466)"
      },
      "parent_node_id": "node_1612",
      "improvement_over_parent": null
    },
    "node_1614": {
      "node_id": "node_1614",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1613",
      "improvement_over_parent": null
    },
    "node_1615": {
      "node_id": "node_1615",
      "content": "INITIAL DESIGN (Trace 228)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 160.06 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.05608400856147,
      "fos_buckling": 1.0077877460839217,
      "fos_yielding": 4.315442742630907,
      "deflection": 0.015737137592009412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1616": {
      "node_id": "node_1616",
      "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 161.74 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.74466650807764,
      "fos_buckling": 1.0077395903708157,
      "fos_yielding": 4.31523653529861,
      "deflection": 0.01525733497619198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.393)"
      },
      "parent_node_id": "node_1615",
      "improvement_over_parent": null
    },
    "node_1617": {
      "node_id": "node_1617",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.02 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.01808404676478,
      "fos_buckling": 1.0943244796716134,
      "fos_yielding": 4.779668253043453,
      "deflection": 0.013819955223642792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1616",
      "improvement_over_parent": null
    },
    "node_1618": {
      "node_id": "node_1618",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 192.90 kg\n  Factor of Safety: 1.15\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": 192.90299092238638,
      "fos_buckling": 1.1541875771865755,
      "fos_yielding": 3.926092962093714,
      "deflection": 0.012426706482548379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1617",
      "improvement_over_parent": null
    },
    "node_1619": {
      "node_id": "node_1619",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 194.50 kg\n  Factor of Safety: 1.15\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": 194.50474129445433,
      "fos_buckling": 1.1537309106660947,
      "fos_yielding": 3.9260291414464454,
      "deflection": 0.012206341668828651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.253)"
      },
      "parent_node_id": "node_1618",
      "improvement_over_parent": null
    },
    "node_1620": {
      "node_id": "node_1620",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 199.81 kg\n  Factor of Safety: 1.21\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": 199.81278677144883,
      "fos_buckling": 1.2105500259734794,
      "fos_yielding": 3.9268087075248976,
      "deflection": 0.011565951537160042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1619",
      "improvement_over_parent": null
    },
    "node_1621": {
      "node_id": "node_1621",
      "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.59726550600158,
      "fos_buckling": 1.2104494960578387,
      "fos_yielding": 3.926482606381092,
      "deflection": 0.011403936241833957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.439)"
      },
      "parent_node_id": "node_1620",
      "improvement_over_parent": null
    },
    "node_1622": {
      "node_id": "node_1622",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 208.00 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.00095140141184,
      "fos_buckling": 1.2461035338413435,
      "fos_yielding": 4.0421379556212855,
      "deflection": 0.01116473364187357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.346)"
      },
      "parent_node_id": "node_1621",
      "improvement_over_parent": null
    },
    "node_1623": {
      "node_id": "node_1623",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1622",
      "improvement_over_parent": null
    },
    "node_1624": {
      "node_id": "node_1624",
      "content": "INITIAL DESIGN (Trace 229)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0019)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n  Mass: 81.21 kg\n  Factor of Safety: 0.13\n  Max Deflection: 3.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 81.20554764921228,
      "fos_buckling": 0.13334795999571483,
      "fos_yielding": 1.9049764092537154,
      "deflection": 0.03668620837916917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1625": {
      "node_id": "node_1625",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 97.42 kg\n  Factor of Safety: 0.16\n  Max Deflection: 3.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.4193729035265,
      "fos_buckling": 0.15713063889810874,
      "fos_yielding": 2.278991952199157,
      "deflection": 0.03064836895520598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1624",
      "improvement_over_parent": null
    },
    "node_1626": {
      "node_id": "node_1626",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 125.39 kg\n  Factor of Safety: 0.20\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.38671490544623,
      "fos_buckling": 0.19597720362626606,
      "fos_yielding": 2.919232387944351,
      "deflection": 0.02390311513060397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1625",
      "improvement_over_parent": null
    },
    "node_1627": {
      "node_id": "node_1627",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 148.67 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.67156116200758,
      "fos_buckling": 0.2262418092490515,
      "fos_yielding": 3.4475700900372077,
      "deflection": 0.0202229709983947,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1626",
      "improvement_over_parent": null
    },
    "node_1628": {
      "node_id": "node_1628",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n  Mass: 156.67 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.6686634944106,
      "fos_buckling": 0.38977023916860914,
      "fos_yielding": 3.476476270843161,
      "deflection": 0.01843323648216982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004325)"
      },
      "parent_node_id": "node_1627",
      "improvement_over_parent": null
    },
    "node_1629": {
      "node_id": "node_1629",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 186.55 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.54518179840204,
      "fos_buckling": 0.44797543917058064,
      "fos_yielding": 4.131849627681553,
      "deflection": 0.015538106442872988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1628",
      "improvement_over_parent": null
    },
    "node_1630": {
      "node_id": "node_1630",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 191.99 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.98644356713885,
      "fos_buckling": 0.4473723910256714,
      "fos_yielding": 4.130745411414561,
      "deflection": 0.014370251788498501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.613)"
      },
      "parent_node_id": "node_1629",
      "improvement_over_parent": null
    },
    "node_1631": {
      "node_id": "node_1631",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52543590710815,
      "fos_buckling": 1.5291800506540967,
      "fos_yielding": 4.832184339503903,
      "deflection": 0.011236556825568424,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1630",
      "improvement_over_parent": null
    },
    "node_1632": {
      "node_id": "node_1632",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1631",
      "improvement_over_parent": null
    },
    "node_1633": {
      "node_id": "node_1633",
      "content": "INITIAL DESIGN (Trace 230)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 147.66 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.61e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.65625699483803,
      "fos_buckling": 1.3771614614646734,
      "fos_yielding": 4.134818101949047,
      "deflection": 6612900085911.708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1634": {
      "node_id": "node_1634",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 166.41 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.32e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.40860108032712,
      "fos_buckling": 1.0361557640458972,
      "fos_yielding": 4.659508580596489,
      "deflection": 13209026682770.652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1633",
      "improvement_over_parent": null
    },
    "node_1635": {
      "node_id": "node_1635",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 173.43 kg\n  Factor of Safety: 0.41\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": 173.4294762861152,
      "fos_buckling": 0.41289764222175795,
      "fos_yielding": 3.735291841798849,
      "deflection": 0.01586140512350698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004224)"
      },
      "parent_node_id": "node_1634",
      "improvement_over_parent": null
    },
    "node_1636": {
      "node_id": "node_1636",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n  Mass: 184.75 kg\n  Factor of Safety: 1.41\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": 184.7454110059178,
      "fos_buckling": 1.4076179385409606,
      "fos_yielding": 4.367692061926606,
      "deflection": 0.012403301022572071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005363)"
      },
      "parent_node_id": "node_1635",
      "improvement_over_parent": null
    },
    "node_1637": {
      "node_id": "node_1637",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75007628031707,
      "fos_buckling": 1.5307121705659716,
      "fos_yielding": 4.838041544129636,
      "deflection": 0.011224103845386283,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1636",
      "improvement_over_parent": null
    },
    "node_1638": {
      "node_id": "node_1638",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1637",
      "improvement_over_parent": null
    },
    "node_1639": {
      "node_id": "node_1639",
      "content": "INITIAL DESIGN (Trace 231)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 128.83 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.8277498000392,
      "fos_buckling": 0.20411778375853376,
      "fos_yielding": 0.9289282921822619,
      "deflection": 0.04999356415153663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1640": {
      "node_id": "node_1640",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 131.38 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.37707298975096,
      "fos_buckling": 0.20398604144184654,
      "fos_yielding": 0.970400463122578,
      "deflection": 0.04835271184917373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.443)"
      },
      "parent_node_id": "node_1639",
      "improvement_over_parent": null
    },
    "node_1641": {
      "node_id": "node_1641",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 141.90 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.904505978085,
      "fos_buckling": 1.124882517227271,
      "fos_yielding": 3.358537241820876,
      "deflection": 0.016046159140106014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004802)"
      },
      "parent_node_id": "node_1640",
      "improvement_over_parent": null
    },
    "node_1642": {
      "node_id": "node_1642",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 157.67 kg\n  Factor of Safety: 1.23\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": 157.66801142129754,
      "fos_buckling": 1.2319268437526794,
      "fos_yielding": 3.73004492669322,
      "deflection": 0.01447528341516889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1641",
      "improvement_over_parent": null
    },
    "node_1643": {
      "node_id": "node_1643",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7828274881771,
      "fos_buckling": 1.5308433736104954,
      "fos_yielding": 4.838558630424829,
      "deflection": 0.011221796751409873,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1642",
      "improvement_over_parent": null
    },
    "node_1644": {
      "node_id": "node_1644",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 232)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.23 kg\n  Factor of Safety: 1.44\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": 194.2289633305823,
      "fos_buckling": 1.4425621833998705,
      "fos_yielding": 4.848206459262038,
      "deflection": 0.011740651861283246,
      "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 18 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.05 kg\n  Factor of Safety: 1.46\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": 197.0541027639834,
      "fos_buckling": 1.4646497006427983,
      "fos_yielding": 4.846434576196506,
      "deflection": 0.011814636740941567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.536)"
      },
      "parent_node_id": "node_1645",
      "improvement_over_parent": null
    },
    "node_1647": {
      "node_id": "node_1647",
      "content": "MODIFICATION: Increase 19 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.37 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.37437605302674,
      "fos_buckling": 1.5169154270690892,
      "fos_yielding": 4.8464824655727945,
      "deflection": 0.011683601113392174,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.495)"
      },
      "parent_node_id": "node_1646",
      "improvement_over_parent": null
    },
    "node_1648": {
      "node_id": "node_1648",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71283650608578,
      "fos_buckling": 1.5305108634841154,
      "fos_yielding": 4.836770540419736,
      "deflection": 0.011225486333494137,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.427)"
      },
      "parent_node_id": "node_1647",
      "improvement_over_parent": null
    },
    "node_1649": {
      "node_id": "node_1649",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1648",
      "improvement_over_parent": null
    },
    "node_1650": {
      "node_id": "node_1650",
      "content": "INITIAL DESIGN (Trace 233)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.81 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.8145267137027,
      "fos_buckling": 0.6600612601975516,
      "fos_yielding": 3.6350429750122735,
      "deflection": 0.01908294764923111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1651": {
      "node_id": "node_1651",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 134.61 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.60768598899355,
      "fos_buckling": 0.6880908006407555,
      "fos_yielding": 3.6350429750122744,
      "deflection": 0.018742266727881512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001715)"
      },
      "parent_node_id": "node_1650",
      "improvement_over_parent": null
    },
    "node_1652": {
      "node_id": "node_1652",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 136.70 kg\n  Factor of Safety: 0.66\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": 136.69803655278415,
      "fos_buckling": 0.6635554248303966,
      "fos_yielding": 3.6350429750122757,
      "deflection": 0.017953319478401116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.242)"
      },
      "parent_node_id": "node_1651",
      "improvement_over_parent": null
    },
    "node_1653": {
      "node_id": "node_1653",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n  Mass: 140.43 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.4349568040534,
      "fos_buckling": 0.6672750374294529,
      "fos_yielding": 3.42243087221335,
      "deflection": 0.01752687964389512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002886)"
      },
      "parent_node_id": "node_1652",
      "improvement_over_parent": null
    },
    "node_1654": {
      "node_id": "node_1654",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n\nPerformance:\n  Mass: 142.63 kg\n  Factor of Safety: 1.08\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": 142.62837920222356,
      "fos_buckling": 1.078934449424651,
      "fos_yielding": 3.4109253991987942,
      "deflection": 0.015905141085625345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002852)"
      },
      "parent_node_id": "node_1653",
      "improvement_over_parent": null
    },
    "node_1655": {
      "node_id": "node_1655",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 182.73 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.726838331446,
      "fos_buckling": 1.344329344359029,
      "fos_yielding": 4.364413210606015,
      "deflection": 0.012488611327178923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1654",
      "improvement_over_parent": null
    },
    "node_1656": {
      "node_id": "node_1656",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 184.18 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.1791381080368,
      "fos_buckling": 1.3444694720906474,
      "fos_yielding": 5.078418115550245,
      "deflection": 0.012419527985840655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.309)"
      },
      "parent_node_id": "node_1655",
      "improvement_over_parent": null
    },
    "node_1657": {
      "node_id": "node_1657",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0075)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.12 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.117334895507,
      "fos_buckling": 1.46945314676363,
      "fos_yielding": 5.622998390341924,
      "deflection": 0.011238639109389036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1656",
      "improvement_over_parent": null
    },
    "node_1658": {
      "node_id": "node_1658",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1657",
      "improvement_over_parent": null
    },
    "node_1659": {
      "node_id": "node_1659",
      "content": "INITIAL DESIGN (Trace 234)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n  Mass: 156.55 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.54671692334486,
      "fos_buckling": 0.4445744297690103,
      "fos_yielding": 3.049586691641658,
      "deflection": 0.020765461036809683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1660": {
      "node_id": "node_1660",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 175.15 kg\n  Factor of Safety: 1.35\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": 175.1470568433077,
      "fos_buckling": 1.3453819178685804,
      "fos_yielding": 4.354527057004082,
      "deflection": 0.013111823638313508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006830)"
      },
      "parent_node_id": "node_1659",
      "improvement_over_parent": null
    },
    "node_1661": {
      "node_id": "node_1661",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.41 kg\n  Factor of Safety: 1.48\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": 196.40612440402532,
      "fos_buckling": 1.4782146930030162,
      "fos_yielding": 4.8787598791394915,
      "deflection": 0.011727790512967039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1660",
      "improvement_over_parent": null
    },
    "node_1662": {
      "node_id": "node_1662",
      "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.71 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.7137516544393,
      "fos_buckling": 1.5057614851356116,
      "fos_yielding": 4.87773633656219,
      "deflection": 0.011404703871843568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.477)"
      },
      "parent_node_id": "node_1661",
      "improvement_over_parent": null
    },
    "node_1663": {
      "node_id": "node_1663",
      "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.61826699509353,
      "fos_buckling": 1.5290599568327845,
      "fos_yielding": 4.832932196987672,
      "deflection": 0.011323931739451147,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.653)"
      },
      "parent_node_id": "node_1662",
      "improvement_over_parent": null
    },
    "node_1664": {
      "node_id": "node_1664",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.03 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.02576279335682,
      "fos_buckling": 1.5286803960257442,
      "fos_yielding": 4.841782593426169,
      "deflection": 0.011342190135718097,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.621)"
      },
      "parent_node_id": "node_1663",
      "improvement_over_parent": null
    },
    "node_1665": {
      "node_id": "node_1665",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74189461983048,
      "fos_buckling": 1.530528434688915,
      "fos_yielding": 4.837641728886802,
      "deflection": 0.01122456528224693,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1664",
      "improvement_over_parent": null
    },
    "node_1666": {
      "node_id": "node_1666",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1665",
      "improvement_over_parent": null
    },
    "node_1667": {
      "node_id": "node_1667",
      "content": "INITIAL DESIGN (Trace 235)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 137.78 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.74e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.78039898899502,
      "fos_buckling": 0.5258839861571327,
      "fos_yielding": 3.7184400865753107,
      "deflection": 17388454029511.879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1668": {
      "node_id": "node_1668",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 147.89 kg\n  Factor of Safety: 0.84\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": 147.88945978536435,
      "fos_buckling": 0.8387959280851147,
      "fos_yielding": 3.9942181703799253,
      "deflection": 0.019827694225025685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005140)"
      },
      "parent_node_id": "node_1667",
      "improvement_over_parent": null
    },
    "node_1669": {
      "node_id": "node_1669",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 151.50 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.4969098535045,
      "fos_buckling": 0.839578133720124,
      "fos_yielding": 3.993817387626611,
      "deflection": 0.01935702519972041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.451)"
      },
      "parent_node_id": "node_1668",
      "improvement_over_parent": null
    },
    "node_1670": {
      "node_id": "node_1670",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 152.08 kg\n  Factor of Safety: 0.30\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": 152.07636940026225,
      "fos_buckling": 0.2990306550348952,
      "fos_yielding": 3.9937658917298,
      "deflection": 0.01680298644265976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001587)"
      },
      "parent_node_id": "node_1669",
      "improvement_over_parent": null
    },
    "node_1671": {
      "node_id": "node_1671",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n\nPerformance:\n  Mass: 159.78 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.77977646078438,
      "fos_buckling": 0.9181972035628213,
      "fos_yielding": 3.9496234547298186,
      "deflection": 0.015161446211131972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004154)"
      },
      "parent_node_id": "node_1670",
      "improvement_over_parent": null
    },
    "node_1672": {
      "node_id": "node_1672",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0082)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 197.21 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.21486332851342,
      "fos_buckling": 1.092796921306541,
      "fos_yielding": 4.872437557936594,
      "deflection": 0.012347281436641497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1671",
      "improvement_over_parent": null
    },
    "node_1673": {
      "node_id": "node_1673",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0082)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 206.68 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.67917789056824,
      "fos_buckling": 1.5025083707761566,
      "fos_yielding": 4.873881219356119,
      "deflection": 0.011136018224000647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_1672",
      "improvement_over_parent": null
    },
    "node_1674": {
      "node_id": "node_1674",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1673",
      "improvement_over_parent": null
    },
    "node_1675": {
      "node_id": "node_1675",
      "content": "INITIAL DESIGN (Trace 236)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 108.84 kg\n  Factor of Safety: 0.76\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.84486050580641,
      "fos_buckling": 0.758492291117102,
      "fos_yielding": 2.6612723386229598,
      "deflection": 0.02084213848275476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1676": {
      "node_id": "node_1676",
      "content": "MODIFICATION: Increase 20 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 111.66 kg\n  Factor of Safety: 0.77\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.65755424135341,
      "fos_buckling": 0.7688170910904992,
      "fos_yielding": 2.661080193584048,
      "deflection": 0.02032052529299534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.337)"
      },
      "parent_node_id": "node_1675",
      "improvement_over_parent": null
    },
    "node_1677": {
      "node_id": "node_1677",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 134.54 kg\n  Factor of Safety: 0.91\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": 134.53740697196653,
      "fos_buckling": 0.9114944679419074,
      "fos_yielding": 3.204173933695516,
      "deflection": 0.016921525955083512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1676",
      "improvement_over_parent": null
    },
    "node_1678": {
      "node_id": "node_1678",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 136.75 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.7524706246058,
      "fos_buckling": 1.0891412872839659,
      "fos_yielding": 3.2372130818509244,
      "deflection": 0.01663901361731069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.381)"
      },
      "parent_node_id": "node_1677",
      "improvement_over_parent": null
    },
    "node_1679": {
      "node_id": "node_1679",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 172.75 kg\n  Factor of Safety: 1.33\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": 172.74682828750383,
      "fos_buckling": 1.33102900841057,
      "fos_yielding": 4.085326648589771,
      "deflection": 0.013241638898076261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1678",
      "improvement_over_parent": null
    },
    "node_1680": {
      "node_id": "node_1680",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67509876606871,
      "fos_buckling": 1.5302132831493604,
      "fos_yielding": 4.836264239904736,
      "deflection": 0.011228125229864777,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1679",
      "improvement_over_parent": null
    },
    "node_1681": {
      "node_id": "node_1681",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1680",
      "improvement_over_parent": null
    },
    "node_1682": {
      "node_id": "node_1682",
      "content": "INITIAL DESIGN (Trace 237)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 167.35 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.34760870129006,
      "fos_buckling": 0.33260314126455265,
      "fos_yielding": 3.4150142777426806,
      "deflection": 0.021326700647523997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1683": {
      "node_id": "node_1683",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 168.92 kg\n  Factor of Safety: 0.45\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": 168.9204676122561,
      "fos_buckling": 0.4485365006472042,
      "fos_yielding": 3.4149325851260723,
      "deflection": 0.02100200584745453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.462)"
      },
      "parent_node_id": "node_1682",
      "improvement_over_parent": null
    },
    "node_1684": {
      "node_id": "node_1684",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 181.46 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.4594599522254,
      "fos_buckling": 0.48781582390074407,
      "fos_yielding": 3.4142814629707714,
      "deflection": 0.019472475973909706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1683",
      "improvement_over_parent": null
    },
    "node_1685": {
      "node_id": "node_1685",
      "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n\nPerformance:\n  Mass: 184.01 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.0100916818836,
      "fos_buckling": 0.48778066027027733,
      "fos_yielding": 3.4141490446928464,
      "deflection": 0.01942550568048951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.229)"
      },
      "parent_node_id": "node_1684",
      "improvement_over_parent": null
    },
    "node_1686": {
      "node_id": "node_1686",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 1.50\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": 204.85830317086211,
      "fos_buckling": 1.4967204219555694,
      "fos_yielding": 4.862870451900279,
      "deflection": 0.011193430020375152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1685",
      "improvement_over_parent": null
    },
    "node_1687": {
      "node_id": "node_1687",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 238)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n  Mass: 104.37 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.37360491724745,
      "fos_buckling": 0.3139082448734062,
      "fos_yielding": 2.042298280964869,
      "deflection": 0.030997575421908705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1689": {
      "node_id": "node_1689",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 135.66 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.6567468543807,
      "fos_buckling": 0.39471271554603904,
      "fos_yielding": 2.6498511500991997,
      "deflection": 0.023917333565106298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1688",
      "improvement_over_parent": null
    },
    "node_1690": {
      "node_id": "node_1690",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 142.32 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.32084257146255,
      "fos_buckling": 0.39433973569429165,
      "fos_yielding": 2.648505758269713,
      "deflection": 0.023768860326524723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003765)"
      },
      "parent_node_id": "node_1689",
      "improvement_over_parent": null
    },
    "node_1691": {
      "node_id": "node_1691",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 183.94 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.9401541431185,
      "fos_buckling": 0.4879076308907748,
      "fos_yielding": 3.4150554049668407,
      "deflection": 0.018463597293044316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1690",
      "improvement_over_parent": null
    },
    "node_1692": {
      "node_id": "node_1692",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.788365632097,
      "fos_buckling": 1.5305878370444101,
      "fos_yielding": 4.839129504043609,
      "deflection": 0.011221897416416717,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1691",
      "improvement_over_parent": null
    },
    "node_1693": {
      "node_id": "node_1693",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1692",
      "improvement_over_parent": null
    },
    "node_1694": {
      "node_id": "node_1694",
      "content": "INITIAL DESIGN (Trace 239)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 160.56 kg\n  Factor of Safety: 0.60\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": 160.55584096182903,
      "fos_buckling": 0.5955778503276582,
      "fos_yielding": 3.971566125587148,
      "deflection": 0.015585344824462688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1695": {
      "node_id": "node_1695",
      "content": "MODIFICATION: Increase 16 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.21 kg\n  Factor of Safety: 0.76\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": 163.21086387466357,
      "fos_buckling": 0.7551433161184329,
      "fos_yielding": 3.9730300956859197,
      "deflection": 0.015200278375757662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.429)"
      },
      "parent_node_id": "node_1694",
      "improvement_over_parent": null
    },
    "node_1696": {
      "node_id": "node_1696",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 165.75 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.74876945012775,
      "fos_buckling": 1.2045293800878825,
      "fos_yielding": 3.96047738093391,
      "deflection": 0.013755951191548661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003334)"
      },
      "parent_node_id": "node_1695",
      "improvement_over_parent": null
    },
    "node_1697": {
      "node_id": "node_1697",
      "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 166.75 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.75223338897246,
      "fos_buckling": 1.292049143610133,
      "fos_yielding": 3.944096956374779,
      "deflection": 0.013705823681482364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.325)"
      },
      "parent_node_id": "node_1696",
      "improvement_over_parent": null
    },
    "node_1698": {
      "node_id": "node_1698",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71777530021046,
      "fos_buckling": 1.5304981472952324,
      "fos_yielding": 4.83715178080466,
      "deflection": 0.01122598904625676,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1697",
      "improvement_over_parent": null
    },
    "node_1699": {
      "node_id": "node_1699",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1698",
      "improvement_over_parent": null
    },
    "node_1700": {
      "node_id": "node_1700",
      "content": "INITIAL DESIGN (Trace 240)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 129.90 kg\n  Factor of Safety: 1.03\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": 129.90142712000463,
      "fos_buckling": 1.0318131100550112,
      "fos_yielding": 3.1169489192778945,
      "deflection": 0.017542553017567578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1701": {
      "node_id": "node_1701",
      "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 131.84 kg\n  Factor of Safety: 1.05\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": 131.839597613004,
      "fos_buckling": 1.0546851761508627,
      "fos_yielding": 3.1211805689988155,
      "deflection": 0.017246710752179262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.397)"
      },
      "parent_node_id": "node_1700",
      "improvement_over_parent": null
    },
    "node_1702": {
      "node_id": "node_1702",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 158.30 kg\n  Factor of Safety: 1.24\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": 158.30015282497487,
      "fos_buckling": 1.2361511691527287,
      "fos_yielding": 3.744952034939993,
      "deflection": 0.014419691133605205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1701",
      "improvement_over_parent": null
    },
    "node_1703": {
      "node_id": "node_1703",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.88 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8791056220158,
      "fos_buckling": 1.5314284847939559,
      "fos_yielding": 4.840840739320429,
      "deflection": 0.011217348413277178,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1702",
      "improvement_over_parent": null
    },
    "node_1704": {
      "node_id": "node_1704",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1703",
      "improvement_over_parent": null
    },
    "node_1705": {
      "node_id": "node_1705",
      "content": "INITIAL DESIGN (Trace 241)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 179.30 kg\n  Factor of Safety: 0.49\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": 179.29601509502697,
      "fos_buckling": 0.4879861895394677,
      "fos_yielding": 3.4144258711342474,
      "deflection": 0.018642280119776432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1706": {
      "node_id": "node_1706",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 180.11 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.1102856240609,
      "fos_buckling": 0.48797495541402025,
      "fos_yielding": 3.414383592875042,
      "deflection": 0.018629336112464107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.199)"
      },
      "parent_node_id": "node_1705",
      "improvement_over_parent": null
    },
    "node_1707": {
      "node_id": "node_1707",
      "content": "MODIFICATION: Increase 17 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 183.85 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.85187806335784,
      "fos_buckling": 0.48771699243005384,
      "fos_yielding": 3.413412533122198,
      "deflection": 0.01847246562232726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.534)"
      },
      "parent_node_id": "node_1706",
      "improvement_over_parent": null
    },
    "node_1708": {
      "node_id": "node_1708",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70008955233635,
      "fos_buckling": 1.5304515379464425,
      "fos_yielding": 4.836776760506579,
      "deflection": 0.011226642548250171,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1707",
      "improvement_over_parent": null
    },
    "node_1709": {
      "node_id": "node_1709",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1708",
      "improvement_over_parent": null
    },
    "node_1710": {
      "node_id": "node_1710",
      "content": "INITIAL DESIGN (Trace 242)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0014)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 99.80 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.80211628554375,
      "fos_buckling": 0.489171079065632,
      "fos_yielding": 2.462886205765876,
      "deflection": 0.02457496529946889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1711": {
      "node_id": "node_1711",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 129.26 kg\n  Factor of Safety: 0.62\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": 129.2568336559765,
      "fos_buckling": 0.6187290969987286,
      "fos_yielding": 3.186837677306148,
      "deflection": 0.019025999339806254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_1710",
      "improvement_over_parent": null
    },
    "node_1712": {
      "node_id": "node_1712",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n\nPerformance:\n  Mass: 131.28 kg\n  Factor of Safety: 1.05\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": 131.2824746560652,
      "fos_buckling": 1.050483601956757,
      "fos_yielding": 3.1775155826962154,
      "deflection": 0.017222006191037455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002621)"
      },
      "parent_node_id": "node_1711",
      "improvement_over_parent": null
    },
    "node_1713": {
      "node_id": "node_1713",
      "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n\nPerformance:\n  Mass: 134.53 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.5295177884589,
      "fos_buckling": 1.055673118275134,
      "fos_yielding": 3.1737348508446654,
      "deflection": 0.01713124540601663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.575)"
      },
      "parent_node_id": "node_1712",
      "improvement_over_parent": null
    },
    "node_1714": {
      "node_id": "node_1714",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0068)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 173.23 kg\n  Factor of Safety: 1.31\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": 173.22953453842433,
      "fos_buckling": 1.3076086907978517,
      "fos_yielding": 4.084979135321585,
      "deflection": 0.013373561265032927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_1713",
      "improvement_over_parent": null
    },
    "node_1715": {
      "node_id": "node_1715",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0082)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 206.55 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.55461394547862,
      "fos_buckling": 1.506752504838538,
      "fos_yielding": 4.869189576521935,
      "deflection": 0.01126556299345879,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1714",
      "improvement_over_parent": null
    },
    "node_1716": {
      "node_id": "node_1716",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1715",
      "improvement_over_parent": null
    },
    "node_1717": {
      "node_id": "node_1717",
      "content": "INITIAL DESIGN (Trace 243)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 118.50 kg\n  Factor of Safety: 0.74\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": 118.49902328703845,
      "fos_buckling": 0.7382628310531344,
      "fos_yielding": 3.3722162185376474,
      "deflection": 0.019275581316774256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1718": {
      "node_id": "node_1718",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 119.57 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.56656387147171,
      "fos_buckling": 0.7383319589537244,
      "fos_yielding": 3.3608536411705137,
      "deflection": 0.019233137489212033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.266)"
      },
      "parent_node_id": "node_1717",
      "improvement_over_parent": null
    },
    "node_1719": {
      "node_id": "node_1719",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 135.54 kg\n  Factor of Safety: 0.83\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": 135.53885572931534,
      "fos_buckling": 0.8258183829322343,
      "fos_yielding": 3.8076345791569497,
      "deflection": 0.017014566652532058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_1718",
      "improvement_over_parent": null
    },
    "node_1720": {
      "node_id": "node_1720",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 137.95 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.9547034952172,
      "fos_buckling": 0.3615093266599748,
      "fos_yielding": 3.807520459793571,
      "deflection": 0.018460880081081862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003162)"
      },
      "parent_node_id": "node_1719",
      "improvement_over_parent": null
    },
    "node_1721": {
      "node_id": "node_1721",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 148.72 kg\n  Factor of Safety: 0.45\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": 148.72355679042505,
      "fos_buckling": 0.4531921269889069,
      "fos_yielding": 3.8072661358699693,
      "deflection": 0.016727808001968863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004792)"
      },
      "parent_node_id": "node_1720",
      "improvement_over_parent": null
    },
    "node_1722": {
      "node_id": "node_1722",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n  Mass: 156.10 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.10366866185697,
      "fos_buckling": 1.054430851413065,
      "fos_yielding": 3.7584617378691783,
      "deflection": 0.015167814003977834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003967)"
      },
      "parent_node_id": "node_1721",
      "improvement_over_parent": null
    },
    "node_1723": {
      "node_id": "node_1723",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 201.39 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.3914543517173,
      "fos_buckling": 1.318263221223371,
      "fos_yielding": 4.841342444522663,
      "deflection": 0.011823002400314775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1722",
      "improvement_over_parent": null
    },
    "node_1724": {
      "node_id": "node_1724",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.78775088877643,
      "fos_buckling": 1.5308681092170102,
      "fos_yielding": 4.838764655558117,
      "deflection": 0.011221876376991706,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.316)"
      },
      "parent_node_id": "node_1723",
      "improvement_over_parent": null
    },
    "node_1725": {
      "node_id": "node_1725",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1724",
      "improvement_over_parent": null
    },
    "node_1726": {
      "node_id": "node_1726",
      "content": "INITIAL DESIGN (Trace 244)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 134.03 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.03480338510877,
      "fos_buckling": 0.23162881341657304,
      "fos_yielding": 1.1546829813433073,
      "deflection": 0.04499835636710151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1727": {
      "node_id": "node_1727",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 166.93 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.63e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.93320691443128,
      "fos_buckling": 0.2770192789651469,
      "fos_yielding": 1.4317083243002073,
      "deflection": 0.03630060535999204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1726",
      "improvement_over_parent": null
    },
    "node_1728": {
      "node_id": "node_1728",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 172.24 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.24125239142577,
      "fos_buckling": 0.27689607268612465,
      "fos_yielding": 1.4107054314350036,
      "deflection": 0.03592813673932715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1727",
      "improvement_over_parent": null
    },
    "node_1729": {
      "node_id": "node_1729",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 186.13 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.12615926704737,
      "fos_buckling": 0.27657430456664917,
      "fos_yielding": 1.4090404639449918,
      "deflection": 0.03397054643997767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1728",
      "improvement_over_parent": null
    },
    "node_1730": {
      "node_id": "node_1730",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 188.61 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.60973064409995,
      "fos_buckling": 0.2764019502167462,
      "fos_yielding": 1.3904437413861173,
      "deflection": 0.03384721733323935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.289)"
      },
      "parent_node_id": "node_1729",
      "improvement_over_parent": null
    },
    "node_1731": {
      "node_id": "node_1731",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 203.79 kg\n  Factor of Safety: 1.39\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": 203.79428465900136,
      "fos_buckling": 1.3870297119521702,
      "fos_yielding": 4.579841173485645,
      "deflection": 0.011280731907849267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1730",
      "improvement_over_parent": null
    },
    "node_1732": {
      "node_id": "node_1732",
      "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.50 kg\n  Factor of Safety: 1.39\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": 205.49867376205592,
      "fos_buckling": 1.387027784920979,
      "fos_yielding": 4.579834810610563,
      "deflection": 0.01124645362340359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.247)"
      },
      "parent_node_id": "node_1731",
      "improvement_over_parent": null
    },
    "node_1733": {
      "node_id": "node_1733",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 245)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 170.38 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.37711905833953,
      "fos_buckling": 0.3378841352525861,
      "fos_yielding": 1.7742480674148982,
      "deflection": 0.032017091326795734,
      "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 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 184.26 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.26202593396113,
      "fos_buckling": 0.33749172520867643,
      "fos_yielding": 1.7072395656445838,
      "deflection": 0.03109967544824422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1734",
      "improvement_over_parent": null
    },
    "node_1736": {
      "node_id": "node_1736",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 196.75 kg\n  Factor of Safety: 1.15\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": 196.74983301097788,
      "fos_buckling": 1.1542140766873417,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.011869405593071569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_1735",
      "improvement_over_parent": null
    },
    "node_1737": {
      "node_id": "node_1737",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.53148152323035,
      "fos_buckling": 1.5302140272922158,
      "fos_yielding": 4.837239904006939,
      "deflection": 0.011239096570891668,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1736",
      "improvement_over_parent": null
    },
    "node_1738": {
      "node_id": "node_1738",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0056)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 205.46 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.4615858571413,
      "fos_buckling": 1.5472878410952173,
      "fos_yielding": 4.836543383885207,
      "deflection": 0.011228574195337711,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.340)"
      },
      "parent_node_id": "node_1737",
      "improvement_over_parent": null
    },
    "node_1739": {
      "node_id": "node_1739",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1738",
      "improvement_over_parent": null
    },
    "node_1740": {
      "node_id": "node_1740",
      "content": "INITIAL DESIGN (Trace 246)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 155.31 kg\n  Factor of Safety: 0.96\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": 155.30833037096397,
      "fos_buckling": 0.9560958097257802,
      "fos_yielding": 4.37976501357679,
      "deflection": 0.01548068773144398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1741": {
      "node_id": "node_1741",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 159.81 kg\n  Factor of Safety: 0.96\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": 159.81153180446452,
      "fos_buckling": 0.9559738937003924,
      "fos_yielding": 4.101839208890254,
      "deflection": 0.01470038841932486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003525)"
      },
      "parent_node_id": "node_1740",
      "improvement_over_parent": null
    },
    "node_1742": {
      "node_id": "node_1742",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 171.59 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.59133480300636,
      "fos_buckling": 1.3356840404377406,
      "fos_yielding": 4.102905056797401,
      "deflection": 0.01334638445692773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005278)"
      },
      "parent_node_id": "node_1741",
      "improvement_over_parent": null
    },
    "node_1743": {
      "node_id": "node_1743",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 202.24 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.2430837599796,
      "fos_buckling": 1.5294404967571358,
      "fos_yielding": 4.831164967750155,
      "deflection": 0.011373114937869569,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1742",
      "improvement_over_parent": null
    },
    "node_1744": {
      "node_id": "node_1744",
      "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 205.37 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.3730294598999,
      "fos_buckling": 1.5314377638319994,
      "fos_yielding": 4.831921000145367,
      "deflection": 0.011517684905260063,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.311)"
      },
      "parent_node_id": "node_1743",
      "improvement_over_parent": null
    },
    "node_1745": {
      "node_id": "node_1745",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1744",
      "improvement_over_parent": null
    },
    "node_1746": {
      "node_id": "node_1746",
      "content": "INITIAL DESIGN (Trace 247)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\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_1747": {
      "node_id": "node_1747",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n  Mass: 127.26 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.26056669148211,
      "fos_buckling": 0.8190963226105925,
      "fos_yielding": 3.3968100088151094,
      "deflection": 0.018594048300954253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002685)"
      },
      "parent_node_id": "node_1746",
      "improvement_over_parent": null
    },
    "node_1748": {
      "node_id": "node_1748",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n  Mass: 129.54 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.53500957577654,
      "fos_buckling": 0.818317409964322,
      "fos_yielding": 3.3968100088151094,
      "deflection": 0.017845919271324277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.433)"
      },
      "parent_node_id": "node_1747",
      "improvement_over_parent": null
    },
    "node_1749": {
      "node_id": "node_1749",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n  Mass: 134.65 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.65374613852288,
      "fos_buckling": 1.0744832553391912,
      "fos_yielding": 3.187635921842693,
      "deflection": 0.016893101048071835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003010)"
      },
      "parent_node_id": "node_1748",
      "improvement_over_parent": null
    },
    "node_1750": {
      "node_id": "node_1750",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n  Mass: 175.29 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.28897867735697,
      "fos_buckling": 1.3474341614938947,
      "fos_yielding": 4.145068045117956,
      "deflection": 0.013054412110075731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1749",
      "improvement_over_parent": null
    },
    "node_1751": {
      "node_id": "node_1751",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80883208752346,
      "fos_buckling": 1.531035890421379,
      "fos_yielding": 4.839297123624858,
      "deflection": 0.011220983064194657,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1750",
      "improvement_over_parent": null
    },
    "node_1752": {
      "node_id": "node_1752",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1751",
      "improvement_over_parent": null
    },
    "node_1753": {
      "node_id": "node_1753",
      "content": "INITIAL DESIGN (Trace 248)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 116.27 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.26731733285436,
      "fos_buckling": 0.459139000905732,
      "fos_yielding": 1.915480411849156,
      "deflection": 0.024000090886858953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1754": {
      "node_id": "node_1754",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n\nPerformance:\n  Mass: 123.17 kg\n  Factor of Safety: 0.78\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": 123.16819218712502,
      "fos_buckling": 0.7845748217050146,
      "fos_yielding": 3.2347382065020605,
      "deflection": 0.01876522558682162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003401)"
      },
      "parent_node_id": "node_1753",
      "improvement_over_parent": null
    },
    "node_1755": {
      "node_id": "node_1755",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n  Mass: 159.37 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.3746604666659,
      "fos_buckling": 0.9756338252971775,
      "fos_yielding": 4.184834591581914,
      "deflection": 0.014585112554979532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_1754",
      "improvement_over_parent": null
    },
    "node_1756": {
      "node_id": "node_1756",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 196.54 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.53946714839066,
      "fos_buckling": 1.1538663260566397,
      "fos_yielding": 5.159699727884211,
      "deflection": 0.011896144935358129,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1755",
      "improvement_over_parent": null
    },
    "node_1757": {
      "node_id": "node_1757",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.32 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.32111566064313,
      "fos_buckling": 1.5299020639900678,
      "fos_yielding": 4.82827002145863,
      "deflection": 0.011228369262759432,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1756",
      "improvement_over_parent": null
    },
    "node_1758": {
      "node_id": "node_1758",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60507170150643,
      "fos_buckling": 1.5297831931853538,
      "fos_yielding": 4.834357797148042,
      "deflection": 0.01123204173952322,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.370)"
      },
      "parent_node_id": "node_1757",
      "improvement_over_parent": null
    },
    "node_1759": {
      "node_id": "node_1759",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1758",
      "improvement_over_parent": null
    },
    "node_1760": {
      "node_id": "node_1760",
      "content": "INITIAL DESIGN (Trace 249)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 126.45 kg\n  Factor of Safety: 0.07\n  Max Deflection: 2.68e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.45280668496108,
      "fos_buckling": 0.0660462313694156,
      "fos_yielding": 0.9796451461979283,
      "deflection": 26768832699722.344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1761": {
      "node_id": "node_1761",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 128.60 kg\n  Factor of Safety: 0.08\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": 128.60125514046985,
      "fos_buckling": 0.083955939287456,
      "fos_yielding": 1.9721688255087158,
      "deflection": 19741880714470.82,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.355)"
      },
      "parent_node_id": "node_1760",
      "improvement_over_parent": null
    },
    "node_1762": {
      "node_id": "node_1762",
      "content": "MODIFICATION: Increase 18 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 131.92 kg\n  Factor of Safety: 0.07\n  Max Deflection: 6.12e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.92188755891394,
      "fos_buckling": 0.0660462313694156,
      "fos_yielding": 0.9860844127543577,
      "deflection": 61249662548943.516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.302)"
      },
      "parent_node_id": "node_1761",
      "improvement_over_parent": null
    },
    "node_1763": {
      "node_id": "node_1763",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n  Mass: 140.17 kg\n  Factor of Safety: 0.77\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": 140.16675970744956,
      "fos_buckling": 0.7667358102288222,
      "fos_yielding": 3.481964073604361,
      "deflection": 0.015000624846488666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004024)"
      },
      "parent_node_id": "node_1762",
      "improvement_over_parent": null
    },
    "node_1764": {
      "node_id": "node_1764",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 175.55 kg\n  Factor of Safety: 0.93\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": 175.55469055049542,
      "fos_buckling": 0.9323866356541475,
      "fos_yielding": 4.356591880433861,
      "deflection": 0.012019831593175496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1763",
      "improvement_over_parent": null
    },
    "node_1765": {
      "node_id": "node_1765",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 177.17 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.16969604456153,
      "fos_buckling": 0.9325178990552766,
      "fos_yielding": 4.383912433452611,
      "deflection": 0.011957154707695304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.287)"
      },
      "parent_node_id": "node_1764",
      "improvement_over_parent": null
    },
    "node_1766": {
      "node_id": "node_1766",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 196.03 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.03252717184142,
      "fos_buckling": 1.0155027893726891,
      "fos_yielding": 4.848164894433303,
      "deflection": 0.010826785914334726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1765",
      "improvement_over_parent": null
    },
    "node_1767": {
      "node_id": "node_1767",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6430162049153,
      "fos_buckling": 1.5295692557239096,
      "fos_yielding": 4.8354531366645785,
      "deflection": 0.011229685453932527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_1766",
      "improvement_over_parent": null
    },
    "node_1768": {
      "node_id": "node_1768",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1767",
      "improvement_over_parent": null
    },
    "node_1769": {
      "node_id": "node_1769",
      "content": "INITIAL DESIGN (Trace 250)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 144.67 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.80e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.67384026716658,
      "fos_buckling": 0.12948589429920865,
      "fos_yielding": 1.3147792170058106,
      "deflection": 18015621859463.508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1770": {
      "node_id": "node_1770",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 173.00 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.18e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.99526694502282,
      "fos_buckling": 0.5633913123819257,
      "fos_yielding": 5.2150464682494215,
      "deflection": 11776815782961.469,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1769",
      "improvement_over_parent": null
    },
    "node_1771": {
      "node_id": "node_1771",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 186.88 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.49e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.88017382064442,
      "fos_buckling": 0.4829068391845078,
      "fos_yielding": 3.9443376510174306,
      "deflection": 14908686029311.338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1770",
      "improvement_over_parent": null
    },
    "node_1772": {
      "node_id": "node_1772",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 192.19 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.1882192976389,
      "fos_buckling": 0.4477260325951632,
      "fos_yielding": 4.135395070162362,
      "deflection": 0.014355246516157102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1771",
      "improvement_over_parent": null
    },
    "node_1773": {
      "node_id": "node_1773",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7272116376082,
      "fos_buckling": 1.530559224753761,
      "fos_yielding": 4.837504773430962,
      "deflection": 0.011225306141673108,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_1772",
      "improvement_over_parent": null
    },
    "node_1774": {
      "node_id": "node_1774",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1773",
      "improvement_over_parent": null
    },
    "node_1775": {
      "node_id": "node_1775",
      "content": "INITIAL DESIGN (Trace 251)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 110.26 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.26147068256198,
      "fos_buckling": 0.5568546069690719,
      "fos_yielding": 2.9800826763783994,
      "deflection": 0.02230478241313118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1776": {
      "node_id": "node_1776",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 128.06 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.92e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.05918484664957,
      "fos_buckling": 0.6370223773864222,
      "fos_yielding": 3.460467836485779,
      "deflection": 0.019236105581530594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1775",
      "improvement_over_parent": null
    },
    "node_1777": {
      "node_id": "node_1777",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 129.88 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.87665844101633,
      "fos_buckling": 0.6326790306668421,
      "fos_yielding": 3.460467836485779,
      "deflection": 0.018846512338362504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.294)"
      },
      "parent_node_id": "node_1776",
      "improvement_over_parent": null
    },
    "node_1778": {
      "node_id": "node_1778",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 153.11 kg\n  Factor of Safety: 0.73\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": 153.1122485055378,
      "fos_buckling": 0.7313489380784357,
      "fos_yielding": 4.07911811188429,
      "deflection": 0.016021587351043514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1777",
      "improvement_over_parent": null
    },
    "node_1779": {
      "node_id": "node_1779",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 155.58 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.57504653185535,
      "fos_buckling": 0.9551205079333001,
      "fos_yielding": 4.07911811188429,
      "deflection": 0.014920206308762908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003228)"
      },
      "parent_node_id": "node_1778",
      "improvement_over_parent": null
    },
    "node_1780": {
      "node_id": "node_1780",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 161.73 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.7269618175762,
      "fos_buckling": 1.258950815346749,
      "fos_yielding": 3.825560239315796,
      "deflection": 0.014121386789186762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003662)"
      },
      "parent_node_id": "node_1779",
      "improvement_over_parent": null
    },
    "node_1781": {
      "node_id": "node_1781",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.45534419959864,
      "fos_buckling": 1.5289145608272519,
      "fos_yielding": 4.830746995344702,
      "deflection": 0.011240021207545714,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1780",
      "improvement_over_parent": null
    },
    "node_1782": {
      "node_id": "node_1782",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1781",
      "improvement_over_parent": null
    },
    "node_1783": {
      "node_id": "node_1783",
      "content": "INITIAL DESIGN (Trace 252)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.79 kg\n  Factor of Safety: 0.24\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": 188.7873154517213,
      "fos_buckling": 0.23782290058566455,
      "fos_yielding": 4.59168577892933,
      "deflection": 0.012051811291306875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1784": {
      "node_id": "node_1784",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 200.21 kg\n  Factor of Safety: 1.35\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": 200.21451561776092,
      "fos_buckling": 1.3490455021522554,
      "fos_yielding": 4.829177382596305,
      "deflection": 0.01134786900930229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_1783",
      "improvement_over_parent": null
    },
    "node_1785": {
      "node_id": "node_1785",
      "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 201.33 kg\n  Factor of Safety: 1.46\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": 201.33096397443316,
      "fos_buckling": 1.464770843166852,
      "fos_yielding": 4.8276214831324165,
      "deflection": 0.011335373105005282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.613)"
      },
      "parent_node_id": "node_1784",
      "improvement_over_parent": null
    },
    "node_1786": {
      "node_id": "node_1786",
      "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 202.07 kg\n  Factor of Safety: 1.45\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": 202.07047388230905,
      "fos_buckling": 1.4498561701851138,
      "fos_yielding": 4.827701035650235,
      "deflection": 0.011296793642618874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.183)"
      },
      "parent_node_id": "node_1785",
      "improvement_over_parent": null
    },
    "node_1787": {
      "node_id": "node_1787",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.31 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.30751680919627,
      "fos_buckling": 1.5304396952176027,
      "fos_yielding": 4.827781469719145,
      "deflection": 0.011221623754506417,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.340)"
      },
      "parent_node_id": "node_1786",
      "improvement_over_parent": null
    },
    "node_1788": {
      "node_id": "node_1788",
      "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69286163647473,
      "fos_buckling": 1.5302663183284155,
      "fos_yielding": 4.836792805798559,
      "deflection": 0.01122697892385814,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.570)"
      },
      "parent_node_id": "node_1787",
      "improvement_over_parent": null
    },
    "node_1789": {
      "node_id": "node_1789",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1788",
      "improvement_over_parent": null
    },
    "node_1790": {
      "node_id": "node_1790",
      "content": "INITIAL DESIGN (Trace 253)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 132.04 kg\n  Factor of Safety: 0.71\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": 132.03592632377544,
      "fos_buckling": 0.7141320646056054,
      "fos_yielding": 3.126965377261609,
      "deflection": 0.018285713877848348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1791": {
      "node_id": "node_1791",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n\nPerformance:\n  Mass: 132.78 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.78415830244663,
      "fos_buckling": 0.7691573995332318,
      "fos_yielding": 3.2087585037583573,
      "deflection": 0.018264198912477415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001612)"
      },
      "parent_node_id": "node_1790",
      "improvement_over_parent": null
    },
    "node_1792": {
      "node_id": "node_1792",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n  Mass: 149.70 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.69909699031314,
      "fos_buckling": 0.8591874601079525,
      "fos_yielding": 3.61549525904216,
      "deflection": 0.016232333280163345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_1791",
      "improvement_over_parent": null
    },
    "node_1793": {
      "node_id": "node_1793",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 175.03 kg\n  Factor of Safety: 0.99\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": 175.02584391889556,
      "fos_buckling": 0.990686377775214,
      "fos_yielding": 4.223628682081443,
      "deflection": 0.013923824820517546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1792",
      "improvement_over_parent": null
    },
    "node_1794": {
      "node_id": "node_1794",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 199.76 kg\n  Factor of Safety: 1.12\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": 199.76132833293042,
      "fos_buckling": 1.1153136916267257,
      "fos_yielding": 4.8165410615597635,
      "deflection": 0.012233756918989147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1793",
      "improvement_over_parent": null
    },
    "node_1795": {
      "node_id": "node_1795",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.4337110796862,
      "fos_buckling": 1.5287380069452554,
      "fos_yielding": 4.830333113394887,
      "deflection": 0.011240298681727708,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.656)"
      },
      "parent_node_id": "node_1794",
      "improvement_over_parent": null
    },
    "node_1796": {
      "node_id": "node_1796",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1795",
      "improvement_over_parent": null
    },
    "node_1797": {
      "node_id": "node_1797",
      "content": "INITIAL DESIGN (Trace 254)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\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_1798": {
      "node_id": "node_1798",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 164.97 kg\n  Factor of Safety: 1.00\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": 164.96997121714082,
      "fos_buckling": 1.0023066089128303,
      "fos_yielding": 4.325348562717013,
      "deflection": 0.014091336007085056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003477)"
      },
      "parent_node_id": "node_1797",
      "improvement_over_parent": null
    },
    "node_1799": {
      "node_id": "node_1799",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 196.82 kg\n  Factor of Safety: 1.15\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": 196.81589225042876,
      "fos_buckling": 1.1536805745167678,
      "fos_yielding": 5.159557231046977,
      "deflection": 0.011870481098694829,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1798",
      "improvement_over_parent": null
    },
    "node_1800": {
      "node_id": "node_1800",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.59754076268123,
      "fos_buckling": 1.529749097528319,
      "fos_yielding": 4.834220877275055,
      "deflection": 0.011232422385748161,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1799",
      "improvement_over_parent": null
    },
    "node_1801": {
      "node_id": "node_1801",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1800",
      "improvement_over_parent": null
    },
    "node_1802": {
      "node_id": "node_1802",
      "content": "INITIAL DESIGN (Trace 255)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 138.09 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.39e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.08796604968956,
      "fos_buckling": 0.3979806021356827,
      "fos_yielding": 2.61737327495571,
      "deflection": 0.023934536459916514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1803": {
      "node_id": "node_1803",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 176.49 kg\n  Factor of Safety: 0.49\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": 176.48732737700416,
      "fos_buckling": 0.4877056104427056,
      "fos_yielding": 3.371165090921259,
      "deflection": 0.01880373807995149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1802",
      "improvement_over_parent": null
    },
    "node_1804": {
      "node_id": "node_1804",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 181.80 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.79537285399866,
      "fos_buckling": 0.487632458289584,
      "fos_yielding": 3.208950629814328,
      "deflection": 0.018554301872355565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1803",
      "improvement_over_parent": null
    },
    "node_1805": {
      "node_id": "node_1805",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.64 kg\n  Factor of Safety: 1.12\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": 202.64358434297716,
      "fos_buckling": 1.1231690403926469,
      "fos_yielding": 3.205489309438571,
      "deflection": 0.011378593990787708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_1804",
      "improvement_over_parent": null
    },
    "node_1806": {
      "node_id": "node_1806",
      "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0040)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.20 kg\n  Factor of Safety: 1.13\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": 203.20480833864147,
      "fos_buckling": 1.1254249864745443,
      "fos_yielding": 3.2119277089920915,
      "deflection": 0.011384362687114881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.582)"
      },
      "parent_node_id": "node_1805",
      "improvement_over_parent": null
    },
    "node_1807": {
      "node_id": "node_1807",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1806",
      "improvement_over_parent": null
    },
    "node_1808": {
      "node_id": "node_1808",
      "content": "INITIAL DESIGN (Trace 256)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.70 kg\n  Factor of Safety: 0.87\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": 194.69624654958054,
      "fos_buckling": 0.8743497609646325,
      "fos_yielding": 5.1612144939627695,
      "deflection": 0.012491809334179748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1809": {
      "node_id": "node_1809",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.89 kg\n  Factor of Safety: 0.87\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": 195.89413542999958,
      "fos_buckling": 0.8740908900921575,
      "fos_yielding": 5.161214493962768,
      "deflection": 0.01233616656385582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.179)"
      },
      "parent_node_id": "node_1808",
      "improvement_over_parent": null
    },
    "node_1810": {
      "node_id": "node_1810",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 201.20 kg\n  Factor of Safety: 1.28\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": 201.20218090699407,
      "fos_buckling": 1.2766152308061838,
      "fos_yielding": 4.7834711226728865,
      "deflection": 0.01143040851639599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1809",
      "improvement_over_parent": null
    },
    "node_1811": {
      "node_id": "node_1811",
      "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0067)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.08 kg\n  Factor of Safety: 1.31\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": 204.08081016353788,
      "fos_buckling": 1.306931863338643,
      "fos_yielding": 4.754403514887506,
      "deflection": 0.011360511284327867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.425)"
      },
      "parent_node_id": "node_1810",
      "improvement_over_parent": null
    },
    "node_1812": {
      "node_id": "node_1812",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1811",
      "improvement_over_parent": null
    },
    "node_1813": {
      "node_id": "node_1813",
      "content": "INITIAL DESIGN (Trace 257)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 131.71 kg\n  Factor of Safety: 0.23\n  Max Deflection: 5.39e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.7137006931038,
      "fos_buckling": 0.23406525769680636,
      "fos_yielding": 0.7132956057147417,
      "deflection": 0.05389843879220462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1814": {
      "node_id": "node_1814",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 162.34 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.33626362130494,
      "fos_buckling": 0.2776211116568257,
      "fos_yielding": 0.8759891047428467,
      "deflection": 0.04390062757458085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1813",
      "improvement_over_parent": null
    },
    "node_1815": {
      "node_id": "node_1815",
      "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 164.55 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.54732824705107,
      "fos_buckling": 0.27756956700592716,
      "fos_yielding": 0.8759344851716263,
      "deflection": 0.043787417164114655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.435)"
      },
      "parent_node_id": "node_1814",
      "improvement_over_parent": null
    },
    "node_1816": {
      "node_id": "node_1816",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 164.70 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.7044804670133,
      "fos_buckling": 0.27756224145015335,
      "fos_yielding": 0.8759267215128919,
      "deflection": 0.04373586172959063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.178)"
      },
      "parent_node_id": "node_1815",
      "improvement_over_parent": null
    },
    "node_1817": {
      "node_id": "node_1817",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 178.59 kg\n  Factor of Safety: 0.28\n  Max Deflection: 4.17e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.5893873426349,
      "fos_buckling": 0.2772390085761669,
      "fos_yielding": 0.8748990212848846,
      "deflection": 0.04170495313121147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1816",
      "improvement_over_parent": null
    },
    "node_1818": {
      "node_id": "node_1818",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 193.77 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.7739413575363,
      "fos_buckling": 0.6825656619081982,
      "fos_yielding": 4.7523750382339065,
      "deflection": 0.013767306075591517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1817",
      "improvement_over_parent": null
    },
    "node_1819": {
      "node_id": "node_1819",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n  Mass: 201.04 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.04064646793222,
      "fos_buckling": 1.447118779476592,
      "fos_yielding": 4.830648750239533,
      "deflection": 0.01147578442419869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003592)"
      },
      "parent_node_id": "node_1818",
      "improvement_over_parent": null
    },
    "node_1820": {
      "node_id": "node_1820",
      "content": "MODIFICATION: Increase 16 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0078)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n  Mass: 205.22 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.21549220154895,
      "fos_buckling": 1.4204684487715964,
      "fos_yielding": 4.82892962791816,
      "deflection": 0.011540582527731786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.565)"
      },
      "parent_node_id": "node_1819",
      "improvement_over_parent": null
    },
    "node_1821": {
      "node_id": "node_1821",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1820",
      "improvement_over_parent": null
    },
    "node_1822": {
      "node_id": "node_1822",
      "content": "INITIAL DESIGN (Trace 258)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 139.51 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.51399024399615,
      "fos_buckling": 0.7835692735598566,
      "fos_yielding": 3.5444062150880242,
      "deflection": 0.017462067181364643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1823": {
      "node_id": "node_1823",
      "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 141.20 kg\n  Factor of Safety: 0.78\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": 141.19765789763795,
      "fos_buckling": 0.7822399391703101,
      "fos_yielding": 3.5442862988363886,
      "deflection": 0.01727134724147264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.206)"
      },
      "parent_node_id": "node_1822",
      "improvement_over_parent": null
    },
    "node_1824": {
      "node_id": "node_1824",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n  Mass: 174.99 kg\n  Factor of Safety: 0.95\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": 174.98957376247154,
      "fos_buckling": 0.9546858375869143,
      "fos_yielding": 4.385278259700742,
      "deflection": 0.013980853387402518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1823",
      "improvement_over_parent": null
    },
    "node_1825": {
      "node_id": "node_1825",
      "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n  Mass: 178.55 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.55387769679567,
      "fos_buckling": 1.1230038730057814,
      "fos_yielding": 4.393951036364481,
      "deflection": 0.013255242685128467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.499)"
      },
      "parent_node_id": "node_1824",
      "improvement_over_parent": null
    },
    "node_1826": {
      "node_id": "node_1826",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.81 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.80664462101012,
      "fos_buckling": 1.2262719590223277,
      "fos_yielding": 4.839389662179175,
      "deflection": 0.012050769224151528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1825",
      "improvement_over_parent": null
    },
    "node_1827": {
      "node_id": "node_1827",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.01 kg\n  Factor of Safety: 1.28\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": 201.0093664142814,
      "fos_buckling": 1.2815672526567297,
      "fos_yielding": 4.841493925507033,
      "deflection": 0.011323586461583044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.391)"
      },
      "parent_node_id": "node_1826",
      "improvement_over_parent": null
    },
    "node_1828": {
      "node_id": "node_1828",
      "content": "MODIFICATION: Increase 15 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.50835410983888,
      "fos_buckling": 1.5292626179207167,
      "fos_yielding": 4.832606610661936,
      "deflection": 0.011237547801873474,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.639)"
      },
      "parent_node_id": "node_1827",
      "improvement_over_parent": null
    },
    "node_1829": {
      "node_id": "node_1829",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1828",
      "improvement_over_parent": null
    },
    "node_1830": {
      "node_id": "node_1830",
      "content": "INITIAL DESIGN (Trace 259)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 167.31 kg\n  Factor of Safety: 0.90\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": 167.3056382602063,
      "fos_buckling": 0.9006520291179638,
      "fos_yielding": 3.2626246983103697,
      "deflection": 0.012597511127154019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1831": {
      "node_id": "node_1831",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 168.92 kg\n  Factor of Safety: 0.90\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": 168.91558311610936,
      "fos_buckling": 0.9005256914892636,
      "fos_yielding": 3.262587580882116,
      "deflection": 0.012496356888404895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.264)"
      },
      "parent_node_id": "node_1830",
      "improvement_over_parent": null
    },
    "node_1832": {
      "node_id": "node_1832",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 176.38 kg\n  Factor of Safety: 1.14\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": 176.38421009596289,
      "fos_buckling": 1.1375725962011618,
      "fos_yielding": 3.2541273198909813,
      "deflection": 0.012990547079272689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004257)"
      },
      "parent_node_id": "node_1831",
      "improvement_over_parent": null
    },
    "node_1833": {
      "node_id": "node_1833",
      "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 177.55 kg\n  Factor of Safety: 1.36\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": 177.5546601483151,
      "fos_buckling": 1.3619488634392318,
      "fos_yielding": 4.199660888312348,
      "deflection": 0.012892063348368496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.326)"
      },
      "parent_node_id": "node_1832",
      "improvement_over_parent": null
    },
    "node_1834": {
      "node_id": "node_1834",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7069995029867,
      "fos_buckling": 1.53040832129335,
      "fos_yielding": 4.83834612877075,
      "deflection": 0.011226371994173635,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1833",
      "improvement_over_parent": null
    },
    "node_1835": {
      "node_id": "node_1835",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1834",
      "improvement_over_parent": null
    },
    "node_1836": {
      "node_id": "node_1836",
      "content": "INITIAL DESIGN (Trace 260)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 134.09 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.08803094932725,
      "fos_buckling": 0.647406584689681,
      "fos_yielding": 3.4188684454106726,
      "deflection": 0.016029335285243276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1837": {
      "node_id": "node_1837",
      "content": "MODIFICATION: Increase 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 135.32 kg\n  Factor of Safety: 0.75\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": 135.31816378157714,
      "fos_buckling": 0.7505138878136192,
      "fos_yielding": 3.418779216536843,
      "deflection": 0.01586981490694902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.192)"
      },
      "parent_node_id": "node_1836",
      "improvement_over_parent": null
    },
    "node_1838": {
      "node_id": "node_1838",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 138.02 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.01516618508032,
      "fos_buckling": 0.7503379071849109,
      "fos_yielding": 3.4187140095905413,
      "deflection": 0.015289671869226067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.393)"
      },
      "parent_node_id": "node_1837",
      "improvement_over_parent": null
    },
    "node_1839": {
      "node_id": "node_1839",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 170.29 kg\n  Factor of Safety: 0.90\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": 170.2875952116074,
      "fos_buckling": 0.9016580210696548,
      "fos_yielding": 4.214410002253754,
      "deflection": 0.012431775249980882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1838",
      "improvement_over_parent": null
    },
    "node_1840": {
      "node_id": "node_1840",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 177.76 kg\n  Factor of Safety: 1.36\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": 177.76270027822528,
      "fos_buckling": 1.3634234254106625,
      "fos_yielding": 4.203444006166998,
      "deflection": 0.012877569989334184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004261)"
      },
      "parent_node_id": "node_1839",
      "improvement_over_parent": null
    },
    "node_1841": {
      "node_id": "node_1841",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.78368565625198,
      "fos_buckling": 1.5310278076586745,
      "fos_yielding": 4.83888569599984,
      "deflection": 0.011222467302168476,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_1840",
      "improvement_over_parent": null
    },
    "node_1842": {
      "node_id": "node_1842",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1841",
      "improvement_over_parent": null
    },
    "node_1843": {
      "node_id": "node_1843",
      "content": "INITIAL DESIGN (Trace 261)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 112.21 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.21491604794048,
      "fos_buckling": 0.8261298701348375,
      "fos_yielding": 2.6821279742955566,
      "deflection": 0.019811673972643214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1844": {
      "node_id": "node_1844",
      "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 113.25 kg\n  Factor of Safety: 0.92\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": 113.25327805347762,
      "fos_buckling": 0.9212666355774471,
      "fos_yielding": 2.6826083381572303,
      "deflection": 0.020021915067830142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.206)"
      },
      "parent_node_id": "node_1843",
      "improvement_over_parent": null
    },
    "node_1845": {
      "node_id": "node_1845",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 144.03 kg\n  Factor of Safety: 1.14\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": 144.03162722886768,
      "fos_buckling": 1.139578124346008,
      "fos_yielding": 3.4088317347345374,
      "deflection": 0.01581479107987742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1844",
      "improvement_over_parent": null
    },
    "node_1846": {
      "node_id": "node_1846",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 180.20 kg\n  Factor of Safety: 1.38\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": 180.19621487596768,
      "fos_buckling": 1.378825249378494,
      "fos_yielding": 4.260613654210589,
      "deflection": 0.012707881688455835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1845",
      "improvement_over_parent": null
    },
    "node_1847": {
      "node_id": "node_1847",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63398219512027,
      "fos_buckling": 1.5300020691731093,
      "fos_yielding": 4.835260201413196,
      "deflection": 0.011230180365853607,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1846",
      "improvement_over_parent": null
    },
    "node_1848": {
      "node_id": "node_1848",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1847",
      "improvement_over_parent": null
    },
    "node_1849": {
      "node_id": "node_1849",
      "content": "INITIAL DESIGN (Trace 262)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 147.04 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.03815538576978,
      "fos_buckling": 0.8060030051342485,
      "fos_yielding": 2.764640581608164,
      "deflection": 0.014267016864485777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1850": {
      "node_id": "node_1850",
      "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 148.18 kg\n  Factor of Safety: 0.81\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": 148.17695223289675,
      "fos_buckling": 0.806003005134249,
      "fos_yielding": 3.681992188303823,
      "deflection": 0.014196630691006705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.368)"
      },
      "parent_node_id": "node_1849",
      "improvement_over_parent": null
    },
    "node_1851": {
      "node_id": "node_1851",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 164.51 kg\n  Factor of Safety: 0.88\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": 164.51292166818905,
      "fos_buckling": 0.8827511647601985,
      "fos_yielding": 4.085972172914759,
      "deflection": 0.012808108149463128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1850",
      "improvement_over_parent": null
    },
    "node_1852": {
      "node_id": "node_1852",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 166.22 kg\n  Factor of Safety: 0.88\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": 166.22116964280286,
      "fos_buckling": 0.8828825178684158,
      "fos_yielding": 4.115682693732128,
      "deflection": 0.012730611472236496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.333)"
      },
      "parent_node_id": "node_1851",
      "improvement_over_parent": null
    },
    "node_1853": {
      "node_id": "node_1853",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n\nPerformance:\n  Mass: 173.52 kg\n  Factor of Safety: 1.34\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": 173.51613174972374,
      "fos_buckling": 1.336052724752052,
      "fos_yielding": 4.104985359010484,
      "deflection": 0.013184013759326535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004150)"
      },
      "parent_node_id": "node_1852",
      "improvement_over_parent": null
    },
    "node_1854": {
      "node_id": "node_1854",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.79361344700158,
      "fos_buckling": 1.5309849764006513,
      "fos_yielding": 4.840845247709741,
      "deflection": 0.011221487558751417,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1853",
      "improvement_over_parent": null
    },
    "node_1855": {
      "node_id": "node_1855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1854",
      "improvement_over_parent": null
    },
    "node_1856": {
      "node_id": "node_1856",
      "content": "INITIAL DESIGN (Trace 263)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 156.67 kg\n  Factor of Safety: 0.99\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": 156.67410737734753,
      "fos_buckling": 0.9879395018540214,
      "fos_yielding": 3.7360324669305003,
      "deflection": 0.014610857602371513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1857": {
      "node_id": "node_1857",
      "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 159.86 kg\n  Factor of Safety: 1.25\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": 159.86459328142448,
      "fos_buckling": 1.2476106437778838,
      "fos_yielding": 3.7868179657533,
      "deflection": 0.014289479451027652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.517)"
      },
      "parent_node_id": "node_1856",
      "improvement_over_parent": null
    },
    "node_1858": {
      "node_id": "node_1858",
      "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 160.05 kg\n  Factor of Safety: 1.25\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": 160.04920951360225,
      "fos_buckling": 1.247844065811459,
      "fos_yielding": 3.786291618217159,
      "deflection": 0.014265690377384576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.527)"
      },
      "parent_node_id": "node_1857",
      "improvement_over_parent": null
    },
    "node_1859": {
      "node_id": "node_1859",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52324069446786,
      "fos_buckling": 1.5293447246603853,
      "fos_yielding": 4.832651429478491,
      "deflection": 0.01123622999056623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1858",
      "improvement_over_parent": null
    },
    "node_1860": {
      "node_id": "node_1860",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1859",
      "improvement_over_parent": null
    },
    "node_1861": {
      "node_id": "node_1861",
      "content": "INITIAL DESIGN (Trace 264)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0018)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0012)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 83.55 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 83.54884572817284,
      "fos_buckling": 0.6069996935983201,
      "fos_yielding": 2.0248020361285564,
      "deflection": 0.027542923401651518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1862": {
      "node_id": "node_1862",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n  Mass: 95.12 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.11900659687367,
      "fos_buckling": 0.6874297485232589,
      "fos_yielding": 2.3043011864611693,
      "deflection": 0.02423128349880903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1861",
      "improvement_over_parent": null
    },
    "node_1863": {
      "node_id": "node_1863",
      "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n  Mass: 95.55 kg\n  Factor of Safety: 0.79\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.54773363529206,
      "fos_buckling": 0.7900669887441546,
      "fos_yielding": 2.303888084141564,
      "deflection": 0.02420451393812005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.425)"
      },
      "parent_node_id": "node_1862",
      "improvement_over_parent": null
    },
    "node_1864": {
      "node_id": "node_1864",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 114.86 kg\n  Factor of Safety: 0.94\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.85553936163902,
      "fos_buckling": 0.9356700316845903,
      "fos_yielding": 2.7677139579715946,
      "deflection": 0.020188797575899822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1863",
      "improvement_over_parent": null
    },
    "node_1865": {
      "node_id": "node_1865",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 116.65 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.64803995200606,
      "fos_buckling": 0.9460536827222406,
      "fos_yielding": 2.762785384784356,
      "deflection": 0.019449897140859766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.377)"
      },
      "parent_node_id": "node_1864",
      "improvement_over_parent": null
    },
    "node_1866": {
      "node_id": "node_1866",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 139.18 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.18382030892982,
      "fos_buckling": 1.106139909295676,
      "fos_yielding": 3.2945471277811027,
      "deflection": 0.016354777216203428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_1865",
      "improvement_over_parent": null
    },
    "node_1867": {
      "node_id": "node_1867",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 166.99 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.99386325384435,
      "fos_buckling": 1.2936935845261348,
      "fos_yielding": 3.9498761246181275,
      "deflection": 0.013686791336322335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1866",
      "improvement_over_parent": null
    },
    "node_1868": {
      "node_id": "node_1868",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70999702366242,
      "fos_buckling": 1.5305222619348577,
      "fos_yielding": 4.8370766747590705,
      "deflection": 0.011226656967828888,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1867",
      "improvement_over_parent": null
    },
    "node_1869": {
      "node_id": "node_1869",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1868",
      "improvement_over_parent": null
    },
    "node_1870": {
      "node_id": "node_1870",
      "content": "INITIAL DESIGN (Trace 265)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 139.32 kg\n  Factor of Safety: 0.86\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": 139.32115009315433,
      "fos_buckling": 0.8584705607822155,
      "fos_yielding": 3.5653072040168943,
      "deflection": 0.016818506819440332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1871": {
      "node_id": "node_1871",
      "content": "MODIFICATION: Increase 13 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 142.63 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.62886795972395,
      "fos_buckling": 0.8583900342837076,
      "fos_yielding": 3.61926602113638,
      "deflection": 0.01644827251594925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.582)"
      },
      "parent_node_id": "node_1870",
      "improvement_over_parent": null
    },
    "node_1872": {
      "node_id": "node_1872",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 158.63 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.63468618769275,
      "fos_buckling": 0.9396048845944729,
      "fos_yielding": 4.023600182055308,
      "deflection": 0.01482365868958067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1871",
      "improvement_over_parent": null
    },
    "node_1873": {
      "node_id": "node_1873",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.70 kg\n  Factor of Safety: 1.09\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": 190.70424361633036,
      "fos_buckling": 1.0933021279364608,
      "fos_yielding": 4.832632516496989,
      "deflection": 0.01238914446427056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1872",
      "improvement_over_parent": null
    },
    "node_1874": {
      "node_id": "node_1874",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.58915049195195,
      "fos_buckling": 1.52976385688861,
      "fos_yielding": 4.833932891769248,
      "deflection": 0.011233027449472998,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_1873",
      "improvement_over_parent": null
    },
    "node_1875": {
      "node_id": "node_1875",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1874",
      "improvement_over_parent": null
    },
    "node_1876": {
      "node_id": "node_1876",
      "content": "INITIAL DESIGN (Trace 266)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 159.80 kg\n  Factor of Safety: 0.99\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": 159.80183478330474,
      "fos_buckling": 0.9881829518808444,
      "fos_yielding": 2.854987934364687,
      "deflection": 0.014213407777646306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1877": {
      "node_id": "node_1877",
      "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 161.38 kg\n  Factor of Safety: 0.99\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": 161.37940027609335,
      "fos_buckling": 0.9881829518808444,
      "fos_yielding": 4.25278571588841,
      "deflection": 0.014213407777646306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.527)"
      },
      "parent_node_id": "node_1876",
      "improvement_over_parent": null
    },
    "node_1878": {
      "node_id": "node_1878",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 161.48 kg\n  Factor of Safety: 0.99\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": 161.47942826640536,
      "fos_buckling": 0.9881501245317088,
      "fos_yielding": 4.25278571588841,
      "deflection": 0.01420790343809616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.220)"
      },
      "parent_node_id": "node_1877",
      "improvement_over_parent": null
    },
    "node_1879": {
      "node_id": "node_1879",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.23 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.22916767222182,
      "fos_buckling": 1.1544231860949423,
      "fos_yielding": 5.16565051640058,
      "deflection": 0.011761188854528945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1878",
      "improvement_over_parent": null
    },
    "node_1880": {
      "node_id": "node_1880",
      "content": "MODIFICATION: Increase 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.14 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.14465243077447,
      "fos_buckling": 1.1535919279058868,
      "fos_yielding": 5.165650516400582,
      "deflection": 0.011890219185691915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.376)"
      },
      "parent_node_id": "node_1879",
      "improvement_over_parent": null
    },
    "node_1881": {
      "node_id": "node_1881",
      "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.40 kg\n  Factor of Safety: 1.15\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": 199.39514105778775,
      "fos_buckling": 1.153449210611217,
      "fos_yielding": 5.1656505164005795,
      "deflection": 0.011867812662919195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.314)"
      },
      "parent_node_id": "node_1880",
      "improvement_over_parent": null
    },
    "node_1882": {
      "node_id": "node_1882",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70318653478225,
      "fos_buckling": 1.5303970498016004,
      "fos_yielding": 4.840820517460128,
      "deflection": 0.011226297185574732,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_1881",
      "improvement_over_parent": null
    },
    "node_1883": {
      "node_id": "node_1883",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1882",
      "improvement_over_parent": null
    },
    "node_1884": {
      "node_id": "node_1884",
      "content": "INITIAL DESIGN (Trace 267)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 147.63 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.63359742025446,
      "fos_buckling": 0.9009091530599395,
      "fos_yielding": 3.8411653959199796,
      "deflection": 0.01706632816223458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1885": {
      "node_id": "node_1885",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.35 kg\n  Factor of Safety: 1.09\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": 186.35372088746303,
      "fos_buckling": 1.094402715090989,
      "fos_yielding": 4.840054250140291,
      "deflection": 0.013578602899897898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1884",
      "improvement_over_parent": null
    },
    "node_1886": {
      "node_id": "node_1886",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 195.82 kg\n  Factor of Safety: 1.13\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": 195.81803544951785,
      "fos_buckling": 1.1344833221135804,
      "fos_yielding": 4.841210574529557,
      "deflection": 0.012387238737063886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_1885",
      "improvement_over_parent": null
    },
    "node_1887": {
      "node_id": "node_1887",
      "content": "MODIFICATION: Increase 18 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 203.08 kg\n  Factor of Safety: 1.14\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": 203.07875445211675,
      "fos_buckling": 1.136163865608327,
      "fos_yielding": 4.841117949617326,
      "deflection": 0.012262564110009946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.613)"
      },
      "parent_node_id": "node_1886",
      "improvement_over_parent": null
    },
    "node_1888": {
      "node_id": "node_1888",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 208.79 kg\n  Factor of Safety: 1.44\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": 208.78867530607818,
      "fos_buckling": 1.4361385507088777,
      "fos_yielding": 4.836729672025706,
      "deflection": 0.011028483750245857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.661)"
      },
      "parent_node_id": "node_1887",
      "improvement_over_parent": null
    },
    "node_1889": {
      "node_id": "node_1889",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1888",
      "improvement_over_parent": null
    },
    "node_1890": {
      "node_id": "node_1890",
      "content": "INITIAL DESIGN (Trace 268)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 122.49 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.48928364467406,
      "fos_buckling": 0.312102434414923,
      "fos_yielding": 3.0948025021892716,
      "deflection": 0.019815897854191415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1891": {
      "node_id": "node_1891",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 155.80 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.79600765113673,
      "fos_buckling": 0.38330509479577535,
      "fos_yielding": 3.9328268618337012,
      "deflection": 0.015654286424145257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1890",
      "improvement_over_parent": null
    },
    "node_1892": {
      "node_id": "node_1892",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 156.42 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.42431627352704,
      "fos_buckling": 0.3550271940043749,
      "fos_yielding": 3.932796216747819,
      "deflection": 0.015717988310485993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.361)"
      },
      "parent_node_id": "node_1891",
      "improvement_over_parent": null
    },
    "node_1893": {
      "node_id": "node_1893",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.18 kg\n  Factor of Safety: 0.43\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": 195.17770220008438,
      "fos_buckling": 0.42575142357757495,
      "fos_yielding": 4.902362768173257,
      "deflection": 0.01266505562551941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1892",
      "improvement_over_parent": null
    },
    "node_1894": {
      "node_id": "node_1894",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69336001708473,
      "fos_buckling": 1.5303701881882739,
      "fos_yielding": 4.8365832266259705,
      "deflection": 0.01122725508362952,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_1893",
      "improvement_over_parent": null
    },
    "node_1895": {
      "node_id": "node_1895",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1894",
      "improvement_over_parent": null
    },
    "node_1896": {
      "node_id": "node_1896",
      "content": "INITIAL DESIGN (Trace 269)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0025)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0016)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0012)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n\nPerformance:\n  Mass: 66.16 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 66.15800839881064,
      "fos_buckling": 0.20180376893430352,
      "fos_yielding": 1.2631869932086606,
      "deflection": 0.04974281572834246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1897": {
      "node_id": "node_1897",
      "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0025)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0016)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0017)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n\nPerformance:\n  Mass: 67.18 kg\n  Factor of Safety: 0.20\n  Max Deflection: 4.97e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 67.17540099859758,
      "fos_buckling": 0.20177446595511594,
      "fos_yielding": 1.2630886670224024,
      "deflection": 0.04970683777149573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.488)"
      },
      "parent_node_id": "node_1896",
      "improvement_over_parent": null
    },
    "node_1898": {
      "node_id": "node_1898",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n\nPerformance:\n  Mass: 88.15 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.80e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 88.14594226330297,
      "fos_buckling": 0.2593698340959295,
      "fos_yielding": 1.6554366357545816,
      "deflection": 0.0379574009896435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_1897",
      "improvement_over_parent": null
    },
    "node_1899": {
      "node_id": "node_1899",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 98.19 kg\n  Factor of Safety: 0.72\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.19329500398004,
      "fos_buckling": 0.7178862704229658,
      "fos_yielding": 2.302865188750474,
      "deflection": 0.02283350477911062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.003554)"
      },
      "parent_node_id": "node_1898",
      "improvement_over_parent": null
    },
    "node_1900": {
      "node_id": "node_1900",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 124.47 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.46950591782785,
      "fos_buckling": 0.8840732589041317,
      "fos_yielding": 2.9169352148536922,
      "deflection": 0.01808349910029923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1899",
      "improvement_over_parent": null
    },
    "node_1901": {
      "node_id": "node_1901",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 162.49 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.49489893534218,
      "fos_buckling": 1.1060646830044478,
      "fos_yielding": 3.803966638795168,
      "deflection": 0.013930847167722579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1900",
      "improvement_over_parent": null
    },
    "node_1902": {
      "node_id": "node_1902",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.3926801899981,
      "fos_buckling": 1.2693342871977504,
      "fos_yielding": 3.865385207740601,
      "deflection": 0.013980291088537497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001958)"
      },
      "parent_node_id": "node_1901",
      "improvement_over_parent": null
    },
    "node_1903": {
      "node_id": "node_1903",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.91 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.9106889288573,
      "fos_buckling": 1.5309645835425438,
      "fos_yielding": 4.842176337831596,
      "deflection": 0.0112153648351641,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_1902",
      "improvement_over_parent": null
    },
    "node_1904": {
      "node_id": "node_1904",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1903",
      "improvement_over_parent": null
    },
    "node_1905": {
      "node_id": "node_1905",
      "content": "INITIAL DESIGN (Trace 270)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 146.74 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.74143975006672,
      "fos_buckling": 0.2381654974734201,
      "fos_yielding": 0.8546121130017632,
      "deflection": 0.04414602922038847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1906": {
      "node_id": "node_1906",
      "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 150.90 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.8983309459851,
      "fos_buckling": 0.23808223318320298,
      "fos_yielding": 0.8543115290358396,
      "deflection": 0.04384862482420725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.585)"
      },
      "parent_node_id": "node_1905",
      "improvement_over_parent": null
    },
    "node_1907": {
      "node_id": "node_1907",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n  Mass: 157.37 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.35e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.3679817595586,
      "fos_buckling": 0.23795275909340471,
      "fos_yielding": 0.8433658182494009,
      "deflection": 0.04350138972932896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003866)"
      },
      "parent_node_id": "node_1906",
      "improvement_over_parent": null
    },
    "node_1908": {
      "node_id": "node_1908",
      "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n  Mass: 157.58 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.57807383592555,
      "fos_buckling": 0.23793595152952868,
      "fos_yielding": 1.1605146391089918,
      "deflection": 0.04044632791235465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.587)"
      },
      "parent_node_id": "node_1907",
      "improvement_over_parent": null
    },
    "node_1909": {
      "node_id": "node_1909",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 170.20 kg\n  Factor of Safety: 1.31\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": 170.2045819623621,
      "fos_buckling": 1.3146453507673819,
      "fos_yielding": 4.025496210579261,
      "deflection": 0.013434467563037285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005834)"
      },
      "parent_node_id": "node_1908",
      "improvement_over_parent": null
    },
    "node_1910": {
      "node_id": "node_1910",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61248942136933,
      "fos_buckling": 1.5299434773178642,
      "fos_yielding": 4.834813622945805,
      "deflection": 0.011231487315577122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1909",
      "improvement_over_parent": null
    },
    "node_1911": {
      "node_id": "node_1911",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1910",
      "improvement_over_parent": null
    },
    "node_1912": {
      "node_id": "node_1912",
      "content": "INITIAL DESIGN (Trace 271)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 101.19 kg\n  Factor of Safety: 0.65\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": 101.18768352839865,
      "fos_buckling": 0.6515809959852618,
      "fos_yielding": 2.6206446071939653,
      "deflection": 0.02302767119684204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1913": {
      "node_id": "node_1913",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 132.90 kg\n  Factor of Safety: 0.83\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": 132.8981896336563,
      "fos_buckling": 0.8272650054651606,
      "fos_yielding": 3.441301225897613,
      "deflection": 0.017621252304794863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1912",
      "improvement_over_parent": null
    },
    "node_1914": {
      "node_id": "node_1914",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n  Mass: 136.43 kg\n  Factor of Safety: 1.09\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": 136.43364392684566,
      "fos_buckling": 1.086955205271284,
      "fos_yielding": 3.2297258544723153,
      "deflection": 0.016677047817791633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002721)"
      },
      "parent_node_id": "node_1913",
      "improvement_over_parent": null
    },
    "node_1915": {
      "node_id": "node_1915",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 178.05 kg\n  Factor of Safety: 1.37\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": 178.05139597374972,
      "fos_buckling": 1.365164962078976,
      "fos_yielding": 4.21021895154142,
      "deflection": 0.012857041284538082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1914",
      "improvement_over_parent": null
    },
    "node_1916": {
      "node_id": "node_1916",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.95 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.95145014390036,
      "fos_buckling": 1.5319221494972237,
      "fos_yielding": 4.842806988536011,
      "deflection": 0.011213392186729761,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1915",
      "improvement_over_parent": null
    },
    "node_1917": {
      "node_id": "node_1917",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1916",
      "improvement_over_parent": null
    },
    "node_1918": {
      "node_id": "node_1918",
      "content": "INITIAL DESIGN (Trace 272)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 179.18 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.1788059121701,
      "fos_buckling": 1.3610007070164696,
      "fos_yielding": 4.368845551236861,
      "deflection": 0.013660075725499151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1919": {
      "node_id": "node_1919",
      "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 184.42 kg\n  Factor of Safety: 1.41\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": 184.42097328099698,
      "fos_buckling": 1.4079402191884165,
      "fos_yielding": 4.379055586990181,
      "deflection": 0.012513057664834551,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.616)"
      },
      "parent_node_id": "node_1918",
      "improvement_over_parent": null
    },
    "node_1920": {
      "node_id": "node_1920",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n  Mass: 185.07 kg\n  Factor of Safety: 1.41\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": 185.0682937845733,
      "fos_buckling": 1.4096555235273303,
      "fos_yielding": 4.375313751083139,
      "deflection": 0.012382616787240822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001789)"
      },
      "parent_node_id": "node_1919",
      "improvement_over_parent": null
    },
    "node_1921": {
      "node_id": "node_1921",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60394091049088,
      "fos_buckling": 1.5298395910265041,
      "fos_yielding": 4.834635740749767,
      "deflection": 0.01123221484877123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1920",
      "improvement_over_parent": null
    },
    "node_1922": {
      "node_id": "node_1922",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 273)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 129.56 kg\n  Factor of Safety: 0.01\n  Max Deflection: 3.19e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.561402987235,
      "fos_buckling": 0.00516118926450849,
      "fos_yielding": 0.12326055159429473,
      "deflection": 319180519507632.7,
      "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: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n  Mass: 138.90 kg\n  Factor of Safety: 0.52\n  Max Deflection: 8.92e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.89690806091755,
      "fos_buckling": 0.5197043736197986,
      "fos_yielding": 3.9443376510174315,
      "deflection": 8921934528608.969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004597)"
      },
      "parent_node_id": "node_1923",
      "improvement_over_parent": null
    },
    "node_1925": {
      "node_id": "node_1925",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 141.44 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.87e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.44188033140435,
      "fos_buckling": 1.0394087472395972,
      "fos_yielding": 4.218304238741053,
      "deflection": 5871339490909.473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003344)"
      },
      "parent_node_id": "node_1924",
      "improvement_over_parent": null
    },
    "node_1926": {
      "node_id": "node_1926",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n  Mass: 147.80 kg\n  Factor of Safety: 0.71\n  Max Deflection: 6.84e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.79969011154975,
      "fos_buckling": 0.713083227913171,
      "fos_yielding": 2.629558434011621,
      "deflection": 6838894275440.191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003794)"
      },
      "parent_node_id": "node_1925",
      "improvement_over_parent": null
    },
    "node_1927": {
      "node_id": "node_1927",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 180.78 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.65e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.7791960305841,
      "fos_buckling": 0.15990200919978595,
      "fos_yielding": 3.9443376510174315,
      "deflection": 16522497789142.357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1926",
      "improvement_over_parent": null
    },
    "node_1928": {
      "node_id": "node_1928",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n\nPerformance:\n  Mass: 187.23 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.61e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.23478778110663,
      "fos_buckling": 0.21664956070842353,
      "fos_yielding": 1.3896294311712718,
      "deflection": 0.03610963750601991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003639)"
      },
      "parent_node_id": "node_1927",
      "improvement_over_parent": null
    },
    "node_1929": {
      "node_id": "node_1929",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.42 kg\n  Factor of Safety: 1.49\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": 202.41934179600804,
      "fos_buckling": 1.4878552464155688,
      "fos_yielding": 4.834810665838624,
      "deflection": 0.011180893244257924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1928",
      "improvement_over_parent": null
    },
    "node_1930": {
      "node_id": "node_1930",
      "content": "MODIFICATION: Increase 18 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0065)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.91 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.91233609874521,
      "fos_buckling": 1.489701027399193,
      "fos_yielding": 4.810653092489538,
      "deflection": 0.011133888420259008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.366)"
      },
      "parent_node_id": "node_1929",
      "improvement_over_parent": null
    },
    "node_1931": {
      "node_id": "node_1931",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1930",
      "improvement_over_parent": null
    },
    "node_1932": {
      "node_id": "node_1932",
      "content": "INITIAL DESIGN (Trace 274)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 102.37 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.36945280833984,
      "fos_buckling": 0.6509846955548936,
      "fos_yielding": 2.6422153393047023,
      "deflection": 0.022775441296542534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1933": {
      "node_id": "node_1933",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.24 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.23606417824405,
      "fos_buckling": 0.7839972261802298,
      "fos_yielding": 3.2555937511893798,
      "deflection": 0.018533223711548214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1932",
      "improvement_over_parent": null
    },
    "node_1934": {
      "node_id": "node_1934",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n  Mass: 135.58 kg\n  Factor of Safety: 1.06\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": 135.58028421001902,
      "fos_buckling": 1.0605280896103066,
      "fos_yielding": 3.2564630781583705,
      "deflection": 0.016832355627888918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004119)"
      },
      "parent_node_id": "node_1933",
      "improvement_over_parent": null
    },
    "node_1935": {
      "node_id": "node_1935",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 169.67 kg\n  Factor of Safety: 1.29\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": 169.67057790627572,
      "fos_buckling": 1.2865522324411636,
      "fos_yielding": 4.070843185965865,
      "deflection": 0.01351521237881738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1934",
      "improvement_over_parent": null
    },
    "node_1936": {
      "node_id": "node_1936",
      "content": "MODIFICATION: Increase 16 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 172.39 kg\n  Factor of Safety: 1.33\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": 172.3898763750133,
      "fos_buckling": 1.3287204839047762,
      "fos_yielding": 4.076836544616482,
      "deflection": 0.013268371934856724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.447)"
      },
      "parent_node_id": "node_1935",
      "improvement_over_parent": null
    },
    "node_1937": {
      "node_id": "node_1937",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7227633759078,
      "fos_buckling": 1.5304982754475782,
      "fos_yielding": 4.837282515889142,
      "deflection": 0.011225594681708896,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1936",
      "improvement_over_parent": null
    },
    "node_1938": {
      "node_id": "node_1938",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1937",
      "improvement_over_parent": null
    },
    "node_1939": {
      "node_id": "node_1939",
      "content": "INITIAL DESIGN (Trace 275)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 128.96 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.87e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.96455293527092,
      "fos_buckling": 0.17270921849415197,
      "fos_yielding": 2.6295584340116207,
      "deflection": 18730627155795.18,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1940": {
      "node_id": "node_1940",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 129.96 kg\n  Factor of Safety: 0.13\n  Max Deflection: 3.76e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.95821998065492,
      "fos_buckling": 0.129531913870614,
      "fos_yielding": 1.9721688255087158,
      "deflection": 37591597154483.234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.312)"
      },
      "parent_node_id": "node_1939",
      "improvement_over_parent": null
    },
    "node_1941": {
      "node_id": "node_1941",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 140.38 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.92e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.3771310475078,
      "fos_buckling": 0.20615642476398272,
      "fos_yielding": 2.867742328148329,
      "deflection": 19191158522557.414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005310)"
      },
      "parent_node_id": "node_1940",
      "improvement_over_parent": null
    },
    "node_1942": {
      "node_id": "node_1942",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 142.98 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.60e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.97640759037532,
      "fos_buckling": 0.2390697451783614,
      "fos_yielding": 1.1664905761544988,
      "deflection": 0.046004287137478166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003421)"
      },
      "parent_node_id": "node_1941",
      "improvement_over_parent": null
    },
    "node_1943": {
      "node_id": "node_1943",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 154.56 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.561843796064,
      "fos_buckling": 0.2388367562505373,
      "fos_yielding": 1.1653372605759182,
      "deflection": 0.043558961517936645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005184)"
      },
      "parent_node_id": "node_1942",
      "improvement_over_parent": null
    },
    "node_1944": {
      "node_id": "node_1944",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 185.30 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.64e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.2988534281274,
      "fos_buckling": 0.27665278563113593,
      "fos_yielding": 1.3917215674572994,
      "deflection": 0.036434050356268524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1943",
      "improvement_over_parent": null
    },
    "node_1945": {
      "node_id": "node_1945",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 200.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.18e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.4834074430288,
      "fos_buckling": 1.5257844644088898,
      "fos_yielding": 4.834428032694347,
      "deflection": 0.01182591312719287,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_1944",
      "improvement_over_parent": null
    },
    "node_1946": {
      "node_id": "node_1946",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7093440999593,
      "fos_buckling": 1.530425343276492,
      "fos_yielding": 4.836889733065979,
      "deflection": 0.011225893748657454,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.393)"
      },
      "parent_node_id": "node_1945",
      "improvement_over_parent": null
    },
    "node_1947": {
      "node_id": "node_1947",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 276)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0016)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 112.69 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.68789787269543,
      "fos_buckling": 0.5556537364865632,
      "fos_yielding": 1.7784464419130357,
      "deflection": 0.02182875976066144,
      "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 all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 125.17 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.17320517298707,
      "fos_buckling": 0.6108921498913688,
      "fos_yielding": 1.9789231381943393,
      "deflection": 0.01967309092758433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1948",
      "improvement_over_parent": null
    },
    "node_1950": {
      "node_id": "node_1950",
      "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 126.52 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.51894502404242,
      "fos_buckling": 0.611709388465985,
      "fos_yielding": 3.0546347055452103,
      "deflection": 0.019521685398413136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.597)"
      },
      "parent_node_id": "node_1949",
      "improvement_over_parent": null
    },
    "node_1951": {
      "node_id": "node_1951",
      "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 128.04 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.0424477127414,
      "fos_buckling": 0.610963368948802,
      "fos_yielding": 3.095193693607495,
      "deflection": 0.01933137825517678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.536)"
      },
      "parent_node_id": "node_1950",
      "improvement_over_parent": null
    },
    "node_1952": {
      "node_id": "node_1952",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 129.02 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.02041457046522,
      "fos_buckling": 0.6106816343175774,
      "fos_yielding": 3.111307867732153,
      "deflection": 0.019257335692054085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.230)"
      },
      "parent_node_id": "node_1951",
      "improvement_over_parent": null
    },
    "node_1953": {
      "node_id": "node_1953",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 160.03 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.0317586769888,
      "fos_buckling": 0.7387226116091037,
      "fos_yielding": 3.855909729216929,
      "deflection": 0.015567474900287823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1952",
      "improvement_over_parent": null
    },
    "node_1954": {
      "node_id": "node_1954",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 162.51 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.50591718225576,
      "fos_buckling": 1.2641328510603256,
      "fos_yielding": 3.8429213872933587,
      "deflection": 0.014055185331505212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003244)"
      },
      "parent_node_id": "node_1953",
      "improvement_over_parent": null
    },
    "node_1955": {
      "node_id": "node_1955",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69311502287914,
      "fos_buckling": 1.5303764256774701,
      "fos_yielding": 4.835125543005644,
      "deflection": 0.011227265984842857,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_1954",
      "improvement_over_parent": null
    },
    "node_1956": {
      "node_id": "node_1956",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1955",
      "improvement_over_parent": null
    },
    "node_1957": {
      "node_id": "node_1957",
      "content": "INITIAL DESIGN (Trace 277)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 101.18 kg\n  Factor of Safety: 0.58\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": 101.17962922926027,
      "fos_buckling": 0.5802910370478814,
      "fos_yielding": 2.528418899528897,
      "deflection": 0.021546375983198387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1958": {
      "node_id": "node_1958",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 115.79 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.7884611211211,
      "fos_buckling": 0.6561607390370818,
      "fos_yielding": 2.8920909587917634,
      "deflection": 0.018862342871298187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1957",
      "improvement_over_parent": null
    },
    "node_1959": {
      "node_id": "node_1959",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n\nPerformance:\n  Mass: 116.47 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.47241671260501,
      "fos_buckling": 0.6562386234713363,
      "fos_yielding": 2.942000879343708,
      "deflection": 0.018820400840587753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001466)"
      },
      "parent_node_id": "node_1958",
      "improvement_over_parent": null
    },
    "node_1960": {
      "node_id": "node_1960",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n\nPerformance:\n  Mass: 119.00 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.00173773060341,
      "fos_buckling": 0.6566709934875815,
      "fos_yielding": 2.9491060051717986,
      "deflection": 0.017698606998540846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.527)"
      },
      "parent_node_id": "node_1959",
      "improvement_over_parent": null
    },
    "node_1961": {
      "node_id": "node_1961",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 137.69 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.68689390360976,
      "fos_buckling": 0.7485303605122295,
      "fos_yielding": 3.4104248934473005,
      "deflection": 0.015325243522827126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_1960",
      "improvement_over_parent": null
    },
    "node_1962": {
      "node_id": "node_1962",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 164.37 kg\n  Factor of Safety: 0.87\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": 164.36551790501315,
      "fos_buckling": 0.8743367481746912,
      "fos_yielding": 4.068281414721243,
      "deflection": 0.01287181437460793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1961",
      "improvement_over_parent": null
    },
    "node_1963": {
      "node_id": "node_1963",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 195.95 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.94566179721699,
      "fos_buckling": 1.0150810495318947,
      "fos_yielding": 4.845768290046234,
      "deflection": 0.01083110519942707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1962",
      "improvement_over_parent": null
    },
    "node_1964": {
      "node_id": "node_1964",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.55615083029087,
      "fos_buckling": 1.529430690100873,
      "fos_yielding": 4.833066752707376,
      "deflection": 0.011234266336565412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_1963",
      "improvement_over_parent": null
    },
    "node_1965": {
      "node_id": "node_1965",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1964",
      "improvement_over_parent": null
    },
    "node_1966": {
      "node_id": "node_1966",
      "content": "INITIAL DESIGN (Trace 278)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 126.09 kg\n  Factor of Safety: 0.86\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": 126.08761028352026,
      "fos_buckling": 0.8627898937293104,
      "fos_yielding": 3.093031672843368,
      "deflection": 0.018236797528303032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1967": {
      "node_id": "node_1967",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 154.14 kg\n  Factor of Safety: 1.04\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": 154.140204816774,
      "fos_buckling": 1.0393650671572527,
      "fos_yielding": 3.7770357145507822,
      "deflection": 0.014974853830121095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1966",
      "improvement_over_parent": null
    },
    "node_1968": {
      "node_id": "node_1968",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 174.66 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.6600699754309,
      "fos_buckling": 1.1648925499921607,
      "fos_yielding": 4.276364241171793,
      "deflection": 0.01325216938516429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1967",
      "improvement_over_parent": null
    },
    "node_1969": {
      "node_id": "node_1969",
      "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 176.99 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.98539309334276,
      "fos_buckling": 1.359258547678047,
      "fos_yielding": 4.277409164169853,
      "deflection": 0.013343410609761405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.325)"
      },
      "parent_node_id": "node_1968",
      "improvement_over_parent": null
    },
    "node_1970": {
      "node_id": "node_1970",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 180.46 kg\n  Factor of Safety: 1.38\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": 180.46182811418984,
      "fos_buckling": 1.3804939900272848,
      "fos_yielding": 4.266783366668126,
      "deflection": 0.01269007634447382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.536)"
      },
      "parent_node_id": "node_1969",
      "improvement_over_parent": null
    },
    "node_1971": {
      "node_id": "node_1971",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76931831972905,
      "fos_buckling": 1.5307948961765825,
      "fos_yielding": 4.838350858322581,
      "deflection": 0.011223333464205149,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1970",
      "improvement_over_parent": null
    },
    "node_1972": {
      "node_id": "node_1972",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1971",
      "improvement_over_parent": null
    },
    "node_1973": {
      "node_id": "node_1973",
      "content": "INITIAL DESIGN (Trace 279)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 149.11 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.10708191452085,
      "fos_buckling": 0.8378543562150548,
      "fos_yielding": 4.129994547384908,
      "deflection": 0.014348132807856741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1974": {
      "node_id": "node_1974",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 156.00 kg\n  Factor of Safety: 0.84\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": 155.99510134439325,
      "fos_buckling": 0.8364151528850818,
      "fos_yielding": 4.129994547384908,
      "deflection": 0.015008613668652113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003901)"
      },
      "parent_node_id": "node_1973",
      "improvement_over_parent": null
    },
    "node_1975": {
      "node_id": "node_1975",
      "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 157.52 kg\n  Factor of Safety: 0.97\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": 157.51618272798547,
      "fos_buckling": 0.9651445180164783,
      "fos_yielding": 4.129994547384908,
      "deflection": 0.014740740247424406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.192)"
      },
      "parent_node_id": "node_1974",
      "improvement_over_parent": null
    },
    "node_1976": {
      "node_id": "node_1976",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 196.83 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.8293415591525,
      "fos_buckling": 1.153927354724193,
      "fos_yielding": 5.1598296342351695,
      "deflection": 0.01186961921729905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1975",
      "improvement_over_parent": null
    },
    "node_1977": {
      "node_id": "node_1977",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61099007140498,
      "fos_buckling": 1.5298140667441837,
      "fos_yielding": 4.834507001473379,
      "deflection": 0.011231729501771114,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1976",
      "improvement_over_parent": null
    },
    "node_1978": {
      "node_id": "node_1978",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 280)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0052)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n  Mass: 161.30 kg\n  Factor of Safety: 0.63\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.29723395258557,
      "fos_buckling": 0.6316762115936172,
      "fos_yielding": 3.7254696063566843,
      "deflection": 0.0310588998593406,
      "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 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.62 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.62039958482373,
      "fos_buckling": 0.6830705468166626,
      "fos_yielding": 4.091363691960305,
      "deflection": 0.02823136120456593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_1979",
      "improvement_over_parent": null
    },
    "node_1981": {
      "node_id": "node_1981",
      "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.06 kg\n  Factor of Safety: 0.68\n  Max Deflection: 2.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.0587698802549,
      "fos_buckling": 0.6823014945645441,
      "fos_yielding": 4.086805267403823,
      "deflection": 0.02627436351876223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.453)"
      },
      "parent_node_id": "node_1980",
      "improvement_over_parent": null
    },
    "node_1982": {
      "node_id": "node_1982",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 193.07 kg\n  Factor of Safety: 1.04\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": 193.0744267561419,
      "fos_buckling": 1.0428903173222808,
      "fos_yielding": 5.161780691092025,
      "deflection": 0.013095730307331428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1981",
      "improvement_over_parent": null
    },
    "node_1983": {
      "node_id": "node_1983",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 200.86 kg\n  Factor of Safety: 1.06\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": 200.85607526839436,
      "fos_buckling": 1.0618512953987005,
      "fos_yielding": 4.891552394135293,
      "deflection": 0.012861313321150458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_1982",
      "improvement_over_parent": null
    },
    "node_1984": {
      "node_id": "node_1984",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 203.97 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.97145316811478,
      "fos_buckling": 1.5284448364123895,
      "fos_yielding": 4.840468601345345,
      "deflection": 0.011344925895032242,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_1983",
      "improvement_over_parent": null
    },
    "node_1985": {
      "node_id": "node_1985",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68758499458843,
      "fos_buckling": 1.5302910443447582,
      "fos_yielding": 4.836330220496922,
      "deflection": 0.011227354300380995,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_1984",
      "improvement_over_parent": null
    },
    "node_1986": {
      "node_id": "node_1986",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1985",
      "improvement_over_parent": null
    },
    "node_1987": {
      "node_id": "node_1987",
      "content": "INITIAL DESIGN (Trace 281)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 152.94 kg\n  Factor of Safety: 0.89\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": 152.9433202356564,
      "fos_buckling": 0.8880257855864744,
      "fos_yielding": 3.7418500691775036,
      "deflection": 0.015640662714098804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1988": {
      "node_id": "node_1988",
      "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 157.34 kg\n  Factor of Safety: 0.98\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": 157.34482470017065,
      "fos_buckling": 0.9764927320192693,
      "fos_yielding": 3.7448334401744714,
      "deflection": 0.014449990423604776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.590)"
      },
      "parent_node_id": "node_1987",
      "improvement_over_parent": null
    },
    "node_1989": {
      "node_id": "node_1989",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.66 kg\n  Factor of Safety: 1.24\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": 203.66186450980376,
      "fos_buckling": 1.2432560600216471,
      "fos_yielding": 4.84071385112692,
      "deflection": 0.011239728097856483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1988",
      "improvement_over_parent": null
    },
    "node_1990": {
      "node_id": "node_1990",
      "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.81858510425226,
      "fos_buckling": 1.5310647050293409,
      "fos_yielding": 4.839397976053088,
      "deflection": 0.011220178106190639,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.647)"
      },
      "parent_node_id": "node_1989",
      "improvement_over_parent": null
    },
    "node_1991": {
      "node_id": "node_1991",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1990",
      "improvement_over_parent": null
    },
    "node_1992": {
      "node_id": "node_1992",
      "content": "INITIAL DESIGN (Trace 282)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 144.51 kg\n  Factor of Safety: 0.55\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": 144.5130481850354,
      "fos_buckling": 0.5480767011291419,
      "fos_yielding": 3.663947539915987,
      "deflection": 0.020012160265046607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1993": {
      "node_id": "node_1993",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.44 kg\n  Factor of Safety: 0.68\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": 188.44463028831902,
      "fos_buckling": 0.6826612556437285,
      "fos_yielding": 4.769610511098773,
      "deflection": 0.015402748479144848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_1992",
      "improvement_over_parent": null
    },
    "node_1994": {
      "node_id": "node_1994",
      "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.84 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.84298946659698,
      "fos_buckling": 0.682407417462711,
      "fos_yielding": 4.768742537448549,
      "deflection": 0.013816824538104174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.642)"
      },
      "parent_node_id": "node_1993",
      "improvement_over_parent": null
    },
    "node_1995": {
      "node_id": "node_1995",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 203.86 kg\n  Factor of Safety: 1.49\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": 203.85864634248395,
      "fos_buckling": 1.4921424017764051,
      "fos_yielding": 4.852578716122489,
      "deflection": 0.01125204714812107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_1994",
      "improvement_over_parent": null
    },
    "node_1996": {
      "node_id": "node_1996",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7611020497673,
      "fos_buckling": 1.5308061119074772,
      "fos_yielding": 4.838430100439378,
      "deflection": 0.011223630983360123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.225)"
      },
      "parent_node_id": "node_1995",
      "improvement_over_parent": null
    },
    "node_1997": {
      "node_id": "node_1997",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1996",
      "improvement_over_parent": null
    },
    "node_1998": {
      "node_id": "node_1998",
      "content": "INITIAL DESIGN (Trace 283)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.62 kg\n  Factor of Safety: 1.09\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": 189.6237546080905,
      "fos_buckling": 1.093890980279394,
      "fos_yielding": 4.850128770087967,
      "deflection": 0.012805331901626742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1999": {
      "node_id": "node_1999",
      "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.35 kg\n  Factor of Safety: 1.09\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": 193.3536942959376,
      "fos_buckling": 1.0935453903420007,
      "fos_yielding": 4.855424553398127,
      "deflection": 0.0124530042066331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.562)"
      },
      "parent_node_id": "node_1998",
      "improvement_over_parent": null
    },
    "node_2000": {
      "node_id": "node_2000",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.51 kg\n  Factor of Safety: 1.09\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": 194.51400696334173,
      "fos_buckling": 1.093509567370815,
      "fos_yielding": 4.836561392513081,
      "deflection": 0.012418587159833563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.307)"
      },
      "parent_node_id": "node_1999",
      "improvement_over_parent": null
    },
    "node_2001": {
      "node_id": "node_2001",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 203.98 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.97832152539655,
      "fos_buckling": 1.528549871306871,
      "fos_yielding": 4.840902846475832,
      "deflection": 0.011345006813872145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2000",
      "improvement_over_parent": null
    },
    "node_2002": {
      "node_id": "node_2002",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6944533518702,
      "fos_buckling": 1.5304009698542647,
      "fos_yielding": 4.83675576112414,
      "deflection": 0.011227150746570788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2001",
      "improvement_over_parent": null
    },
    "node_2003": {
      "node_id": "node_2003",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2002",
      "improvement_over_parent": null
    },
    "node_2004": {
      "node_id": "node_2004",
      "content": "INITIAL DESIGN (Trace 284)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 158.15 kg\n  Factor of Safety: 0.98\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": 158.14925319353765,
      "fos_buckling": 0.9750537887230029,
      "fos_yielding": 4.179738467091235,
      "deflection": 0.014596863722272944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2005": {
      "node_id": "node_2005",
      "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 159.41 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.41291910515187,
      "fos_buckling": 0.9745420841104038,
      "fos_yielding": 4.179738467091235,
      "deflection": 0.014569849359355314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.211)"
      },
      "parent_node_id": "node_2004",
      "improvement_over_parent": null
    },
    "node_2006": {
      "node_id": "node_2006",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n  Mass: 165.71 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.71156932520108,
      "fos_buckling": 1.2852261702490153,
      "fos_yielding": 3.919634333915377,
      "deflection": 0.01378967825505452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003756)"
      },
      "parent_node_id": "node_2005",
      "improvement_over_parent": null
    },
    "node_2007": {
      "node_id": "node_2007",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65069650243768,
      "fos_buckling": 1.5300949276128322,
      "fos_yielding": 4.835626820209244,
      "deflection": 0.011229464156492355,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2006",
      "improvement_over_parent": null
    },
    "node_2008": {
      "node_id": "node_2008",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2007",
      "improvement_over_parent": null
    },
    "node_2009": {
      "node_id": "node_2009",
      "content": "INITIAL DESIGN (Trace 285)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 124.79 kg\n  Factor of Safety: 0.32\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": 124.79284237771242,
      "fos_buckling": 0.3230527952397563,
      "fos_yielding": 2.784741474403313,
      "deflection": 0.021940930802580687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2010": {
      "node_id": "node_2010",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 141.61 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.60987653281467,
      "fos_buckling": 0.3595036409357191,
      "fos_yielding": 3.1567097358517384,
      "deflection": 0.01938810967834957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2009",
      "improvement_over_parent": null
    },
    "node_2011": {
      "node_id": "node_2011",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 142.15 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.15490638124678,
      "fos_buckling": 0.3594383190577912,
      "fos_yielding": 3.1565967977028255,
      "deflection": 0.018917033621274743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001486)"
      },
      "parent_node_id": "node_2010",
      "improvement_over_parent": null
    },
    "node_2012": {
      "node_id": "node_2012",
      "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 143.40 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.4049928598883,
      "fos_buckling": 0.3594383190577912,
      "fos_yielding": 3.1565967977028255,
      "deflection": 0.01885010739119007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.348)"
      },
      "parent_node_id": "node_2011",
      "improvement_over_parent": null
    },
    "node_2013": {
      "node_id": "node_2013",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n  Mass: 152.95 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.95309860927122,
      "fos_buckling": 1.1665241111466622,
      "fos_yielding": 3.6890288475172026,
      "deflection": 0.014770290710076758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004465)"
      },
      "parent_node_id": "node_2012",
      "improvement_over_parent": null
    },
    "node_2014": {
      "node_id": "node_2014",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0064)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 179.05 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.04810614356623,
      "fos_buckling": 1.3327669753768594,
      "fos_yielding": 4.314962104695153,
      "deflection": 0.012665806767632685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2013",
      "improvement_over_parent": null
    },
    "node_2015": {
      "node_id": "node_2015",
      "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0064)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0027)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 179.36 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.35852172404216,
      "fos_buckling": 1.333042906899044,
      "fos_yielding": 4.314293928287467,
      "deflection": 0.012643555907719782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.555)"
      },
      "parent_node_id": "node_2014",
      "improvement_over_parent": null
    },
    "node_2016": {
      "node_id": "node_2016",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0072)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0031)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 201.24 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.23903604501237,
      "fos_buckling": 1.4650203034897338,
      "fos_yielding": 4.837542129657727,
      "deflection": 0.01130490177004702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2015",
      "improvement_over_parent": null
    },
    "node_2017": {
      "node_id": "node_2017",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2016",
      "improvement_over_parent": null
    },
    "node_2018": {
      "node_id": "node_2018",
      "content": "INITIAL DESIGN (Trace 286)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 113.04 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.039957449207,
      "fos_buckling": 0.6347213094630796,
      "fos_yielding": 2.841569488968486,
      "deflection": 0.018877771900658504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2019": {
      "node_id": "node_2019",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 132.01 kg\n  Factor of Safety: 0.73\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": 132.0105362273315,
      "fos_buckling": 0.7298977576099319,
      "fos_yielding": 3.3163590668948837,
      "deflection": 0.01620777957971206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2018",
      "improvement_over_parent": null
    },
    "node_2020": {
      "node_id": "node_2020",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 158.40 kg\n  Factor of Safety: 0.86\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": 158.40378059913363,
      "fos_buckling": 0.8568389278151408,
      "fos_yielding": 3.9758995886133857,
      "deflection": 0.013556661259814891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2019",
      "improvement_over_parent": null
    },
    "node_2021": {
      "node_id": "node_2021",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n  Mass: 165.46 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.4622455207847,
      "fos_buckling": 1.161529536499738,
      "fos_yielding": 3.9669204863583793,
      "deflection": 0.014183835277032186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004005)"
      },
      "parent_node_id": "node_2020",
      "improvement_over_parent": null
    },
    "node_2022": {
      "node_id": "node_2022",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 201.97 kg\n  Factor of Safety: 1.38\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": 201.97303992589846,
      "fos_buckling": 1.3790203274005837,
      "fos_yielding": 4.836440583530804,
      "deflection": 0.011674837591001986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2021",
      "improvement_over_parent": null
    },
    "node_2023": {
      "node_id": "node_2023",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.62216762666483,
      "fos_buckling": 1.5297976210138977,
      "fos_yielding": 4.834521818556863,
      "deflection": 0.011230554268850385,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.232)"
      },
      "parent_node_id": "node_2022",
      "improvement_over_parent": null
    },
    "node_2024": {
      "node_id": "node_2024",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2023",
      "improvement_over_parent": null
    },
    "node_2025": {
      "node_id": "node_2025",
      "content": "INITIAL DESIGN (Trace 287)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 143.28 kg\n  Factor of Safety: 0.27\n  Max Deflection: 5.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.28103202089838,
      "fos_buckling": 0.2682756880041739,
      "fos_yielding": 2.0485268821654605,
      "deflection": 0.055865629230402974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2026": {
      "node_id": "node_2026",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n\nPerformance:\n  Mass: 151.06 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.05792920390678,
      "fos_buckling": 1.0635011833224857,
      "fos_yielding": 3.6604267900695793,
      "deflection": 0.015251435004434922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003887)"
      },
      "parent_node_id": "node_2025",
      "improvement_over_parent": null
    },
    "node_2027": {
      "node_id": "node_2027",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n\nPerformance:\n  Mass: 153.48 kg\n  Factor of Safety: 1.08\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": 153.4750403367064,
      "fos_buckling": 1.0785647669884966,
      "fos_yielding": 3.6575508716645104,
      "deflection": 0.014653008756367008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.229)"
      },
      "parent_node_id": "node_2026",
      "improvement_over_parent": null
    },
    "node_2028": {
      "node_id": "node_2028",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0073)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n\nPerformance:\n  Mass: 172.08 kg\n  Factor of Safety: 1.19\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": 172.08391522369735,
      "fos_buckling": 1.1914336709151838,
      "fos_yielding": 4.099174254026904,
      "deflection": 0.013106490820473885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2027",
      "improvement_over_parent": null
    },
    "node_2029": {
      "node_id": "node_2029",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0073)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 172.69 kg\n  Factor of Safety: 1.20\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": 172.69074622377667,
      "fos_buckling": 1.2020553822379245,
      "fos_yielding": 4.097258925700922,
      "deflection": 0.013026817959562283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001668)"
      },
      "parent_node_id": "node_2028",
      "improvement_over_parent": null
    },
    "node_2030": {
      "node_id": "node_2030",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 203.81 kg\n  Factor of Safety: 1.38\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": 203.80832980775065,
      "fos_buckling": 1.3833215741490654,
      "fos_yielding": 4.8318938662965785,
      "deflection": 0.011091420695262245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2029",
      "improvement_over_parent": null
    },
    "node_2031": {
      "node_id": "node_2031",
      "content": "MODIFICATION: Increase 17 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0077)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 206.57 kg\n  Factor of Safety: 1.38\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": 206.57359118343277,
      "fos_buckling": 1.3825268904771053,
      "fos_yielding": 4.831878551151314,
      "deflection": 0.011035623883499482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.224)"
      },
      "parent_node_id": "node_2030",
      "improvement_over_parent": null
    },
    "node_2032": {
      "node_id": "node_2032",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2031",
      "improvement_over_parent": null
    },
    "node_2033": {
      "node_id": "node_2033",
      "content": "INITIAL DESIGN (Trace 288)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 110.18 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.17653057699518,
      "fos_buckling": 0.1743531621476177,
      "fos_yielding": 0.8230502006614635,
      "deflection": 0.05966112945349906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2034": {
      "node_id": "node_2034",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 119.63 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.28e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.6306602220298,
      "fos_buckling": 0.3025713008081993,
      "fos_yielding": 2.583573438507208,
      "deflection": 0.022798564957167845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004285)"
      },
      "parent_node_id": "node_2033",
      "improvement_over_parent": null
    },
    "node_2035": {
      "node_id": "node_2035",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 143.26 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.26176802205035,
      "fos_buckling": 0.3529337557615781,
      "fos_yielding": 3.0902129175573454,
      "deflection": 0.0191094998244259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2034",
      "improvement_over_parent": null
    },
    "node_2036": {
      "node_id": "node_2036",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 165.91 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.90813207097528,
      "fos_buckling": 0.39839377561096406,
      "fos_yielding": 3.5746030314966193,
      "deflection": 0.016560290214593647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2035",
      "improvement_over_parent": null
    },
    "node_2037": {
      "node_id": "node_2037",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 192.34 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.3350820435903,
      "fos_buckling": 0.4480294306526985,
      "fos_yielding": 4.138455553180456,
      "deflection": 0.014344513991194994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2036",
      "improvement_over_parent": null
    },
    "node_2038": {
      "node_id": "node_2038",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8740743835596,
      "fos_buckling": 1.53150109280296,
      "fos_yielding": 4.840980396982561,
      "deflection": 0.011217421468984327,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2037",
      "improvement_over_parent": null
    },
    "node_2039": {
      "node_id": "node_2039",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2038",
      "improvement_over_parent": null
    },
    "node_2040": {
      "node_id": "node_2040",
      "content": "INITIAL DESIGN (Trace 289)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 143.42 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.89e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.4247293183719,
      "fos_buckling": 0.17167631638207537,
      "fos_yielding": 2.0357985348452274,
      "deflection": 18929445200884.832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2041": {
      "node_id": "node_2041",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n  Mass: 152.64 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.63756061075193,
      "fos_buckling": 0.231907475960579,
      "fos_yielding": 0.892865721821645,
      "deflection": 0.04387394988970498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004532)"
      },
      "parent_node_id": "node_2040",
      "improvement_over_parent": null
    },
    "node_2042": {
      "node_id": "node_2042",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 164.88 kg\n  Factor of Safety: 1.28\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": 164.879936077159,
      "fos_buckling": 1.2805952302660228,
      "fos_yielding": 3.9041045458109833,
      "deflection": 0.013862722778453528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005643)"
      },
      "parent_node_id": "node_2041",
      "improvement_over_parent": null
    },
    "node_2043": {
      "node_id": "node_2043",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0046)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 165.77 kg\n  Factor of Safety: 1.30\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": 165.76549415530675,
      "fos_buckling": 1.2970006109409125,
      "fos_yielding": 3.9034602026177856,
      "deflection": 0.01384687531881501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.391)"
      },
      "parent_node_id": "node_2042",
      "improvement_over_parent": null
    },
    "node_2044": {
      "node_id": "node_2044",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.59 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.59150392425965,
      "fos_buckling": 1.5492813623072932,
      "fos_yielding": 4.8368841786575585,
      "deflection": 0.011227902810802545,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2043",
      "improvement_over_parent": null
    },
    "node_2045": {
      "node_id": "node_2045",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2044",
      "improvement_over_parent": null
    },
    "node_2046": {
      "node_id": "node_2046",
      "content": "INITIAL DESIGN (Trace 290)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.01 kg\n  Factor of Safety: 1.09\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": 191.01277007482165,
      "fos_buckling": 1.0936845862576567,
      "fos_yielding": 4.812144419049255,
      "deflection": 0.012550229684201167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2047": {
      "node_id": "node_2047",
      "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.18 kg\n  Factor of Safety: 1.09\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": 193.1758247807256,
      "fos_buckling": 1.093484221867346,
      "fos_yielding": 4.80732929909625,
      "deflection": 0.012493005580393245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.323)"
      },
      "parent_node_id": "node_2046",
      "improvement_over_parent": null
    },
    "node_2048": {
      "node_id": "node_2048",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.23 kg\n  Factor of Safety: 1.09\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": 195.22773070643817,
      "fos_buckling": 1.093420880928142,
      "fos_yielding": 4.835250132064872,
      "deflection": 0.012387239898692524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.215)"
      },
      "parent_node_id": "node_2047",
      "improvement_over_parent": null
    },
    "node_2049": {
      "node_id": "node_2049",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.692045268493,
      "fos_buckling": 1.5304023617074527,
      "fos_yielding": 4.836716095107153,
      "deflection": 0.011227131044697105,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2048",
      "improvement_over_parent": null
    },
    "node_2050": {
      "node_id": "node_2050",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2049",
      "improvement_over_parent": null
    },
    "node_2051": {
      "node_id": "node_2051",
      "content": "INITIAL DESIGN (Trace 291)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 142.66 kg\n  Factor of Safety: 1.14\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": 142.66175950290267,
      "fos_buckling": 1.140267109398386,
      "fos_yielding": 3.42036922717238,
      "deflection": 0.016202201135313284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2052": {
      "node_id": "node_2052",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 162.85 kg\n  Factor of Safety: 1.28\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": 162.84848345346873,
      "fos_buckling": 1.2795701320740367,
      "fos_yielding": 3.9018455614903127,
      "deflection": 0.014233494515058653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2051",
      "improvement_over_parent": null
    },
    "node_2053": {
      "node_id": "node_2053",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 164.75 kg\n  Factor of Safety: 1.28\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": 164.7509435686013,
      "fos_buckling": 1.2788756720511971,
      "fos_yielding": 3.8968643956392506,
      "deflection": 0.013867729929917702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.266)"
      },
      "parent_node_id": "node_2052",
      "improvement_over_parent": null
    },
    "node_2054": {
      "node_id": "node_2054",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.81312178069751,
      "fos_buckling": 1.5310287929486195,
      "fos_yielding": 4.839263188899725,
      "deflection": 0.011220503149063229,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2053",
      "improvement_over_parent": null
    },
    "node_2055": {
      "node_id": "node_2055",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2054",
      "improvement_over_parent": null
    },
    "node_2056": {
      "node_id": "node_2056",
      "content": "INITIAL DESIGN (Trace 292)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 113.63 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.62668529051092,
      "fos_buckling": 0.8182558589595598,
      "fos_yielding": 2.5381757029267233,
      "deflection": 0.019927059308582018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2057": {
      "node_id": "node_2057",
      "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 113.96 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.95903649694816,
      "fos_buckling": 0.8129571112831507,
      "fos_yielding": 2.5217393371360743,
      "deflection": 0.0199132268248082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.247)"
      },
      "parent_node_id": "node_2056",
      "improvement_over_parent": null
    },
    "node_2058": {
      "node_id": "node_2058",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 138.35 kg\n  Factor of Safety: 0.97\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": 138.34747450969076,
      "fos_buckling": 0.972305198429383,
      "fos_yielding": 3.0647658365969273,
      "deflection": 0.016461533115413284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_2057",
      "improvement_over_parent": null
    },
    "node_2059": {
      "node_id": "node_2059",
      "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 139.05 kg\n  Factor of Safety: 1.11\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": 139.04626754866163,
      "fos_buckling": 1.1051423961086748,
      "fos_yielding": 3.29123932489148,
      "deflection": 0.016370146663966374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.263)"
      },
      "parent_node_id": "node_2058",
      "improvement_over_parent": null
    },
    "node_2060": {
      "node_id": "node_2060",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 172.30 kg\n  Factor of Safety: 1.33\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": 172.29854063104236,
      "fos_buckling": 1.328170350040565,
      "fos_yielding": 4.07468905330067,
      "deflection": 0.013275308666361991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2059",
      "improvement_over_parent": null
    },
    "node_2061": {
      "node_id": "node_2061",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61624482473812,
      "fos_buckling": 1.5299037467519083,
      "fos_yielding": 4.834782552379782,
      "deflection": 0.01123133019647368,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2060",
      "improvement_over_parent": null
    },
    "node_2062": {
      "node_id": "node_2062",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 293)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 120.21 kg\n  Factor of Safety: 0.78\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": 120.21272523786872,
      "fos_buckling": 0.7782843805137157,
      "fos_yielding": 3.4446059028006877,
      "deflection": 0.021016212255874515,
      "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 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 153.66 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.66245076890473,
      "fos_buckling": 0.9603427312094087,
      "fos_yielding": 4.4005990850226855,
      "deflection": 0.01650918805000846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2063",
      "improvement_over_parent": null
    },
    "node_2065": {
      "node_id": "node_2065",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 180.16 kg\n  Factor of Safety: 1.09\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": 180.15907466218795,
      "fos_buckling": 1.0940800934748727,
      "fos_yielding": 5.157009464428248,
      "deflection": 0.014126262152365726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2064",
      "improvement_over_parent": null
    },
    "node_2066": {
      "node_id": "node_2066",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 185.47 kg\n  Factor of Safety: 1.09\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": 185.46712013918244,
      "fos_buckling": 1.0939159644529244,
      "fos_yielding": 4.8360340703397675,
      "deflection": 0.013495307405743786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2065",
      "improvement_over_parent": null
    },
    "node_2067": {
      "node_id": "node_2067",
      "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0088)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 190.10 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.10377850848636,
      "fos_buckling": 1.0934860903860928,
      "fos_yielding": 4.83587205173523,
      "deflection": 0.013500447270022871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.572)"
      },
      "parent_node_id": "node_2066",
      "improvement_over_parent": null
    },
    "node_2068": {
      "node_id": "node_2068",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0088)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 203.99 kg\n  Factor of Safety: 1.16\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": 203.98868538410795,
      "fos_buckling": 1.1646679401779865,
      "fos_yielding": 4.8372546291484655,
      "deflection": 0.012209741716054606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2067",
      "improvement_over_parent": null
    },
    "node_2069": {
      "node_id": "node_2069",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2068",
      "improvement_over_parent": null
    },
    "node_2070": {
      "node_id": "node_2070",
      "content": "INITIAL DESIGN (Trace 294)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 150.11 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.1094960281868,
      "fos_buckling": 0.2311758381760878,
      "fos_yielding": 1.1153163414627238,
      "deflection": 0.04186097687886275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2071": {
      "node_id": "node_2071",
      "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 152.13 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.13317320944583,
      "fos_buckling": 0.23105777531949706,
      "fos_yielding": 1.1209244240895655,
      "deflection": 0.041867177405934916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.387)"
      },
      "parent_node_id": "node_2070",
      "improvement_over_parent": null
    },
    "node_2072": {
      "node_id": "node_2072",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.41 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.4093888202972,
      "fos_buckling": 0.27623410040069507,
      "fos_yielding": 1.3894537855846039,
      "deflection": 0.03378736206310055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2071",
      "improvement_over_parent": null
    },
    "node_2073": {
      "node_id": "node_2073",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 200.69 kg\n  Factor of Safety: 1.28\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": 200.69400206757385,
      "fos_buckling": 1.2752225694859156,
      "fos_yielding": 4.837121847185192,
      "deflection": 0.011950445049397152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005171)"
      },
      "parent_node_id": "node_2072",
      "improvement_over_parent": null
    },
    "node_2074": {
      "node_id": "node_2074",
      "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0078)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 203.83 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.8296642265699,
      "fos_buckling": 1.2765931917665045,
      "fos_yielding": 4.837118195656116,
      "deflection": 0.011881533751751258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.379)"
      },
      "parent_node_id": "node_2073",
      "improvement_over_parent": null
    },
    "node_2075": {
      "node_id": "node_2075",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2074",
      "improvement_over_parent": null
    },
    "node_2076": {
      "node_id": "node_2076",
      "content": "INITIAL DESIGN (Trace 295)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 129.97 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.97000610538055,
      "fos_buckling": 0.2730917013828553,
      "fos_yielding": 1.5791334618758206,
      "deflection": 0.0374224695999413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2077": {
      "node_id": "node_2077",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 131.38 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.3786627383691,
      "fos_buckling": 0.273059232842772,
      "fos_yielding": 1.578946658659818,
      "deflection": 0.037152625321619046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.253)"
      },
      "parent_node_id": "node_2076",
      "improvement_over_parent": null
    },
    "node_2078": {
      "node_id": "node_2078",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 140.99 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.9923845857338,
      "fos_buckling": 0.18013188578938225,
      "fos_yielding": 3.974457957721473,
      "deflection": 0.016318058534397443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004870)"
      },
      "parent_node_id": "node_2077",
      "improvement_over_parent": null
    },
    "node_2079": {
      "node_id": "node_2079",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 183.20 kg\n  Factor of Safety: 0.22\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": 183.20432694879793,
      "fos_buckling": 0.22469351125922687,
      "fos_yielding": 5.16086009456275,
      "deflection": 0.012600521644102969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2078",
      "improvement_over_parent": null
    },
    "node_2080": {
      "node_id": "node_2080",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 187.95 kg\n  Factor of Safety: 0.22\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": 187.94674857566227,
      "fos_buckling": 0.2246016668960449,
      "fos_yielding": 5.16086009456275,
      "deflection": 0.012007112959263742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.550)"
      },
      "parent_node_id": "node_2079",
      "improvement_over_parent": null
    },
    "node_2081": {
      "node_id": "node_2081",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 199.37 kg\n  Factor of Safety: 1.15\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": 199.3739487417019,
      "fos_buckling": 1.1533835448611336,
      "fos_yielding": 5.160860094562748,
      "deflection": 0.011869190857792046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2080",
      "improvement_over_parent": null
    },
    "node_2082": {
      "node_id": "node_2082",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6819942186964,
      "fos_buckling": 1.53040088696208,
      "fos_yielding": 4.836450495569606,
      "deflection": 0.011227910844872404,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2081",
      "improvement_over_parent": null
    },
    "node_2083": {
      "node_id": "node_2083",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2082",
      "improvement_over_parent": null
    },
    "node_2084": {
      "node_id": "node_2084",
      "content": "INITIAL DESIGN (Trace 296)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0023)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 110.46 kg\n  Factor of Safety: 0.71\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": 110.45855282854322,
      "fos_buckling": 0.7069332843161176,
      "fos_yielding": 2.905669811671557,
      "deflection": 0.02189884450653177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2085": {
      "node_id": "node_2085",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0023)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n  Mass: 118.77 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.76916657095234,
      "fos_buckling": 0.977901298555257,
      "fos_yielding": 2.9064639662133644,
      "deflection": 0.019853643265605958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003639)"
      },
      "parent_node_id": "node_2084",
      "improvement_over_parent": null
    },
    "node_2086": {
      "node_id": "node_2086",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 134.69 kg\n  Factor of Safety: 1.09\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": 134.68567777224,
      "fos_buckling": 1.0947448096772012,
      "fos_yielding": 3.2939951020522455,
      "deflection": 0.01754226321767242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2085",
      "improvement_over_parent": null
    },
    "node_2087": {
      "node_id": "node_2087",
      "content": "MODIFICATION: Increase 16 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 136.02 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.01754658101237,
      "fos_buckling": 1.0829989288216282,
      "fos_yielding": 3.2968714049690826,
      "deflection": 0.017350308913222263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.230)"
      },
      "parent_node_id": "node_2086",
      "improvement_over_parent": null
    },
    "node_2088": {
      "node_id": "node_2088",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 154.70 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.7008810413008,
      "fos_buckling": 1.2119515039437325,
      "fos_yielding": 3.7473413318962194,
      "deflection": 0.015290711124929239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2087",
      "improvement_over_parent": null
    },
    "node_2089": {
      "node_id": "node_2089",
      "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 157.97 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.96657345743543,
      "fos_buckling": 1.233960634597588,
      "fos_yielding": 3.737159029952655,
      "deflection": 0.014449456200411747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.590)"
      },
      "parent_node_id": "node_2088",
      "improvement_over_parent": null
    },
    "node_2090": {
      "node_id": "node_2090",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 175.06 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.06282116973165,
      "fos_buckling": 1.3459897831317489,
      "fos_yielding": 4.139723027101199,
      "deflection": 0.01307097867470584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2089",
      "improvement_over_parent": null
    },
    "node_2091": {
      "node_id": "node_2091",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 205.02 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.01964759648794,
      "fos_buckling": 1.532314150265823,
      "fos_yielding": 4.8442253483767,
      "deflection": 0.011209901367319444,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2090",
      "improvement_over_parent": null
    },
    "node_2092": {
      "node_id": "node_2092",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2091",
      "improvement_over_parent": null
    },
    "node_2093": {
      "node_id": "node_2093",
      "content": "INITIAL DESIGN (Trace 297)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 146.37 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.45e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.37239759707882,
      "fos_buckling": 0.11424485570984373,
      "fos_yielding": 0.9860844127543579,
      "deflection": 144988055508744.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2094": {
      "node_id": "node_2094",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n\nPerformance:\n  Mass: 156.06 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.19e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.0567130362326,
      "fos_buckling": 0.16336674687145614,
      "fos_yielding": 3.9443376510174315,
      "deflection": 11920515189058.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004886)"
      },
      "parent_node_id": "node_2093",
      "improvement_over_parent": null
    },
    "node_2095": {
      "node_id": "node_2095",
      "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n\nPerformance:\n  Mass: 159.50 kg\n  Factor of Safety: 0.51\n  Max Deflection: 7.83e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.49705883013334,
      "fos_buckling": 0.5140676432669279,
      "fos_yielding": 4.586059968580259,
      "deflection": 7826994609106.281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.412)"
      },
      "parent_node_id": "node_2094",
      "improvement_over_parent": null
    },
    "node_2096": {
      "node_id": "node_2096",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 181.43 kg\n  Factor of Safety: 0.24\n  Max Deflection: 2.61e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.4305624230152,
      "fos_buckling": 0.24141578789580023,
      "fos_yielding": 1.9721688255087158,
      "deflection": 26142393637435.156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2095",
      "improvement_over_parent": null
    },
    "node_2097": {
      "node_id": "node_2097",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 182.68 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.21e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.68315582273854,
      "fos_buckling": 0.3379821030541203,
      "fos_yielding": 1.9721688255087153,
      "deflection": 22147087229999.14,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.339)"
      },
      "parent_node_id": "node_2096",
      "improvement_over_parent": null
    },
    "node_2098": {
      "node_id": "node_2098",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 195.17 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.1709628997553,
      "fos_buckling": 0.42580988346630394,
      "fos_yielding": 4.902383638719405,
      "deflection": 0.012665132836607642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2097",
      "improvement_over_parent": null
    },
    "node_2099": {
      "node_id": "node_2099",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68662071675564,
      "fos_buckling": 1.5304765108487481,
      "fos_yielding": 4.836606487567811,
      "deflection": 0.011227527652334248,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2098",
      "improvement_over_parent": null
    },
    "node_2100": {
      "node_id": "node_2100",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2099",
      "improvement_over_parent": null
    },
    "node_2101": {
      "node_id": "node_2101",
      "content": "INITIAL DESIGN (Trace 298)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 108.72 kg\n  Factor of Safety: 0.18\n  Max Deflection: 6.78e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.71857251430558,
      "fos_buckling": 0.1839595660417188,
      "fos_yielding": 0.5410942722948487,
      "deflection": 0.06784344412064057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2102": {
      "node_id": "node_2102",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 129.02 kg\n  Factor of Safety: 0.21\n  Max Deflection: 5.73e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.01728600743903,
      "fos_buckling": 0.21342863782972954,
      "fos_yielding": 0.6406707140694704,
      "deflection": 0.057307067825850974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2101",
      "improvement_over_parent": null
    },
    "node_2103": {
      "node_id": "node_2103",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n\nPerformance:\n  Mass: 137.05 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.05017818610483,
      "fos_buckling": 0.21299491743431678,
      "fos_yielding": 1.0167405682661987,
      "deflection": 0.046026999545383036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003996)"
      },
      "parent_node_id": "node_2102",
      "improvement_over_parent": null
    },
    "node_2104": {
      "node_id": "node_2104",
      "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n\nPerformance:\n  Mass: 138.13 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.60e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.12717626958445,
      "fos_buckling": 0.21293690099454296,
      "fos_yielding": 1.0194530926851537,
      "deflection": 0.0460306502510307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.196)"
      },
      "parent_node_id": "node_2103",
      "improvement_over_parent": null
    },
    "node_2105": {
      "node_id": "node_2105",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n  Mass: 159.88 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.99e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.8807196712985,
      "fos_buckling": 0.240800386511983,
      "fos_yielding": 1.176973239775138,
      "deflection": 0.0398781102364818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2104",
      "improvement_over_parent": null
    },
    "node_2106": {
      "node_id": "node_2106",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 172.70 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.69555039287775,
      "fos_buckling": 1.3306400201712503,
      "fos_yielding": 4.083774386461394,
      "deflection": 0.013245071325584506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005928)"
      },
      "parent_node_id": "node_2105",
      "improvement_over_parent": null
    },
    "node_2107": {
      "node_id": "node_2107",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6154329841334,
      "fos_buckling": 1.5297910903865939,
      "fos_yielding": 4.834460826554625,
      "deflection": 0.011230970690209343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2106",
      "improvement_over_parent": null
    },
    "node_2108": {
      "node_id": "node_2108",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2107",
      "improvement_over_parent": null
    },
    "node_2109": {
      "node_id": "node_2109",
      "content": "INITIAL DESIGN (Trace 299)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.98 kg\n  Factor of Safety: 1.09\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": 190.97683079257212,
      "fos_buckling": 1.0937272144216272,
      "fos_yielding": 4.826924609080602,
      "deflection": 0.012991896290928166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2110": {
      "node_id": "node_2110",
      "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.93 kg\n  Factor of Safety: 1.09\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": 191.92829223149243,
      "fos_buckling": 1.0937272144216272,
      "fos_yielding": 4.826924609080602,
      "deflection": 0.012991896290928166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.247)"
      },
      "parent_node_id": "node_2109",
      "improvement_over_parent": null
    },
    "node_2111": {
      "node_id": "node_2111",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 201.39 kg\n  Factor of Safety: 1.26\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": 201.39260679354726,
      "fos_buckling": 1.2560577968156699,
      "fos_yielding": 4.828310377758075,
      "deflection": 0.01183886403272182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2110",
      "improvement_over_parent": null
    },
    "node_2112": {
      "node_id": "node_2112",
      "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71238343163688,
      "fos_buckling": 1.530488532494501,
      "fos_yielding": 4.836803894919463,
      "deflection": 0.011225521271012947,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.397)"
      },
      "parent_node_id": "node_2111",
      "improvement_over_parent": null
    },
    "node_2113": {
      "node_id": "node_2113",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2112",
      "improvement_over_parent": null
    },
    "node_2114": {
      "node_id": "node_2114",
      "content": "INITIAL DESIGN (Trace 300)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 114.63 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.62965188240966,
      "fos_buckling": 0.6831515100861077,
      "fos_yielding": 2.8017294750706125,
      "deflection": 0.018512189792278682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2115": {
      "node_id": "node_2115",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 141.38 kg\n  Factor of Safety: 0.83\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": 141.3757165823177,
      "fos_buckling": 0.834873401418713,
      "fos_yielding": 3.451980887076229,
      "deflection": 0.015082047239685112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2114",
      "improvement_over_parent": null
    },
    "node_2116": {
      "node_id": "node_2116",
      "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 142.89 kg\n  Factor of Safety: 0.89\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": 142.88736568374162,
      "fos_buckling": 0.8855496309832304,
      "fos_yielding": 3.4509227661165145,
      "deflection": 0.015190040410569608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.348)"
      },
      "parent_node_id": "node_2115",
      "improvement_over_parent": null
    },
    "node_2117": {
      "node_id": "node_2117",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 176.95 kg\n  Factor of Safety: 1.08\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": 176.95009126053762,
      "fos_buckling": 1.0827451605976939,
      "fos_yielding": 4.26870345962678,
      "deflection": 0.012335468611329798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2116",
      "improvement_over_parent": null
    },
    "node_2118": {
      "node_id": "node_2118",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 177.04 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.03923828165378,
      "fos_buckling": 1.0827559710557422,
      "fos_yielding": 4.268691147521895,
      "deflection": 0.012335730872779293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.178)"
      },
      "parent_node_id": "node_2117",
      "improvement_over_parent": null
    },
    "node_2119": {
      "node_id": "node_2119",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.76 kg\n  Factor of Safety: 1.22\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": 200.75788012802485,
      "fos_buckling": 1.2166781600746055,
      "fos_yielding": 4.836718712938903,
      "deflection": 0.010922141588084758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2118",
      "improvement_over_parent": null
    },
    "node_2120": {
      "node_id": "node_2120",
      "content": "MODIFICATION: Increase 17 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77789614046594,
      "fos_buckling": 1.530904787801184,
      "fos_yielding": 4.838780606028643,
      "deflection": 0.011221967624169623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.595)"
      },
      "parent_node_id": "node_2119",
      "improvement_over_parent": null
    },
    "node_2121": {
      "node_id": "node_2121",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2120",
      "improvement_over_parent": null
    },
    "node_2122": {
      "node_id": "node_2122",
      "content": "INITIAL DESIGN (Trace 301)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 123.45 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.44929529289958,
      "fos_buckling": 0.24362491063759503,
      "fos_yielding": 1.471082351726617,
      "deflection": 0.04271589168758251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2123": {
      "node_id": "node_2123",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 157.37 kg\n  Factor of Safety: 0.30\n  Max Deflection: 3.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.36837230616584,
      "fos_buckling": 0.299124025440969,
      "fos_yielding": 1.8644170138703375,
      "deflection": 0.03369376951457343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2122",
      "improvement_over_parent": null
    },
    "node_2124": {
      "node_id": "node_2124",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n  Mass: 168.12 kg\n  Factor of Safety: 0.97\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": 168.11726695600447,
      "fos_buckling": 0.9674043437182791,
      "fos_yielding": 4.166908471663646,
      "deflection": 0.01432884927292927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005492)"
      },
      "parent_node_id": "node_2123",
      "improvement_over_parent": null
    },
    "node_2125": {
      "node_id": "node_2125",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n  Mass: 176.26 kg\n  Factor of Safety: 1.35\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": 176.26322088472125,
      "fos_buckling": 1.353696793997602,
      "fos_yielding": 4.1682079193675765,
      "deflection": 0.012984602253271117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004781)"
      },
      "parent_node_id": "node_2124",
      "improvement_over_parent": null
    },
    "node_2126": {
      "node_id": "node_2126",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8224816537988,
      "fos_buckling": 1.5311229643790158,
      "fos_yielding": 4.839858515113217,
      "deflection": 0.011220681401577583,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2125",
      "improvement_over_parent": null
    },
    "node_2127": {
      "node_id": "node_2127",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2126",
      "improvement_over_parent": null
    },
    "node_2128": {
      "node_id": "node_2128",
      "content": "INITIAL DESIGN (Trace 302)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 122.70 kg\n  Factor of Safety: 0.17\n  Max Deflection: 6.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.7023700176137,
      "fos_buckling": 0.16677799306892663,
      "fos_yielding": 1.5076090806646263,
      "deflection": 0.06224808439190327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2129": {
      "node_id": "node_2129",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 147.97 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.18e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.96632568541858,
      "fos_buckling": 0.19524848808933423,
      "fos_yielding": 1.8100344987495598,
      "deflection": 0.05184779224532932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2128",
      "improvement_over_parent": null
    },
    "node_2130": {
      "node_id": "node_2130",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.20 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.35e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.20259139540474,
      "fos_buckling": 0.22578027674468681,
      "fos_yielding": 2.1567115001469785,
      "deflection": 0.043513879077407475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2129",
      "improvement_over_parent": null
    },
    "node_2131": {
      "node_id": "node_2131",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 189.69 kg\n  Factor of Safety: 1.09\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": 189.6903984724215,
      "fos_buckling": 1.0939037149696558,
      "fos_yielding": 4.753306034623935,
      "deflection": 0.01247286016119785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2130",
      "improvement_over_parent": null
    },
    "node_2132": {
      "node_id": "node_2132",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 201.43 kg\n  Factor of Safety: 1.32\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": 201.43095968466443,
      "fos_buckling": 1.3209512497949694,
      "fos_yielding": 4.759416631569548,
      "deflection": 0.011251060278695092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005259)"
      },
      "parent_node_id": "node_2131",
      "improvement_over_parent": null
    },
    "node_2133": {
      "node_id": "node_2133",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 202.56 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.55760750495105,
      "fos_buckling": 1.5005704509434135,
      "fos_yielding": 4.836800612021416,
      "deflection": 0.011283295132227145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_2132",
      "improvement_over_parent": null
    },
    "node_2134": {
      "node_id": "node_2134",
      "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69555555928684,
      "fos_buckling": 1.5303221812542116,
      "fos_yielding": 4.836813930898086,
      "deflection": 0.01122691108626593,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.200)"
      },
      "parent_node_id": "node_2133",
      "improvement_over_parent": null
    },
    "node_2135": {
      "node_id": "node_2135",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2134",
      "improvement_over_parent": null
    },
    "node_2136": {
      "node_id": "node_2136",
      "content": "INITIAL DESIGN (Trace 303)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 153.72 kg\n  Factor of Safety: 0.84\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": 153.71526307152288,
      "fos_buckling": 0.8445724068985632,
      "fos_yielding": 4.15935701766334,
      "deflection": 0.013985827778658115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2137": {
      "node_id": "node_2137",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.68 kg\n  Factor of Safety: 1.01\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": 190.6779844456036,
      "fos_buckling": 1.0148078142513628,
      "fos_yielding": 5.158413699675046,
      "deflection": 0.01134403447037164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2136",
      "improvement_over_parent": null
    },
    "node_2138": {
      "node_id": "node_2138",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 199.29 kg\n  Factor of Safety: 1.15\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": 199.2884734786775,
      "fos_buckling": 1.1529575270041448,
      "fos_yielding": 5.158413699675048,
      "deflection": 0.011874367158454958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2137",
      "improvement_over_parent": null
    },
    "node_2139": {
      "node_id": "node_2139",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.596518955672,
      "fos_buckling": 1.5297211723787543,
      "fos_yielding": 4.83413118528889,
      "deflection": 0.01123272936308773,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2138",
      "improvement_over_parent": null
    },
    "node_2140": {
      "node_id": "node_2140",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2139",
      "improvement_over_parent": null
    },
    "node_2141": {
      "node_id": "node_2141",
      "content": "INITIAL DESIGN (Trace 304)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 101.90 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.34e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.90498427633271,
      "fos_buckling": 0.628157565714091,
      "fos_yielding": 2.0751106065210196,
      "deflection": 0.023406045858804073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2142": {
      "node_id": "node_2142",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 120.27 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.26553707760107,
      "fos_buckling": 0.7284940721725682,
      "fos_yielding": 2.4516776389208617,
      "deflection": 0.019886284262944823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2141",
      "improvement_over_parent": null
    },
    "node_2143": {
      "node_id": "node_2143",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 120.95 kg\n  Factor of Safety: 0.73\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": 120.94574274988415,
      "fos_buckling": 0.7284940721725677,
      "fos_yielding": 3.001782806999603,
      "deflection": 0.01977967716068913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.245)"
      },
      "parent_node_id": "node_2142",
      "improvement_over_parent": null
    },
    "node_2144": {
      "node_id": "node_2144",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 143.17 kg\n  Factor of Safety: 0.84\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": 143.1651437219387,
      "fos_buckling": 0.8441414969214828,
      "fos_yielding": 3.5510538759457857,
      "deflection": 0.01676440019930979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2143",
      "improvement_over_parent": null
    },
    "node_2145": {
      "node_id": "node_2145",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 166.49 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.48547138160708,
      "fos_buckling": 0.9595345326435866,
      "fos_yielding": 4.126809716479702,
      "deflection": 0.014465374861801059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2144",
      "improvement_over_parent": null
    },
    "node_2146": {
      "node_id": "node_2146",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.13 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.13321971591358,
      "fos_buckling": 1.092952824161989,
      "fos_yielding": 4.833072239059412,
      "deflection": 0.012393298834563419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2145",
      "improvement_over_parent": null
    },
    "node_2147": {
      "node_id": "node_2147",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5975342779684,
      "fos_buckling": 1.5298197222451677,
      "fos_yielding": 4.834538107252772,
      "deflection": 0.011232443990553181,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2146",
      "improvement_over_parent": null
    },
    "node_2148": {
      "node_id": "node_2148",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2147",
      "improvement_over_parent": null
    },
    "node_2149": {
      "node_id": "node_2149",
      "content": "INITIAL DESIGN (Trace 305)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 160.31 kg\n  Factor of Safety: 0.95\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": 160.30624705212227,
      "fos_buckling": 0.9455360175384425,
      "fos_yielding": 3.4113195697557908,
      "deflection": 0.015304065671061014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2150": {
      "node_id": "node_2150",
      "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 161.36 kg\n  Factor of Safety: 0.95\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": 161.3622057709449,
      "fos_buckling": 0.9470464066101104,
      "fos_yielding": 3.925393126029483,
      "deflection": 0.015197666521169039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.362)"
      },
      "parent_node_id": "node_2149",
      "improvement_over_parent": null
    },
    "node_2151": {
      "node_id": "node_2151",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 165.79 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.79371137582933,
      "fos_buckling": 1.2856982610730319,
      "fos_yielding": 3.921603903750394,
      "deflection": 0.01378286841326565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.605)"
      },
      "parent_node_id": "node_2150",
      "improvement_over_parent": null
    },
    "node_2152": {
      "node_id": "node_2152",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74996229205848,
      "fos_buckling": 1.5306130867411392,
      "fos_yielding": 4.838001758811311,
      "deflection": 0.011224068168170094,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2151",
      "improvement_over_parent": null
    },
    "node_2153": {
      "node_id": "node_2153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 306)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.51 kg\n  Factor of Safety: 0.84\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": 194.51286612054326,
      "fos_buckling": 0.8419043057461603,
      "fos_yielding": 4.826179323218089,
      "deflection": 0.013363726260273774,
      "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: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.96 kg\n  Factor of Safety: 0.84\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": 195.9611508559857,
      "fos_buckling": 0.8415973735054332,
      "fos_yielding": 4.826920252203271,
      "deflection": 0.013315766592684457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.224)"
      },
      "parent_node_id": "node_2154",
      "improvement_over_parent": null
    },
    "node_2156": {
      "node_id": "node_2156",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.50 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.5023642082855,
      "fos_buckling": 0.8419366383882253,
      "fos_yielding": 4.826101317481332,
      "deflection": 0.013296201068155704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.271)"
      },
      "parent_node_id": "node_2155",
      "improvement_over_parent": null
    },
    "node_2157": {
      "node_id": "node_2157",
      "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 0.90\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": 201.58722665229422,
      "fos_buckling": 0.8987652554813126,
      "fos_yielding": 4.853113566043189,
      "deflection": 0.012403542149052739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.443)"
      },
      "parent_node_id": "node_2156",
      "improvement_over_parent": null
    },
    "node_2158": {
      "node_id": "node_2158",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70260455201463,
      "fos_buckling": 1.530460508828547,
      "fos_yielding": 4.836751010962826,
      "deflection": 0.011226847095870065,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2157",
      "improvement_over_parent": null
    },
    "node_2159": {
      "node_id": "node_2159",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2158",
      "improvement_over_parent": null
    },
    "node_2160": {
      "node_id": "node_2160",
      "content": "INITIAL DESIGN (Trace 307)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 165.46 kg\n  Factor of Safety: 0.41\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": 165.45515223966694,
      "fos_buckling": 0.4103928882228087,
      "fos_yielding": 3.6986157266794923,
      "deflection": 0.01663940878562302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2161": {
      "node_id": "node_2161",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 167.40 kg\n  Factor of Safety: 0.41\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": 167.40049897184846,
      "fos_buckling": 0.41006172202977187,
      "fos_yielding": 3.698025977479909,
      "deflection": 0.016316822779235997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.229)"
      },
      "parent_node_id": "node_2160",
      "improvement_over_parent": null
    },
    "node_2162": {
      "node_id": "node_2162",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 178.60 kg\n  Factor of Safety: 1.29\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": 178.59990791864502,
      "fos_buckling": 1.2858985079719116,
      "fos_yielding": 4.195967570775252,
      "deflection": 0.012862141878078387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005303)"
      },
      "parent_node_id": "node_2161",
      "improvement_over_parent": null
    },
    "node_2163": {
      "node_id": "node_2163",
      "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 179.35 kg\n  Factor of Safety: 1.34\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": 179.3464789947224,
      "fos_buckling": 1.3353987801496163,
      "fos_yielding": 4.310250619639123,
      "deflection": 0.012808123242039924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.209)"
      },
      "parent_node_id": "node_2162",
      "improvement_over_parent": null
    },
    "node_2164": {
      "node_id": "node_2164",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 179.52 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.52187418399163,
      "fos_buckling": 1.3220438507738659,
      "fos_yielding": 4.315044928787278,
      "deflection": 0.012808928468525053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.229)"
      },
      "parent_node_id": "node_2163",
      "improvement_over_parent": null
    },
    "node_2165": {
      "node_id": "node_2165",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 200.95 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.9529871669009,
      "fos_buckling": 1.4506221590741815,
      "fos_yielding": 4.82680031683072,
      "deflection": 0.011476930111783386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2164",
      "improvement_over_parent": null
    },
    "node_2166": {
      "node_id": "node_2166",
      "content": "MODIFICATION: Increase 16 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 206.38 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.3786951657187,
      "fos_buckling": 1.4812739073564982,
      "fos_yielding": 4.827804510952384,
      "deflection": 0.011701082897699009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.553)"
      },
      "parent_node_id": "node_2165",
      "improvement_over_parent": null
    },
    "node_2167": {
      "node_id": "node_2167",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 308)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.31 kg\n  Factor of Safety: 0.93\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": 184.30541399239078,
      "fos_buckling": 0.9256318725603596,
      "fos_yielding": 4.8115370529309,
      "deflection": 0.014087743559877594,
      "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 5 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 187.81 kg\n  Factor of Safety: 1.09\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": 187.8067550624043,
      "fos_buckling": 1.0941089166579934,
      "fos_yielding": 4.828081773800978,
      "deflection": 0.012916207611509769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.626)"
      },
      "parent_node_id": "node_2168",
      "improvement_over_parent": null
    },
    "node_2170": {
      "node_id": "node_2170",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.69 kg\n  Factor of Safety: 1.29\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": 201.6916619380259,
      "fos_buckling": 1.286294369916152,
      "fos_yielding": 4.829309009000937,
      "deflection": 0.011767556892327792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2169",
      "improvement_over_parent": null
    },
    "node_2171": {
      "node_id": "node_2171",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7141349090642,
      "fos_buckling": 1.5303994792968327,
      "fos_yielding": 4.836813778172566,
      "deflection": 0.011224949566712562,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.350)"
      },
      "parent_node_id": "node_2170",
      "improvement_over_parent": null
    },
    "node_2172": {
      "node_id": "node_2172",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2171",
      "improvement_over_parent": null
    },
    "node_2173": {
      "node_id": "node_2173",
      "content": "INITIAL DESIGN (Trace 309)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n  Mass: 135.94 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.94448244934796,
      "fos_buckling": 0.3757169154716021,
      "fos_yielding": 2.7429933627484226,
      "deflection": 0.02490361824813946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2174": {
      "node_id": "node_2174",
      "content": "MODIFICATION: Increase 14 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n  Mass: 137.36 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.35665673353571,
      "fos_buckling": 0.37549597587110395,
      "fos_yielding": 2.74281631389468,
      "deflection": 0.024857302231240205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.244)"
      },
      "parent_node_id": "node_2173",
      "improvement_over_parent": null
    },
    "node_2175": {
      "node_id": "node_2175",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 147.41 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.40997346178457,
      "fos_buckling": 0.40629818065882195,
      "fos_yielding": 2.7423962664148864,
      "deflection": 0.022959659017642443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004719)"
      },
      "parent_node_id": "node_2174",
      "improvement_over_parent": null
    },
    "node_2176": {
      "node_id": "node_2176",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n  Mass: 165.59 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.59178277355335,
      "fos_buckling": 0.4478482485535386,
      "fos_yielding": 3.0775154913502165,
      "deflection": 0.0204740425962543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2175",
      "improvement_over_parent": null
    },
    "node_2177": {
      "node_id": "node_2177",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 183.82 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8249116567627,
      "fos_buckling": 0.4876570695385829,
      "fos_yielding": 3.4128968305063965,
      "deflection": 0.018475190261540143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2176",
      "improvement_over_parent": null
    },
    "node_2178": {
      "node_id": "node_2178",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67312314574122,
      "fos_buckling": 1.5304111978782158,
      "fos_yielding": 4.836047102374836,
      "deflection": 0.011228312325313652,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_2177",
      "improvement_over_parent": null
    },
    "node_2179": {
      "node_id": "node_2179",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2178",
      "improvement_over_parent": null
    },
    "node_2180": {
      "node_id": "node_2180",
      "content": "INITIAL DESIGN (Trace 310)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.90 kg\n  Factor of Safety: 1.00\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": 165.89776003338952,
      "fos_buckling": 0.9961817768289818,
      "fos_yielding": 4.295010063820282,
      "deflection": 0.014189610607292538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2181": {
      "node_id": "node_2181",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n  Mass: 169.33 kg\n  Factor of Safety: 1.24\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": 169.33377213479744,
      "fos_buckling": 1.2358368534905537,
      "fos_yielding": 4.04386548184957,
      "deflection": 0.013472592692472252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002640)"
      },
      "parent_node_id": "node_2180",
      "improvement_over_parent": null
    },
    "node_2182": {
      "node_id": "node_2182",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 203.43 kg\n  Factor of Safety: 1.44\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": 203.42852705978663,
      "fos_buckling": 1.4395428837309254,
      "fos_yielding": 4.853164381389329,
      "deflection": 0.0112710250265725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2181",
      "improvement_over_parent": null
    },
    "node_2183": {
      "node_id": "node_2183",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0084)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 206.81 kg\n  Factor of Safety: 1.46\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": 206.8052194174391,
      "fos_buckling": 1.4644073115381464,
      "fos_yielding": 4.85801905726002,
      "deflection": 0.010888613220179534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.307)"
      },
      "parent_node_id": "node_2182",
      "improvement_over_parent": null
    },
    "node_2184": {
      "node_id": "node_2184",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2183",
      "improvement_over_parent": null
    },
    "node_2185": {
      "node_id": "node_2185",
      "content": "INITIAL DESIGN (Trace 311)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 135.65 kg\n  Factor of Safety: 0.04\n  Max Deflection: 1.26e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.65027508054226,
      "fos_buckling": 0.04093419463354404,
      "fos_yielding": 0.49304220637717894,
      "deflection": 126355259521299.92,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2186": {
      "node_id": "node_2186",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n  Mass: 145.55 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.57e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.5503660278306,
      "fos_buckling": 1.0304640505991431,
      "fos_yielding": 4.187026812046586,
      "deflection": 8565841897792.415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004898)"
      },
      "parent_node_id": "node_2185",
      "improvement_over_parent": null
    },
    "node_2187": {
      "node_id": "node_2187",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 153.79 kg\n  Factor of Safety: 0.19\n  Max Deflection: 3.71e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.79335449691428,
      "fos_buckling": 0.18742160117594256,
      "fos_yielding": 0.9860844127543579,
      "deflection": 37136797630767.06,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004469)"
      },
      "parent_node_id": "node_2186",
      "improvement_over_parent": null
    },
    "node_2188": {
      "node_id": "node_2188",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 177.63 kg\n  Factor of Safety: 0.12\n  Max Deflection: 4.02e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.62922703009912,
      "fos_buckling": 0.12429244007369693,
      "fos_yielding": 0.9860844127543579,
      "deflection": 40176487693704.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2187",
      "improvement_over_parent": null
    },
    "node_2189": {
      "node_id": "node_2189",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 186.24 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.239716063173,
      "fos_buckling": 0.2764107557011572,
      "fos_yielding": 1.3910960022442709,
      "deflection": 0.033923441887756194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2188",
      "improvement_over_parent": null
    },
    "node_2190": {
      "node_id": "node_2190",
      "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0070)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 189.15 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.39e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.14608963877345,
      "fos_buckling": 0.27620927002879103,
      "fos_yielding": 1.3962449504032002,
      "deflection": 0.03393508696059992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.348)"
      },
      "parent_node_id": "node_2189",
      "improvement_over_parent": null
    },
    "node_2191": {
      "node_id": "node_2191",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0070)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.33 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.33064365367485,
      "fos_buckling": 1.4809074941454552,
      "fos_yielding": 4.833873594944731,
      "deflection": 0.011279037098669899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2190",
      "improvement_over_parent": null
    },
    "node_2192": {
      "node_id": "node_2192",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2191",
      "improvement_over_parent": null
    },
    "node_2193": {
      "node_id": "node_2193",
      "content": "INITIAL DESIGN (Trace 312)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 128.25 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.24725151438656,
      "fos_buckling": 0.26353228401723455,
      "fos_yielding": 1.9012196013241682,
      "deflection": 0.036148168517382666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2194": {
      "node_id": "node_2194",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 130.84 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.84345879456808,
      "fos_buckling": 0.2634745139798307,
      "fos_yielding": 1.900810388978907,
      "deflection": 0.03581354246973422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.351)"
      },
      "parent_node_id": "node_2193",
      "improvement_over_parent": null
    },
    "node_2195": {
      "node_id": "node_2195",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n  Mass: 139.28 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.80e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.28208105122613,
      "fos_buckling": 0.2629125175914646,
      "fos_yielding": 1.5518595553576187,
      "deflection": 0.03797828826190912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004125)"
      },
      "parent_node_id": "node_2194",
      "improvement_over_parent": null
    },
    "node_2196": {
      "node_id": "node_2196",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n\nPerformance:\n  Mass: 148.50 kg\n  Factor of Safety: 0.98\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": 148.5040971803671,
      "fos_buckling": 0.9791384516107566,
      "fos_yielding": 3.577128807649693,
      "deflection": 0.015274818449227187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004658)"
      },
      "parent_node_id": "node_2195",
      "improvement_over_parent": null
    },
    "node_2197": {
      "node_id": "node_2197",
      "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0068)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n\nPerformance:\n  Mass: 151.03 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.03492305813072,
      "fos_buckling": 0.9793142981875589,
      "fos_yielding": 4.232080981471883,
      "deflection": 0.015130021451901942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.658)"
      },
      "parent_node_id": "node_2196",
      "improvement_over_parent": null
    },
    "node_2198": {
      "node_id": "node_2198",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0080)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n  Mass: 175.44 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.44096120106806,
      "fos_buckling": 1.1240196917283791,
      "fos_yielding": 4.910915849968507,
      "deflection": 0.013068597286698645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2197",
      "improvement_over_parent": null
    },
    "node_2199": {
      "node_id": "node_2199",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0094)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.29 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.28928367421997,
      "fos_buckling": 1.2902027593323784,
      "fos_yielding": 5.711478312043915,
      "deflection": 0.01126702713582285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2198",
      "improvement_over_parent": null
    },
    "node_2200": {
      "node_id": "node_2200",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 313)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 140.19 kg\n  Factor of Safety: 0.87\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": 140.18613458300362,
      "fos_buckling": 0.8657800180170153,
      "fos_yielding": 3.6298696079999972,
      "deflection": 0.016724372603589815,
      "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n  Mass: 143.38 kg\n  Factor of Safety: 1.14\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": 143.37880729621955,
      "fos_buckling": 1.1373913398620394,
      "fos_yielding": 3.4141847931715956,
      "deflection": 0.015860514792040557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002443)"
      },
      "parent_node_id": "node_2201",
      "improvement_over_parent": null
    },
    "node_2203": {
      "node_id": "node_2203",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n  Mass: 166.04 kg\n  Factor of Safety: 1.29\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": 166.03717018154413,
      "fos_buckling": 1.2879659457934836,
      "fos_yielding": 3.951165370016797,
      "deflection": 0.01374196987212551,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2202",
      "improvement_over_parent": null
    },
    "node_2204": {
      "node_id": "node_2204",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0061)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n  Mass: 167.70 kg\n  Factor of Safety: 1.29\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": 167.7038631189435,
      "fos_buckling": 1.2916293119016187,
      "fos_yielding": 3.9538703082686406,
      "deflection": 0.0134348182375814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.179)"
      },
      "parent_node_id": "node_2203",
      "improvement_over_parent": null
    },
    "node_2205": {
      "node_id": "node_2205",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0076)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n  Mass: 206.15 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.10e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.1497076493908,
      "fos_buckling": 1.5318029008007632,
      "fos_yielding": 4.856062293449034,
      "deflection": 0.010994014172108003,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2204",
      "improvement_over_parent": null
    },
    "node_2206": {
      "node_id": "node_2206",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2205",
      "improvement_over_parent": null
    },
    "node_2207": {
      "node_id": "node_2207",
      "content": "INITIAL DESIGN (Trace 314)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 137.43 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.43171653114487,
      "fos_buckling": 0.8148356057238196,
      "fos_yielding": 3.4091665191440566,
      "deflection": 0.017449112742950926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2208": {
      "node_id": "node_2208",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n  Mass: 144.09 kg\n  Factor of Safety: 1.14\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": 144.09355609701458,
      "fos_buckling": 1.139996894456005,
      "fos_yielding": 3.4102630981380058,
      "deflection": 0.01580839834481414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003853)"
      },
      "parent_node_id": "node_2207",
      "improvement_over_parent": null
    },
    "node_2209": {
      "node_id": "node_2209",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n  Mass: 182.62 kg\n  Factor of Safety: 1.39\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": 182.62092289088332,
      "fos_buckling": 1.3941942048352909,
      "fos_yielding": 4.31762801275884,
      "deflection": 0.012543793580107572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2208",
      "improvement_over_parent": null
    },
    "node_2210": {
      "node_id": "node_2210",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72446516284398,
      "fos_buckling": 1.5305380004622322,
      "fos_yielding": 4.837347162413991,
      "deflection": 0.01122554298591891,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2209",
      "improvement_over_parent": null
    },
    "node_2211": {
      "node_id": "node_2211",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2210",
      "improvement_over_parent": null
    },
    "node_2212": {
      "node_id": "node_2212",
      "content": "INITIAL DESIGN (Trace 315)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 165.22 kg\n  Factor of Safety: 0.90\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": 165.22139147744,
      "fos_buckling": 0.8988269931936862,
      "fos_yielding": 4.222689162171694,
      "deflection": 0.014439487544666363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2213": {
      "node_id": "node_2213",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.96 kg\n  Factor of Safety: 1.02\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": 190.96199060450036,
      "fos_buckling": 1.0159779194593028,
      "fos_yielding": 4.876489253523102,
      "deflection": 0.012522383658571801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2212",
      "improvement_over_parent": null
    },
    "node_2214": {
      "node_id": "node_2214",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 194.08 kg\n  Factor of Safety: 1.02\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": 194.07736850422077,
      "fos_buckling": 1.0154254894533623,
      "fos_yielding": 4.876293119876271,
      "deflection": 0.010852885210846179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2213",
      "improvement_over_parent": null
    },
    "node_2215": {
      "node_id": "node_2215",
      "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0072)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 197.21 kg\n  Factor of Safety: 1.02\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": 197.20735419037197,
      "fos_buckling": 1.0162582496331327,
      "fos_yielding": 4.872720745527581,
      "deflection": 0.01083365294296237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.376)"
      },
      "parent_node_id": "node_2214",
      "improvement_over_parent": null
    },
    "node_2216": {
      "node_id": "node_2216",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0072)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 205.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.81784322344586,
      "fos_buckling": 1.5287953310973308,
      "fos_yielding": 4.860168963653385,
      "deflection": 0.011245179912854212,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2215",
      "improvement_over_parent": null
    },
    "node_2217": {
      "node_id": "node_2217",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 316)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 143.14 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.1431272181435,
      "fos_buckling": 0.27496315460784004,
      "fos_yielding": 1.4656832965379583,
      "deflection": 0.08576394634163206,
      "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 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 146.26 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.26087241927382,
      "fos_buckling": 0.2748909794527384,
      "fos_yielding": 1.4653282515091646,
      "deflection": 0.08252661865917894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.255)"
      },
      "parent_node_id": "node_2218",
      "improvement_over_parent": null
    },
    "node_2220": {
      "node_id": "node_2220",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 148.68 kg\n  Factor of Safety: 0.27\n  Max Deflection: 5.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.68455509780838,
      "fos_buckling": 0.2747788391707409,
      "fos_yielding": 1.464776580933402,
      "deflection": 0.05456469141883975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)"
      },
      "parent_node_id": "node_2219",
      "improvement_over_parent": null
    },
    "node_2221": {
      "node_id": "node_2221",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 158.40 kg\n  Factor of Safety: 1.24\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": 158.4013391159208,
      "fos_buckling": 1.2413690942051498,
      "fos_yielding": 3.764440112244921,
      "deflection": 0.014463913847277625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)"
      },
      "parent_node_id": "node_2220",
      "improvement_over_parent": null
    },
    "node_2222": {
      "node_id": "node_2222",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 203.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.43482706361507,
      "fos_buckling": 1.5279234011254395,
      "fos_yielding": 4.828813982235816,
      "deflection": 0.011335514488999962,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2221",
      "improvement_over_parent": null
    },
    "node_2223": {
      "node_id": "node_2223",
      "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 206.03 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.0343124066781,
      "fos_buckling": 1.5380915510904904,
      "fos_yielding": 4.8292898166724525,
      "deflection": 0.011255422045182564,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.587)"
      },
      "parent_node_id": "node_2222",
      "improvement_over_parent": null
    },
    "node_2224": {
      "node_id": "node_2224",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 206.75 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.75044423315177,
      "fos_buckling": 1.548341297447328,
      "fos_yielding": 4.824017446283209,
      "deflection": 0.011142903046768023,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2223",
      "improvement_over_parent": null
    },
    "node_2225": {
      "node_id": "node_2225",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2224",
      "improvement_over_parent": null
    },
    "node_2226": {
      "node_id": "node_2226",
      "content": "INITIAL DESIGN (Trace 317)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 123.60 kg\n  Factor of Safety: 0.74\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": 123.60202938712783,
      "fos_buckling": 0.7426609838559207,
      "fos_yielding": 3.381457781825053,
      "deflection": 0.017931710885893914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2227": {
      "node_id": "node_2227",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 155.62 kg\n  Factor of Safety: 0.91\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": 155.62354402450362,
      "fos_buckling": 0.908281089279558,
      "fos_yielding": 4.251988238516413,
      "deflection": 0.014294335200140049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2226",
      "improvement_over_parent": null
    },
    "node_2228": {
      "node_id": "node_2228",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n  Mass: 167.78 kg\n  Factor of Safety: 0.91\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": 167.78013696081763,
      "fos_buckling": 0.9073192843690631,
      "fos_yielding": 4.251626124738481,
      "deflection": 0.012480735221714119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005461)"
      },
      "parent_node_id": "node_2227",
      "improvement_over_parent": null
    },
    "node_2229": {
      "node_id": "node_2229",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n  Mass: 169.66 kg\n  Factor of Safety: 0.91\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": 169.66184182557063,
      "fos_buckling": 0.9071705897293083,
      "fos_yielding": 4.251570079080783,
      "deflection": 0.01236136429385497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.318)"
      },
      "parent_node_id": "node_2228",
      "improvement_over_parent": null
    },
    "node_2230": {
      "node_id": "node_2230",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 177.20 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.20005514062606,
      "fos_buckling": 1.2672926019905026,
      "fos_yielding": 4.2414369913498575,
      "deflection": 0.01283355705096271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004300)"
      },
      "parent_node_id": "node_2229",
      "improvement_over_parent": null
    },
    "node_2231": {
      "node_id": "node_2231",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 202.39 kg\n  Factor of Safety: 1.42\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": 202.3853861803602,
      "fos_buckling": 1.423049953631096,
      "fos_yielding": 4.840401857441329,
      "deflection": 0.011278210334217734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_2230",
      "improvement_over_parent": null
    },
    "node_2232": {
      "node_id": "node_2232",
      "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64616046053027,
      "fos_buckling": 1.5300930540618711,
      "fos_yielding": 4.835294490715293,
      "deflection": 0.01122998426485239,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.342)"
      },
      "parent_node_id": "node_2231",
      "improvement_over_parent": null
    },
    "node_2233": {
      "node_id": "node_2233",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2232",
      "improvement_over_parent": null
    },
    "node_2234": {
      "node_id": "node_2234",
      "content": "INITIAL DESIGN (Trace 318)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 134.46 kg\n  Factor of Safety: 0.82\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": 134.46192918524204,
      "fos_buckling": 0.8221124778341121,
      "fos_yielding": 3.329218156019163,
      "deflection": 0.01844893413922584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2235": {
      "node_id": "node_2235",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 135.68 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.67977684942602,
      "fos_buckling": 0.8201338165471431,
      "fos_yielding": 3.349356024547566,
      "deflection": 0.018288315445677095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.276)"
      },
      "parent_node_id": "node_2234",
      "improvement_over_parent": null
    },
    "node_2236": {
      "node_id": "node_2236",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 162.44 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.4416759242194,
      "fos_buckling": 0.9657860941016922,
      "fos_yielding": 4.005623471974412,
      "deflection": 0.015316363908332865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2235",
      "improvement_over_parent": null
    },
    "node_2237": {
      "node_id": "node_2237",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 166.05 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.05171107017054,
      "fos_buckling": 1.0187633171716268,
      "fos_yielding": 3.9941397368991365,
      "deflection": 0.014416409298442226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.623)"
      },
      "parent_node_id": "node_2236",
      "improvement_over_parent": null
    },
    "node_2238": {
      "node_id": "node_2238",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.21\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": 200.87977743190493,
      "fos_buckling": 1.2052796092383347,
      "fos_yielding": 4.826330490446023,
      "deflection": 0.011967304965799603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2237",
      "improvement_over_parent": null
    },
    "node_2239": {
      "node_id": "node_2239",
      "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6840257838645,
      "fos_buckling": 1.5303499935566542,
      "fos_yielding": 4.8365822334383894,
      "deflection": 0.01122842010942528,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.481)"
      },
      "parent_node_id": "node_2238",
      "improvement_over_parent": null
    },
    "node_2240": {
      "node_id": "node_2240",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2239",
      "improvement_over_parent": null
    },
    "node_2241": {
      "node_id": "node_2241",
      "content": "INITIAL DESIGN (Trace 319)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n  Mass: 98.52 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.52068638471627,
      "fos_buckling": 0.3105265135328097,
      "fos_yielding": 2.0176324119386355,
      "deflection": 0.03189541828185791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2242": {
      "node_id": "node_2242",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n\nPerformance:\n  Mass: 103.10 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 103.09810296732614,
      "fos_buckling": 0.3104860548210068,
      "fos_yielding": 2.017491360324788,
      "deflection": 0.031377296194114376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002675)"
      },
      "parent_node_id": "node_2241",
      "improvement_over_parent": null
    },
    "node_2243": {
      "node_id": "node_2243",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 115.36 kg\n  Factor of Safety: 0.64\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": 115.3633906639413,
      "fos_buckling": 0.6384537779209447,
      "fos_yielding": 2.859354978072939,
      "deflection": 0.018250282434278106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004379)"
      },
      "parent_node_id": "node_2242",
      "improvement_over_parent": null
    },
    "node_2244": {
      "node_id": "node_2244",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 138.35 kg\n  Factor of Safety: 0.75\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": 138.35314202391055,
      "fos_buckling": 0.7517797502498262,
      "fos_yielding": 3.427020440308349,
      "deflection": 0.0152525468087633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2243",
      "improvement_over_parent": null
    },
    "node_2245": {
      "node_id": "node_2245",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 175.84 kg\n  Factor of Safety: 0.93\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": 175.83769561579308,
      "fos_buckling": 0.926528254958448,
      "fos_yielding": 4.351068083454136,
      "deflection": 0.012045779695819056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2244",
      "improvement_over_parent": null
    },
    "node_2246": {
      "node_id": "node_2246",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.16 kg\n  Factor of Safety: 1.02\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": 196.15870296072546,
      "fos_buckling": 1.0160373301288144,
      "fos_yielding": 4.851221314474999,
      "deflection": 0.010819634929380019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2245",
      "improvement_over_parent": null
    },
    "node_2247": {
      "node_id": "node_2247",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76919199379935,
      "fos_buckling": 1.5308805287671297,
      "fos_yielding": 4.838505696671202,
      "deflection": 0.011222870471387217,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2246",
      "improvement_over_parent": null
    },
    "node_2248": {
      "node_id": "node_2248",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2247",
      "improvement_over_parent": null
    },
    "node_2249": {
      "node_id": "node_2249",
      "content": "INITIAL DESIGN (Trace 320)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 178.46 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.45525083899457,
      "fos_buckling": 0.2766134903482267,
      "fos_yielding": 1.3933461264143294,
      "deflection": 0.035861719330320334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2250": {
      "node_id": "node_2250",
      "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 180.06 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.0556297255349,
      "fos_buckling": 0.27657643457257,
      "fos_yielding": 1.3913334572779015,
      "deflection": 0.035829491070126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.473)"
      },
      "parent_node_id": "node_2249",
      "improvement_over_parent": null
    },
    "node_2251": {
      "node_id": "node_2251",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 189.52 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.51994428758974,
      "fos_buckling": 0.2763574970721095,
      "fos_yielding": 1.3902148638281058,
      "deflection": 0.03376864759630194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2250",
      "improvement_over_parent": null
    },
    "node_2252": {
      "node_id": "node_2252",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70449830249115,
      "fos_buckling": 1.530402157672427,
      "fos_yielding": 4.836732646722823,
      "deflection": 0.011226791415950323,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2251",
      "improvement_over_parent": null
    },
    "node_2253": {
      "node_id": "node_2253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 321)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 148.66 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.66218525719117,
      "fos_buckling": 0.2417138596327566,
      "fos_yielding": 1.1819763616865884,
      "deflection": 0.04216288464492323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2255": {
      "node_id": "node_2255",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 161.52 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.51502292215434,
      "fos_buckling": 0.9539164993515998,
      "fos_yielding": 4.0963753386575625,
      "deflection": 0.014565507757185094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005947)"
      },
      "parent_node_id": "node_2254",
      "improvement_over_parent": null
    },
    "node_2256": {
      "node_id": "node_2256",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 173.27 kg\n  Factor of Safety: 1.33\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": 173.2679787470909,
      "fos_buckling": 1.3344297799314513,
      "fos_yielding": 4.0975377576713505,
      "deflection": 0.01320297408614387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005265)"
      },
      "parent_node_id": "node_2255",
      "improvement_over_parent": null
    },
    "node_2257": {
      "node_id": "node_2257",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6610388724925,
      "fos_buckling": 1.5301650831681446,
      "fos_yielding": 4.835868490475146,
      "deflection": 0.011229004855744277,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2256",
      "improvement_over_parent": null
    },
    "node_2258": {
      "node_id": "node_2258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2257",
      "improvement_over_parent": null
    },
    "node_2259": {
      "node_id": "node_2259",
      "content": "INITIAL DESIGN (Trace 322)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 133.97 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.96876706241426,
      "fos_buckling": 0.582936114536587,
      "fos_yielding": 3.3046938787514977,
      "deflection": 0.018658250547374057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2260": {
      "node_id": "node_2260",
      "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 135.00 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.00350753764317,
      "fos_buckling": 0.5828847685389714,
      "fos_yielding": 3.3044027957326434,
      "deflection": 0.018627760462116737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.186)"
      },
      "parent_node_id": "node_2259",
      "improvement_over_parent": null
    },
    "node_2261": {
      "node_id": "node_2261",
      "content": "MODIFICATION: Increase 18 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 136.90 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.89791322839983,
      "fos_buckling": 0.5827907875816263,
      "fos_yielding": 3.303870013002747,
      "deflection": 0.018630663766735542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.244)"
      },
      "parent_node_id": "node_2260",
      "improvement_over_parent": null
    },
    "node_2262": {
      "node_id": "node_2262",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n  Mass: 137.86 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.8635828232164,
      "fos_buckling": 0.5827907875816264,
      "fos_yielding": 3.3038700130027476,
      "deflection": 0.018630663766735542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.364)"
      },
      "parent_node_id": "node_2261",
      "improvement_over_parent": null
    },
    "node_2263": {
      "node_id": "node_2263",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n\nPerformance:\n  Mass: 144.80 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.795947697472,
      "fos_buckling": 0.8951992688601182,
      "fos_yielding": 3.548549653100947,
      "deflection": 0.015809648927705085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004020)"
      },
      "parent_node_id": "node_2262",
      "improvement_over_parent": null
    },
    "node_2264": {
      "node_id": "node_2264",
      "content": "MODIFICATION: Increase 20 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0062)]\n\nPerformance:\n  Mass: 148.19 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.19279459737731,
      "fos_buckling": 0.9316436565219692,
      "fos_yielding": 3.5485800731927326,
      "deflection": 0.015633675606824066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.543)"
      },
      "parent_node_id": "node_2263",
      "improvement_over_parent": null
    },
    "node_2265": {
      "node_id": "node_2265",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0071)]\n\nPerformance:\n  Mass: 168.51 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.50593572055072,
      "fos_buckling": 1.0480094883933428,
      "fos_yielding": 4.033407908710135,
      "deflection": 0.01378482629461157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2264",
      "improvement_over_parent": null
    },
    "node_2266": {
      "node_id": "node_2266",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0087)]\n\nPerformance:\n  Mass: 202.21 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.20580649702714,
      "fos_buckling": 1.2349449165552007,
      "fos_yielding": 4.836976722398031,
      "deflection": 0.011536554433705397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2265",
      "improvement_over_parent": null
    },
    "node_2267": {
      "node_id": "node_2267",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2266",
      "improvement_over_parent": null
    },
    "node_2268": {
      "node_id": "node_2268",
      "content": "INITIAL DESIGN (Trace 323)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 120.14 kg\n  Factor of Safety: 0.66\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": 120.14039201782508,
      "fos_buckling": 0.6623839889298718,
      "fos_yielding": 2.9773570447231106,
      "deflection": 0.01753302770209526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2269": {
      "node_id": "node_2269",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n\nPerformance:\n  Mass: 125.42 kg\n  Factor of Safety: 1.01\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": 125.41591496624929,
      "fos_buckling": 1.0091545279130625,
      "fos_yielding": 2.9697169069662723,
      "deflection": 0.01811284952094967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.002937)"
      },
      "parent_node_id": "node_2268",
      "improvement_over_parent": null
    },
    "node_2270": {
      "node_id": "node_2270",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 162.69 kg\n  Factor of Safety: 1.27\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": 162.69149174649763,
      "fos_buckling": 1.2653395163621177,
      "fos_yielding": 3.8485127989748658,
      "deflection": 0.01403940861947573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2269",
      "improvement_over_parent": null
    },
    "node_2271": {
      "node_id": "node_2271",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.48647249416837,
      "fos_buckling": 1.5291100142705136,
      "fos_yielding": 4.831769722455008,
      "deflection": 0.011238175612369318,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2270",
      "improvement_over_parent": null
    },
    "node_2272": {
      "node_id": "node_2272",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2271",
      "improvement_over_parent": null
    },
    "node_2273": {
      "node_id": "node_2273",
      "content": "INITIAL DESIGN (Trace 324)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n  Mass: 98.14 kg\n  Factor of Safety: 0.81\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": 98.13903840372939,
      "fos_buckling": 0.8090769122541996,
      "fos_yielding": 2.3255249655962316,
      "deflection": 0.02305439280961213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2274": {
      "node_id": "node_2274",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 126.53 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.52540691145983,
      "fos_buckling": 1.0170635509553927,
      "fos_yielding": 2.995890577374435,
      "deflection": 0.01795701770608656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2273",
      "improvement_over_parent": null
    },
    "node_2275": {
      "node_id": "node_2275",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 164.80 kg\n  Factor of Safety: 1.28\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": 164.7975729236665,
      "fos_buckling": 1.2792196093655461,
      "fos_yielding": 3.89810143706258,
      "deflection": 0.013864309466098297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2274",
      "improvement_over_parent": null
    },
    "node_2276": {
      "node_id": "node_2276",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72281577913452,
      "fos_buckling": 1.5305274950248273,
      "fos_yielding": 4.837310002887152,
      "deflection": 0.011225628969672535,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2275",
      "improvement_over_parent": null
    },
    "node_2277": {
      "node_id": "node_2277",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2276",
      "improvement_over_parent": null
    },
    "node_2278": {
      "node_id": "node_2278",
      "content": "INITIAL DESIGN (Trace 325)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 127.59 kg\n  Factor of Safety: 0.71\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": 127.5934014026557,
      "fos_buckling": 0.7070420785342479,
      "fos_yielding": 3.223252014009813,
      "deflection": 0.016373833837253746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2279": {
      "node_id": "node_2279",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n\nPerformance:\n  Mass: 133.27 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.2657480096373,
      "fos_buckling": 1.0704639093754469,
      "fos_yielding": 3.2158937754646764,
      "deflection": 0.01697767382756388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003171)"
      },
      "parent_node_id": "node_2278",
      "improvement_over_parent": null
    },
    "node_2280": {
      "node_id": "node_2280",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n\nPerformance:\n  Mass: 170.35 kg\n  Factor of Safety: 1.32\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": 170.35392029688455,
      "fos_buckling": 1.3168488872710369,
      "fos_yielding": 4.106138480244144,
      "deflection": 0.013355229696022824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2279",
      "improvement_over_parent": null
    },
    "node_2281": {
      "node_id": "node_2281",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 202.18 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.18123609182246,
      "fos_buckling": 1.511120751297073,
      "fos_yielding": 4.868376395995988,
      "deflection": 0.011306242442351004,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2280",
      "improvement_over_parent": null
    },
    "node_2282": {
      "node_id": "node_2282",
      "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.53888128459914,
      "fos_buckling": 1.5294046695759493,
      "fos_yielding": 4.832874019931781,
      "deflection": 0.011235465744864314,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.477)"
      },
      "parent_node_id": "node_2281",
      "improvement_over_parent": null
    },
    "node_2283": {
      "node_id": "node_2283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2282",
      "improvement_over_parent": null
    },
    "node_2284": {
      "node_id": "node_2284",
      "content": "INITIAL DESIGN (Trace 326)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 136.42 kg\n  Factor of Safety: 1.09\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": 136.4179431766769,
      "fos_buckling": 1.0905236485360936,
      "fos_yielding": 3.387258241136054,
      "deflection": 0.0169521503172195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2285": {
      "node_id": "node_2285",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 164.44 kg\n  Factor of Safety: 1.28\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": 164.44211325631494,
      "fos_buckling": 1.2800738570120511,
      "fos_yielding": 4.077879937046537,
      "deflection": 0.014115757422932834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2284",
      "improvement_over_parent": null
    },
    "node_2286": {
      "node_id": "node_2286",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.70 kg\n  Factor of Safety: 1.48\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": 195.69725381569944,
      "fos_buckling": 1.477940083359318,
      "fos_yielding": 4.845874899037543,
      "deflection": 0.011910351866928105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2285",
      "improvement_over_parent": null
    },
    "node_2287": {
      "node_id": "node_2287",
      "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.04 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.0434437070996,
      "fos_buckling": 1.5016558906703932,
      "fos_yielding": 4.845323838924416,
      "deflection": 0.011468518990812259,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.661)"
      },
      "parent_node_id": "node_2286",
      "improvement_over_parent": null
    },
    "node_2288": {
      "node_id": "node_2288",
      "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.23 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.2289785902448,
      "fos_buckling": 1.532159112581436,
      "fos_yielding": 4.84533678555406,
      "deflection": 0.01141077648943912,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.205)"
      },
      "parent_node_id": "node_2287",
      "improvement_over_parent": null
    },
    "node_2289": {
      "node_id": "node_2289",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.87356001504816,
      "fos_buckling": 1.5315683738663923,
      "fos_yielding": 4.841187790879866,
      "deflection": 0.011217993027981649,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.176)"
      },
      "parent_node_id": "node_2288",
      "improvement_over_parent": null
    },
    "node_2290": {
      "node_id": "node_2290",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2289",
      "improvement_over_parent": null
    },
    "node_2291": {
      "node_id": "node_2291",
      "content": "INITIAL DESIGN (Trace 327)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0017)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n  Mass: 93.51 kg\n  Factor of Safety: 0.61\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": 93.5091494165628,
      "fos_buckling": 0.6102244720389689,
      "fos_yielding": 2.275870219015284,
      "deflection": 0.023082449757830335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2292": {
      "node_id": "node_2292",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 116.57 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.57244895725835,
      "fos_buckling": 0.7538734811906315,
      "fos_yielding": 2.8348616522614942,
      "deflection": 0.018586884324962097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2291",
      "improvement_over_parent": null
    },
    "node_2293": {
      "node_id": "node_2293",
      "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 118.86 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.86349775391638,
      "fos_buckling": 0.9700782525807916,
      "fos_yielding": 2.8363172592733625,
      "deflection": 0.019076216243493874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.546)"
      },
      "parent_node_id": "node_2292",
      "improvement_over_parent": null
    },
    "node_2294": {
      "node_id": "node_2294",
      "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 119.85 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.8471432741398,
      "fos_buckling": 0.9702320690371133,
      "fos_yielding": 2.8386362951354256,
      "deflection": 0.01891335764920844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.189)"
      },
      "parent_node_id": "node_2293",
      "improvement_over_parent": null
    },
    "node_2295": {
      "node_id": "node_2295",
      "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 119.99 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.98756893223526,
      "fos_buckling": 0.9701751147653062,
      "fos_yielding": 2.8415383856635246,
      "deflection": 0.018918091598737443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.284)"
      },
      "parent_node_id": "node_2294",
      "improvement_over_parent": null
    },
    "node_2296": {
      "node_id": "node_2296",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 143.79 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.7934414289114,
      "fos_buckling": 1.137920080639826,
      "fos_yielding": 3.403133516120112,
      "deflection": 0.01584138752405054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2295",
      "improvement_over_parent": null
    },
    "node_2297": {
      "node_id": "node_2297",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 165.59 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.58725501092403,
      "fos_buckling": 1.2843945133405033,
      "fos_yielding": 3.9166345943193415,
      "deflection": 0.013800381596350133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2296",
      "improvement_over_parent": null
    },
    "node_2298": {
      "node_id": "node_2298",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64825623397942,
      "fos_buckling": 1.5300630418458563,
      "fos_yielding": 4.835481883508005,
      "deflection": 0.011230071379690525,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2297",
      "improvement_over_parent": null
    },
    "node_2299": {
      "node_id": "node_2299",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2298",
      "improvement_over_parent": null
    },
    "node_2300": {
      "node_id": "node_2300",
      "content": "INITIAL DESIGN (Trace 328)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 116.08 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.07866380839958,
      "fos_buckling": 0.8332879783794432,
      "fos_yielding": 2.7866296866118785,
      "deflection": 0.019491364248023342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2301": {
      "node_id": "node_2301",
      "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 116.99 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.9926141875309,
      "fos_buckling": 0.9485243342726719,
      "fos_yielding": 2.7709615223597823,
      "deflection": 0.019392793236558615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.453)"
      },
      "parent_node_id": "node_2300",
      "improvement_over_parent": null
    },
    "node_2302": {
      "node_id": "node_2302",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 134.67 kg\n  Factor of Safety: 1.07\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": 134.67035463428232,
      "fos_buckling": 1.0746243157588233,
      "fos_yielding": 3.1881439246827115,
      "deflection": 0.01689101816869867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2301",
      "improvement_over_parent": null
    },
    "node_2303": {
      "node_id": "node_2303",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 174.70 kg\n  Factor of Safety: 1.34\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": 174.69895578282257,
      "fos_buckling": 1.343667737895733,
      "fos_yielding": 4.131329252246318,
      "deflection": 0.01309734384990804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2302",
      "improvement_over_parent": null
    },
    "node_2304": {
      "node_id": "node_2304",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60064086600397,
      "fos_buckling": 1.5298152103276044,
      "fos_yielding": 4.834575899210881,
      "deflection": 0.011232036989582993,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2303",
      "improvement_over_parent": null
    },
    "node_2305": {
      "node_id": "node_2305",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2304",
      "improvement_over_parent": null
    },
    "node_2306": {
      "node_id": "node_2306",
      "content": "INITIAL DESIGN (Trace 329)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 185.67 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.66832722797204,
      "fos_buckling": 0.9715775661718761,
      "fos_yielding": 4.589992649312499,
      "deflection": 0.013664018592675423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2307": {
      "node_id": "node_2307",
      "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.54 kg\n  Factor of Safety: 1.16\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": 188.54435587903862,
      "fos_buckling": 1.156894708018794,
      "fos_yielding": 5.163068482658349,
      "deflection": 0.01271704444908898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.359)"
      },
      "parent_node_id": "node_2306",
      "improvement_over_parent": null
    },
    "node_2308": {
      "node_id": "node_2308",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.39 kg\n  Factor of Safety: 1.16\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": 190.39022501348478,
      "fos_buckling": 1.1560138298046616,
      "fos_yielding": 5.163068482658349,
      "deflection": 0.012658427810729138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.221)"
      },
      "parent_node_id": "node_2307",
      "improvement_over_parent": null
    },
    "node_2309": {
      "node_id": "node_2309",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 198.17 kg\n  Factor of Safety: 1.27\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": 198.17187352573725,
      "fos_buckling": 1.269730500130847,
      "fos_yielding": 4.870469470489883,
      "deflection": 0.012008737897518662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_2308",
      "improvement_over_parent": null
    },
    "node_2310": {
      "node_id": "node_2310",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 200.09 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.19e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.0911972460621,
      "fos_buckling": 1.5251462098753237,
      "fos_yielding": 4.834006420208674,
      "deflection": 0.011923972856127976,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.621)"
      },
      "parent_node_id": "node_2309",
      "improvement_over_parent": null
    },
    "node_2311": {
      "node_id": "node_2311",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7156560357428,
      "fos_buckling": 1.5304030594747198,
      "fos_yielding": 4.836797562787117,
      "deflection": 0.011225487471225737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_2310",
      "improvement_over_parent": null
    },
    "node_2312": {
      "node_id": "node_2312",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2311",
      "improvement_over_parent": null
    },
    "node_2313": {
      "node_id": "node_2313",
      "content": "INITIAL DESIGN (Trace 330)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 169.78 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.7766848413406,
      "fos_buckling": 0.4114862758245413,
      "fos_yielding": 3.716861994922439,
      "deflection": 0.015935249623679718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2314": {
      "node_id": "node_2314",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.11 kg\n  Factor of Safety: 0.45\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": 189.11062415698282,
      "fos_buckling": 0.44807390215533754,
      "fos_yielding": 4.135605499277913,
      "deflection": 0.014351605902045001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2313",
      "improvement_over_parent": null
    },
    "node_2315": {
      "node_id": "node_2315",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.22 kg\n  Factor of Safety: 0.45\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": 190.22239753520654,
      "fos_buckling": 0.4479506039583155,
      "fos_yielding": 4.135379658131606,
      "deflection": 0.014353354660891564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.217)"
      },
      "parent_node_id": "node_2314",
      "improvement_over_parent": null
    },
    "node_2316": {
      "node_id": "node_2316",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 202.76 kg\n  Factor of Safety: 1.50\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": 202.76138987517584,
      "fos_buckling": 1.4992649101090234,
      "fos_yielding": 4.803882866388624,
      "deflection": 0.011352853315641979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2315",
      "improvement_over_parent": null
    },
    "node_2317": {
      "node_id": "node_2317",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71531192402944,
      "fos_buckling": 1.5304584128323624,
      "fos_yielding": 4.837096686808358,
      "deflection": 0.011226025609282583,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.325)"
      },
      "parent_node_id": "node_2316",
      "improvement_over_parent": null
    },
    "node_2318": {
      "node_id": "node_2318",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2317",
      "improvement_over_parent": null
    },
    "node_2319": {
      "node_id": "node_2319",
      "content": "INITIAL DESIGN (Trace 331)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 173.90 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.89637805603718,
      "fos_buckling": 0.7998162965464416,
      "fos_yielding": 4.28891787761388,
      "deflection": 0.014326549399914162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2320": {
      "node_id": "node_2320",
      "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 174.99 kg\n  Factor of Safety: 0.79\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": 174.98886281199594,
      "fos_buckling": 0.7858118305006138,
      "fos_yielding": 4.289525266079826,
      "deflection": 0.014305392913071535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.340)"
      },
      "parent_node_id": "node_2319",
      "improvement_over_parent": null
    },
    "node_2321": {
      "node_id": "node_2321",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 177.74 kg\n  Factor of Safety: 1.18\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": 177.73944101461115,
      "fos_buckling": 1.1834520187182196,
      "fos_yielding": 4.2760135357720985,
      "deflection": 0.013355716494735678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003637)"
      },
      "parent_node_id": "node_2320",
      "improvement_over_parent": null
    },
    "node_2322": {
      "node_id": "node_2322",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 180.75 kg\n  Factor of Safety: 1.38\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": 180.7511525070407,
      "fos_buckling": 1.382407203367171,
      "fos_yielding": 4.273764939211688,
      "deflection": 0.012670781376387547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.314)"
      },
      "parent_node_id": "node_2321",
      "improvement_over_parent": null
    },
    "node_2323": {
      "node_id": "node_2323",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60585171534075,
      "fos_buckling": 1.5298926163133684,
      "fos_yielding": 4.834703800046856,
      "deflection": 0.011232454915358969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2322",
      "improvement_over_parent": null
    },
    "node_2324": {
      "node_id": "node_2324",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2323",
      "improvement_over_parent": null
    },
    "node_2325": {
      "node_id": "node_2325",
      "content": "INITIAL DESIGN (Trace 332)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 151.15 kg\n  Factor of Safety: 0.37\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": 151.15035830875357,
      "fos_buckling": 0.3707186668786146,
      "fos_yielding": 3.275985040419588,
      "deflection": 0.018068602067777283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2326": {
      "node_id": "node_2326",
      "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 151.94 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.93544901624722,
      "fos_buckling": 0.37067023263640314,
      "fos_yielding": 3.2759006563310127,
      "deflection": 0.01804333700019428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.502)"
      },
      "parent_node_id": "node_2325",
      "improvement_over_parent": null
    },
    "node_2327": {
      "node_id": "node_2327",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 168.34 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.34134262482982,
      "fos_buckling": 0.4031200246564452,
      "fos_yielding": 3.6266172740130402,
      "deflection": 0.016327188966332222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2326",
      "improvement_over_parent": null
    },
    "node_2328": {
      "node_id": "node_2328",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.24 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.24295140968133,
      "fos_buckling": 0.44786624865624863,
      "fos_yielding": 4.136532502892626,
      "deflection": 0.014351172004466586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_2327",
      "improvement_over_parent": null
    },
    "node_2329": {
      "node_id": "node_2329",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.78194374965062,
      "fos_buckling": 1.5308991351528776,
      "fos_yielding": 4.838792271175688,
      "deflection": 0.011222389723478783,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2328",
      "improvement_over_parent": null
    },
    "node_2330": {
      "node_id": "node_2330",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2329",
      "improvement_over_parent": null
    },
    "node_2331": {
      "node_id": "node_2331",
      "content": "INITIAL DESIGN (Trace 333)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 117.24 kg\n  Factor of Safety: 0.04\n  Max Deflection: 5.79e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.24079204565697,
      "fos_buckling": 0.042572762991516445,
      "fos_yielding": 0.8098893454230466,
      "deflection": 57928716574408.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2332": {
      "node_id": "node_2332",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n  Mass: 122.74 kg\n  Factor of Safety: 0.17\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": 122.74228538334555,
      "fos_buckling": 0.16552798394376772,
      "fos_yielding": 2.4767729417505846,
      "deflection": 0.018143109506150987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003070)"
      },
      "parent_node_id": "node_2331",
      "improvement_over_parent": null
    },
    "node_2333": {
      "node_id": "node_2333",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n  Mass: 123.49 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.4924646222602,
      "fos_buckling": 0.16717147234814417,
      "fos_yielding": 3.080984145565374,
      "deflection": 0.018080505159678427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.267)"
      },
      "parent_node_id": "node_2332",
      "improvement_over_parent": null
    },
    "node_2334": {
      "node_id": "node_2334",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n\nPerformance:\n  Mass: 130.79 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.79404929057836,
      "fos_buckling": 1.0473664191209846,
      "fos_yielding": 3.0944268768629355,
      "deflection": 0.01738166620185844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003537)"
      },
      "parent_node_id": "node_2333",
      "improvement_over_parent": null
    },
    "node_2335": {
      "node_id": "node_2335",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n  Mass: 151.62 kg\n  Factor of Safety: 1.19\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": 151.61777448556523,
      "fos_buckling": 1.1913286017117681,
      "fos_yielding": 3.585113556578304,
      "deflection": 0.015040289898957147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2334",
      "improvement_over_parent": null
    },
    "node_2336": {
      "node_id": "node_2336",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n\nPerformance:\n  Mass: 174.63 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.6289526699265,
      "fos_buckling": 1.343228617071496,
      "fos_yielding": 4.1267176911795005,
      "deflection": 0.01310242555632402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2335",
      "improvement_over_parent": null
    },
    "node_2337": {
      "node_id": "node_2337",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.83301176923234,
      "fos_buckling": 1.5312248540492004,
      "fos_yielding": 4.836621121111993,
      "deflection": 0.011219643839228317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2336",
      "improvement_over_parent": null
    },
    "node_2338": {
      "node_id": "node_2338",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2337",
      "improvement_over_parent": null
    },
    "node_2339": {
      "node_id": "node_2339",
      "content": "INITIAL DESIGN (Trace 334)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 112.48 kg\n  Factor of Safety: 0.18\n  Max Deflection: 5.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.47866983944078,
      "fos_buckling": 0.17894208836093628,
      "fos_yielding": 0.8373943248901267,
      "deflection": 0.05609229882081352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2340": {
      "node_id": "node_2340",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 134.88 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.69e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.87808885875396,
      "fos_buckling": 0.2095551158610541,
      "fos_yielding": 1.0014335513231656,
      "deflection": 0.0469135811900035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2339",
      "improvement_over_parent": null
    },
    "node_2341": {
      "node_id": "node_2341",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 135.55 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.69e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.55022979536176,
      "fos_buckling": 0.2095432369318933,
      "fos_yielding": 1.0006969862354966,
      "deflection": 0.04688990269387836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.229)"
      },
      "parent_node_id": "node_2340",
      "improvement_over_parent": null
    },
    "node_2342": {
      "node_id": "node_2342",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 170.76 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.7580652977,
      "fos_buckling": 0.2541774483967154,
      "fos_yielding": 1.2553823272563804,
      "deflection": 0.0373892435044109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2341",
      "improvement_over_parent": null
    },
    "node_2343": {
      "node_id": "node_2343",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 184.44 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.4381443692528,
      "fos_buckling": 1.405670201295035,
      "fos_yielding": 4.360379137099105,
      "deflection": 0.012423772410142931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006363)"
      },
      "parent_node_id": "node_2342",
      "improvement_over_parent": null
    },
    "node_2344": {
      "node_id": "node_2344",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74553343349518,
      "fos_buckling": 1.5306713573193211,
      "fos_yielding": 4.8378416701012625,
      "deflection": 0.011224669868828564,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2343",
      "improvement_over_parent": null
    },
    "node_2345": {
      "node_id": "node_2345",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2344",
      "improvement_over_parent": null
    },
    "node_2346": {
      "node_id": "node_2346",
      "content": "INITIAL DESIGN (Trace 335)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 123.78 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.78462742536213,
      "fos_buckling": 0.9993452081205292,
      "fos_yielding": 2.943980118461515,
      "deflection": 0.018480846180218304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2347": {
      "node_id": "node_2347",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n\nPerformance:\n  Mass: 124.22 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.21908131024261,
      "fos_buckling": 1.0005971816770984,
      "fos_yielding": 2.9414636157967067,
      "deflection": 0.018284216430279412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001168)"
      },
      "parent_node_id": "node_2346",
      "improvement_over_parent": null
    },
    "node_2348": {
      "node_id": "node_2348",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n\nPerformance:\n  Mass: 145.00 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.99580306143326,
      "fos_buckling": 1.1461910034508629,
      "fos_yielding": 3.431535320128631,
      "deflection": 0.015712106094172628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2347",
      "improvement_over_parent": null
    },
    "node_2349": {
      "node_id": "node_2349",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 170.95 kg\n  Factor of Safety: 1.32\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": 170.94684830331508,
      "fos_buckling": 1.3193961707028663,
      "fos_yielding": 4.04288979602073,
      "deflection": 0.013377601996646055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2348",
      "improvement_over_parent": null
    },
    "node_2350": {
      "node_id": "node_2350",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72335646705596,
      "fos_buckling": 1.5305309143890047,
      "fos_yielding": 4.837323559458628,
      "deflection": 0.01122560047548605,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2349",
      "improvement_over_parent": null
    },
    "node_2351": {
      "node_id": "node_2351",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 336)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 124.88 kg\n  Factor of Safety: 0.51\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": 124.8771475949665,
      "fos_buckling": 0.5111709761459873,
      "fos_yielding": 3.39249784752211,
      "deflection": 0.017546162038194243,
      "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 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 127.29 kg\n  Factor of Safety: 0.51\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": 127.28969061776952,
      "fos_buckling": 0.5110659381303428,
      "fos_yielding": 3.392435032780587,
      "deflection": 0.017326241185803445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.600)"
      },
      "parent_node_id": "node_2352",
      "improvement_over_parent": null
    },
    "node_2354": {
      "node_id": "node_2354",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 147.52 kg\n  Factor of Safety: 0.58\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": 147.5208776853346,
      "fos_buckling": 0.5798393715229446,
      "fos_yielding": 3.928954499345151,
      "deflection": 0.014977986806532218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2353",
      "improvement_over_parent": null
    },
    "node_2355": {
      "node_id": "node_2355",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n  Mass: 156.87 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.8733472724779,
      "fos_buckling": 0.5784594531491524,
      "fos_yielding": 3.928108001025935,
      "deflection": 0.016909739413156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004606)"
      },
      "parent_node_id": "node_2354",
      "improvement_over_parent": null
    },
    "node_2356": {
      "node_id": "node_2356",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n  Mass: 165.89 kg\n  Factor of Safety: 1.07\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": 165.88831132547338,
      "fos_buckling": 1.0692566061780837,
      "fos_yielding": 3.9924731804882954,
      "deflection": 0.013738519541262937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004522)"
      },
      "parent_node_id": "node_2355",
      "improvement_over_parent": null
    },
    "node_2357": {
      "node_id": "node_2357",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n  Mass: 167.51 kg\n  Factor of Safety: 1.30\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": 167.51165439298603,
      "fos_buckling": 1.297057149264752,
      "fos_yielding": 3.961881381607019,
      "deflection": 0.013645491909007606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.642)"
      },
      "parent_node_id": "node_2356",
      "improvement_over_parent": null
    },
    "node_2358": {
      "node_id": "node_2358",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.73319755380206,
      "fos_buckling": 1.530637080888912,
      "fos_yielding": 4.8373986133987,
      "deflection": 0.011225401990512933,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2357",
      "improvement_over_parent": null
    },
    "node_2359": {
      "node_id": "node_2359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2358",
      "improvement_over_parent": null
    },
    "node_2360": {
      "node_id": "node_2360",
      "content": "INITIAL DESIGN (Trace 337)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0014)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n  Mass: 82.31 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.86e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 82.3089078376499,
      "fos_buckling": 0.48170289718022646,
      "fos_yielding": 2.111510018056706,
      "deflection": 0.028626895452354636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2361": {
      "node_id": "node_2361",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 104.09 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.08646671715816,
      "fos_buckling": 0.5985442061319103,
      "fos_yielding": 2.6682669313098297,
      "deflection": 0.022682261223279692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_2360",
      "improvement_over_parent": null
    },
    "node_2362": {
      "node_id": "node_2362",
      "content": "MODIFICATION: Increase 14 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 105.80 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.7986677553311,
      "fos_buckling": 0.5988110353672514,
      "fos_yielding": 2.6651263530255864,
      "deflection": 0.022615343937300643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.511)"
      },
      "parent_node_id": "node_2361",
      "improvement_over_parent": null
    },
    "node_2363": {
      "node_id": "node_2363",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 129.95 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.94538264277304,
      "fos_buckling": 0.7213750832134685,
      "fos_yielding": 3.2712241694293462,
      "deflection": 0.018451686555531158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2362",
      "improvement_over_parent": null
    },
    "node_2364": {
      "node_id": "node_2364",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n\nPerformance:\n  Mass: 132.04 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.04386998010332,
      "fos_buckling": 0.7211119670492987,
      "fos_yielding": 3.2711270581937897,
      "deflection": 0.015971927463465905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002721)"
      },
      "parent_node_id": "node_2363",
      "improvement_over_parent": null
    },
    "node_2365": {
      "node_id": "node_2365",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 153.47 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.46778321315506,
      "fos_buckling": 0.8237080138024441,
      "fos_yielding": 3.799644007670965,
      "deflection": 0.01377154992701802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2364",
      "improvement_over_parent": null
    },
    "node_2366": {
      "node_id": "node_2366",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 196.11 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.10827385483142,
      "fos_buckling": 1.0157813083901728,
      "fos_yielding": 4.849730138246638,
      "deflection": 0.010822765547157423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2365",
      "improvement_over_parent": null
    },
    "node_2367": {
      "node_id": "node_2367",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7187628879053,
      "fos_buckling": 1.5304848263756294,
      "fos_yielding": 4.837012936835106,
      "deflection": 0.01122609944960362,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2366",
      "improvement_over_parent": null
    },
    "node_2368": {
      "node_id": "node_2368",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2367",
      "improvement_over_parent": null
    },
    "node_2369": {
      "node_id": "node_2369",
      "content": "INITIAL DESIGN (Trace 338)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.28 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.28256495188222,
      "fos_buckling": 0.33792504141611424,
      "fos_yielding": 1.9450389753300394,
      "deflection": 0.02996452190132855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2370": {
      "node_id": "node_2370",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.27 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.89e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.27401997304088,
      "fos_buckling": 0.3375864903838125,
      "fos_yielding": 2.077174873982198,
      "deflection": 0.028895817327287847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.391)"
      },
      "parent_node_id": "node_2369",
      "improvement_over_parent": null
    },
    "node_2371": {
      "node_id": "node_2371",
      "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.23 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.22590335324216,
      "fos_buckling": 0.33725196341616,
      "fos_yielding": 2.074154029496035,
      "deflection": 0.02815355219021544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.613)"
      },
      "parent_node_id": "node_2370",
      "improvement_over_parent": null
    },
    "node_2372": {
      "node_id": "node_2372",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7137104302589,
      "fos_buckling": 1.5303850996677044,
      "fos_yielding": 4.836791727779659,
      "deflection": 0.011225427052035148,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2371",
      "improvement_over_parent": null
    },
    "node_2373": {
      "node_id": "node_2373",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2372",
      "improvement_over_parent": null
    },
    "node_2374": {
      "node_id": "node_2374",
      "content": "INITIAL DESIGN (Trace 339)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 147.01 kg\n  Factor of Safety: 0.72\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": 147.00553313541695,
      "fos_buckling": 0.7231204318852862,
      "fos_yielding": 4.010428747532724,
      "deflection": 0.016569426962070286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2375": {
      "node_id": "node_2375",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 147.26 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.25584727622027,
      "fos_buckling": 0.7247034286881338,
      "fos_yielding": 4.010428747532722,
      "deflection": 0.016548165138538806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.429)"
      },
      "parent_node_id": "node_2374",
      "improvement_over_parent": null
    },
    "node_2376": {
      "node_id": "node_2376",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 149.68 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.67596912021418,
      "fos_buckling": 0.9434716512227123,
      "fos_yielding": 4.010428747532723,
      "deflection": 0.015652883612761875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)"
      },
      "parent_node_id": "node_2375",
      "improvement_over_parent": null
    },
    "node_2377": {
      "node_id": "node_2377",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 192.87 kg\n  Factor of Safety: 1.16\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": 192.87107818959308,
      "fos_buckling": 1.1570136514575964,
      "fos_yielding": 5.163630109705945,
      "deflection": 0.012225310179687005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2376",
      "improvement_over_parent": null
    },
    "node_2378": {
      "node_id": "node_2378",
      "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 198.32 kg\n  Factor of Safety: 1.16\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": 198.31873353865186,
      "fos_buckling": 1.1554550188720685,
      "fos_yielding": 5.163630109705945,
      "deflection": 0.012452284050780296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.555)"
      },
      "parent_node_id": "node_2377",
      "improvement_over_parent": null
    },
    "node_2379": {
      "node_id": "node_2379",
      "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 201.56 kg\n  Factor of Safety: 1.15\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": 201.56306001034486,
      "fos_buckling": 1.153912105035486,
      "fos_yielding": 5.163630109705944,
      "deflection": 0.01216393528791287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.484)"
      },
      "parent_node_id": "node_2378",
      "improvement_over_parent": null
    },
    "node_2380": {
      "node_id": "node_2380",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 206.87 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.87110548733935,
      "fos_buckling": 1.3692372933279693,
      "fos_yielding": 4.846381941930855,
      "deflection": 0.011539830495633405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2379",
      "improvement_over_parent": null
    },
    "node_2381": {
      "node_id": "node_2381",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2380",
      "improvement_over_parent": null
    },
    "node_2382": {
      "node_id": "node_2382",
      "content": "INITIAL DESIGN (Trace 340)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0007)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n  Mass: 92.84 kg\n  Factor of Safety: 0.67\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": 92.84020288297911,
      "fos_buckling": 0.6702431420401272,
      "fos_yielding": 1.8266043266548708,
      "deflection": 0.0242432466528588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2383": {
      "node_id": "node_2383",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0007)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n  Mass: 93.33 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.32775256798304,
      "fos_buckling": 0.6743550602542482,
      "fos_yielding": 2.2213121906952544,
      "deflection": 0.02410633885105151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.232)"
      },
      "parent_node_id": "node_2382",
      "improvement_over_parent": null
    },
    "node_2384": {
      "node_id": "node_2384",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 116.00 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.00460602696997,
      "fos_buckling": 0.8293131917364214,
      "fos_yielding": 2.759274868517269,
      "deflection": 0.019459477312326185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2383",
      "improvement_over_parent": null
    },
    "node_2385": {
      "node_id": "node_2385",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 146.40 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.39990079572664,
      "fos_buckling": 1.0314536619920986,
      "fos_yielding": 3.4792523121464165,
      "deflection": 0.01548894709967494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2384",
      "improvement_over_parent": null
    },
    "node_2386": {
      "node_id": "node_2386",
      "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 146.99 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.99273081182716,
      "fos_buckling": 1.1616811304756267,
      "fos_yielding": 3.478498548920336,
      "deflection": 0.015471365200861158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.383)"
      },
      "parent_node_id": "node_2385",
      "improvement_over_parent": null
    },
    "node_2387": {
      "node_id": "node_2387",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 173.13 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.13332009178546,
      "fos_buckling": 1.3355691795738647,
      "fos_yielding": 4.09423744213107,
      "deflection": 0.013185992991295437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2386",
      "improvement_over_parent": null
    },
    "node_2388": {
      "node_id": "node_2388",
      "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 173.42 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.42426126887946,
      "fos_buckling": 1.3354419508622166,
      "fos_yielding": 4.100791375348361,
      "deflection": 0.01319130976499021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.473)"
      },
      "parent_node_id": "node_2387",
      "improvement_over_parent": null
    },
    "node_2389": {
      "node_id": "node_2389",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.84 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.84239042210714,
      "fos_buckling": 1.5312590892540687,
      "fos_yielding": 4.839637478515864,
      "deflection": 0.011219303435007821,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2388",
      "improvement_over_parent": null
    },
    "node_2390": {
      "node_id": "node_2390",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2389",
      "improvement_over_parent": null
    },
    "node_2391": {
      "node_id": "node_2391",
      "content": "INITIAL DESIGN (Trace 341)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 116.75 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.74947914722384,
      "fos_buckling": 0.17254410427311023,
      "fos_yielding": 3.193964112577572,
      "deflection": 0.01989249854742136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2392": {
      "node_id": "node_2392",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 151.69 kg\n  Factor of Safety: 0.22\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": 151.6868737563298,
      "fos_buckling": 0.2168649813509611,
      "fos_yielding": 4.144475963523092,
      "deflection": 0.015359727012180842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2391",
      "improvement_over_parent": null
    },
    "node_2393": {
      "node_id": "node_2393",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 163.62 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.61517502061776,
      "fos_buckling": 0.21664934309625988,
      "fos_yielding": 4.144099308496603,
      "deflection": 0.013750597618241768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005350)"
      },
      "parent_node_id": "node_2392",
      "improvement_over_parent": null
    },
    "node_2394": {
      "node_id": "node_2394",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 166.16 kg\n  Factor of Safety: 0.22\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": 166.15909009397836,
      "fos_buckling": 0.21684520279341893,
      "fos_yielding": 4.143883701367886,
      "deflection": 0.013488357800840338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.245)"
      },
      "parent_node_id": "node_2393",
      "improvement_over_parent": null
    },
    "node_2395": {
      "node_id": "node_2395",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 193.53 kg\n  Factor of Safety: 0.25\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": 193.5330970366811,
      "fos_buckling": 0.24650461847548977,
      "fos_yielding": 4.823028777501933,
      "deflection": 0.011608541659512058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2394",
      "improvement_over_parent": null
    },
    "node_2396": {
      "node_id": "node_2396",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.96 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.96029720272074,
      "fos_buckling": 1.5319757330749606,
      "fos_yielding": 4.843523884391489,
      "deflection": 0.011210984549868455,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2395",
      "improvement_over_parent": null
    },
    "node_2397": {
      "node_id": "node_2397",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2396",
      "improvement_over_parent": null
    },
    "node_2398": {
      "node_id": "node_2398",
      "content": "INITIAL DESIGN (Trace 342)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 111.89 kg\n  Factor of Safety: 0.91\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": 111.8947065092517,
      "fos_buckling": 0.9130402165312616,
      "fos_yielding": 2.66205338920013,
      "deflection": 0.020409569580894772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2399": {
      "node_id": "node_2399",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n\nPerformance:\n  Mass: 112.29 kg\n  Factor of Safety: 0.91\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": 112.2872898019909,
      "fos_buckling": 0.9141898744950968,
      "fos_yielding": 2.659778488153552,
      "deflection": 0.02019162674930751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001050)"
      },
      "parent_node_id": "node_2398",
      "improvement_over_parent": null
    },
    "node_2400": {
      "node_id": "node_2400",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 137.81 kg\n  Factor of Safety: 1.10\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": 137.80936372823635,
      "fos_buckling": 1.096530962763082,
      "fos_yielding": 3.2620911073227896,
      "deflection": 0.016514038681604497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2399",
      "improvement_over_parent": null
    },
    "node_2401": {
      "node_id": "node_2401",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 175.44 kg\n  Factor of Safety: 1.35\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": 175.43529863042897,
      "fos_buckling": 1.3483840176020914,
      "fos_yielding": 4.148547857783136,
      "deflection": 0.013043890360655036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_2400",
      "improvement_over_parent": null
    },
    "node_2402": {
      "node_id": "node_2402",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66246246113383,
      "fos_buckling": 1.5301659977201427,
      "fos_yielding": 4.835898872513724,
      "deflection": 0.01122884307582112,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2401",
      "improvement_over_parent": null
    },
    "node_2403": {
      "node_id": "node_2403",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2402",
      "improvement_over_parent": null
    },
    "node_2404": {
      "node_id": "node_2404",
      "content": "INITIAL DESIGN (Trace 343)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 141.68 kg\n  Factor of Safety: 0.33\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": 141.6796189974278,
      "fos_buckling": 0.33122888870537825,
      "fos_yielding": 3.8379235724954466,
      "deflection": 0.017868893152118693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2405": {
      "node_id": "node_2405",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n  Mass: 142.52 kg\n  Factor of Safety: 0.91\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": 142.5169282818242,
      "fos_buckling": 0.9081367800194409,
      "fos_yielding": 3.8379235724954466,
      "deflection": 0.016143202583142172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001817)"
      },
      "parent_node_id": "node_2404",
      "improvement_over_parent": null
    },
    "node_2406": {
      "node_id": "node_2406",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n  Mass: 148.30 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.29955826848774,
      "fos_buckling": 1.0265789684305309,
      "fos_yielding": 3.611410344936072,
      "deflection": 0.015339824482149277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003427)"
      },
      "parent_node_id": "node_2405",
      "improvement_over_parent": null
    },
    "node_2407": {
      "node_id": "node_2407",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 175.99 kg\n  Factor of Safety: 1.20\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": 175.9935613836619,
      "fos_buckling": 1.1950473703266307,
      "fos_yielding": 4.281254392637446,
      "deflection": 0.0129783970809384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2406",
      "improvement_over_parent": null
    },
    "node_2408": {
      "node_id": "node_2408",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 199.59 kg\n  Factor of Safety: 1.33\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": 199.5946250943824,
      "fos_buckling": 1.3328377964106966,
      "fos_yielding": 4.8508980412118685,
      "deflection": 0.011483152147503367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2407",
      "improvement_over_parent": null
    },
    "node_2409": {
      "node_id": "node_2409",
      "content": "MODIFICATION: Increase 20 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n\nPerformance:\n  Mass: 201.45 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.44571782549204,
      "fos_buckling": 1.3327472898809807,
      "fos_yielding": 4.833669059313441,
      "deflection": 0.011450164820869586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.269)"
      },
      "parent_node_id": "node_2408",
      "improvement_over_parent": null
    },
    "node_2410": {
      "node_id": "node_2410",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n\nPerformance:\n  Mass: 202.39 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.3940410692651,
      "fos_buckling": 1.33268522005119,
      "fos_yielding": 4.817074787792108,
      "deflection": 0.011416331445691163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.239)"
      },
      "parent_node_id": "node_2409",
      "improvement_over_parent": null
    },
    "node_2411": {
      "node_id": "node_2411",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 344)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 157.23 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.23101680434584,
      "fos_buckling": 0.38245450849842105,
      "fos_yielding": 3.4012416752881443,
      "deflection": 0.017404467139252033,
      "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: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.46 kg\n  Factor of Safety: 0.45\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": 191.46285367457315,
      "fos_buckling": 0.4477228312617414,
      "fos_yielding": 4.134350113475012,
      "deflection": 0.014370532153774084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2412",
      "improvement_over_parent": null
    },
    "node_2414": {
      "node_id": "node_2414",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n  Mass: 202.00 kg\n  Factor of Safety: 1.41\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": 201.99764384804055,
      "fos_buckling": 1.4072448818320908,
      "fos_yielding": 4.809584763670317,
      "deflection": 0.011340893896117001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004963)"
      },
      "parent_node_id": "node_2413",
      "improvement_over_parent": null
    },
    "node_2415": {
      "node_id": "node_2415",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n  Mass: 203.45 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.44503263443835,
      "fos_buckling": 1.4343777390343675,
      "fos_yielding": 4.79379501421703,
      "deflection": 0.011306446302026773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.209)"
      },
      "parent_node_id": "node_2414",
      "improvement_over_parent": null
    },
    "node_2416": {
      "node_id": "node_2416",
      "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n  Mass: 204.12 kg\n  Factor of Safety: 1.44\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": 204.12079181699013,
      "fos_buckling": 1.4353652271992927,
      "fos_yielding": 4.793143458397373,
      "deflection": 0.011296923011980275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.304)"
      },
      "parent_node_id": "node_2415",
      "improvement_over_parent": null
    },
    "node_2417": {
      "node_id": "node_2417",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2416",
      "improvement_over_parent": null
    },
    "node_2418": {
      "node_id": "node_2418",
      "content": "INITIAL DESIGN (Trace 345)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.24 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.24027265495283,
      "fos_buckling": 1.0652530700435678,
      "fos_yielding": 4.665957200306535,
      "deflection": 0.013089880486744856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2419": {
      "node_id": "node_2419",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n  Mass: 183.98 kg\n  Factor of Safety: 1.33\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": 183.97962585425168,
      "fos_buckling": 1.3250834185715272,
      "fos_yielding": 4.391723440164193,
      "deflection": 0.01242690302601647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002888)"
      },
      "parent_node_id": "node_2418",
      "improvement_over_parent": null
    },
    "node_2420": {
      "node_id": "node_2420",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 203.58 kg\n  Factor of Safety: 1.44\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": 203.576234941624,
      "fos_buckling": 1.440365811512973,
      "fos_yielding": 4.856673018588049,
      "deflection": 0.011263089562530448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2419",
      "improvement_over_parent": null
    },
    "node_2421": {
      "node_id": "node_2421",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0085)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 206.95 kg\n  Factor of Safety: 1.47\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": 206.95498330939424,
      "fos_buckling": 1.4652397359305485,
      "fos_yielding": 4.8615304856756865,
      "deflection": 0.010880986781821844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.307)"
      },
      "parent_node_id": "node_2420",
      "improvement_over_parent": null
    },
    "node_2422": {
      "node_id": "node_2422",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2421",
      "improvement_over_parent": null
    },
    "node_2423": {
      "node_id": "node_2423",
      "content": "INITIAL DESIGN (Trace 346)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0017)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0023)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0014)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0020)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0018)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0018)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0006)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0017)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0019)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0015)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0018)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0018)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0016)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0015)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0025)]\n\nPerformance:\n  Mass: 66.16 kg\n  Factor of Safety: 0.58\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 66.15551633630291,
      "fos_buckling": 0.5800352443700931,
      "fos_yielding": 1.633387737067941,
      "deflection": 0.034186249260601334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2424": {
      "node_id": "node_2424",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0019)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n  Mass: 86.91 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 86.906622410686,
      "fos_buckling": 0.7498091384172849,
      "fos_yielding": 2.1439363747538582,
      "deflection": 0.026100034462043516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2423",
      "improvement_over_parent": null
    },
    "node_2425": {
      "node_id": "node_2425",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n  Mass: 89.10 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.52e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.10351632049175,
      "fos_buckling": 0.7288559916842037,
      "fos_yielding": 2.1437581147412743,
      "deflection": 0.02517831128282677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.558)"
      },
      "parent_node_id": "node_2424",
      "improvement_over_parent": null
    },
    "node_2426": {
      "node_id": "node_2426",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 110.89 kg\n  Factor of Safety: 0.89\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.8885294622631,
      "fos_buckling": 0.8896508977957652,
      "fos_yielding": 2.6660003347701426,
      "deflection": 0.020298201802646826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_2425",
      "improvement_over_parent": null
    },
    "node_2427": {
      "node_id": "node_2427",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 139.72 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.7218619741458,
      "fos_buckling": 1.0920756306571957,
      "fos_yielding": 3.356049641571799,
      "deflection": 0.01617920255624162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2426",
      "improvement_over_parent": null
    },
    "node_2428": {
      "node_id": "node_2428",
      "content": "MODIFICATION: Increase 19 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 141.81 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.80803990251482,
      "fos_buckling": 1.12414561119225,
      "fos_yielding": 3.3560895299615856,
      "deflection": 0.016058178601046847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.294)"
      },
      "parent_node_id": "node_2427",
      "improvement_over_parent": null
    },
    "node_2429": {
      "node_id": "node_2429",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 177.47 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.4658786127553,
      "fos_buckling": 1.361278731781092,
      "fos_yielding": 4.195976033281846,
      "deflection": 0.01289876216530029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2428",
      "improvement_over_parent": null
    },
    "node_2430": {
      "node_id": "node_2430",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.92466911148568,
      "fos_buckling": 1.5316074571590943,
      "fos_yielding": 4.841650684410296,
      "deflection": 0.011215158206924954,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2429",
      "improvement_over_parent": null
    },
    "node_2431": {
      "node_id": "node_2431",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 347)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 107.30 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.54e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.30080415889586,
      "fos_buckling": 0.4270001286706237,
      "fos_yielding": 2.386861369063901,
      "deflection": 0.025447358269633437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2433": {
      "node_id": "node_2433",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 130.51 kg\n  Factor of Safety: 0.51\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": 130.50872708798215,
      "fos_buckling": 0.5072703593063225,
      "fos_yielding": 2.8923860686357905,
      "deflection": 0.020992323401662072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2432",
      "improvement_over_parent": null
    },
    "node_2434": {
      "node_id": "node_2434",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n\nPerformance:\n  Mass: 138.24 kg\n  Factor of Safety: 0.87\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": 138.24320249537124,
      "fos_buckling": 0.8650646660174003,
      "fos_yielding": 3.6249977708856247,
      "deflection": 0.01674493145469253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003838)"
      },
      "parent_node_id": "node_2433",
      "improvement_over_parent": null
    },
    "node_2435": {
      "node_id": "node_2435",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n  Mass: 162.62 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.62499285795795,
      "fos_buckling": 0.9906293232269774,
      "fos_yielding": 4.2638542984936825,
      "deflection": 0.01428927959623042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2434",
      "improvement_over_parent": null
    },
    "node_2436": {
      "node_id": "node_2436",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 196.98 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.9805796875823,
      "fos_buckling": 1.154416491168438,
      "fos_yielding": 5.163802199685193,
      "deflection": 0.011860886700523795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2435",
      "improvement_over_parent": null
    },
    "node_2437": {
      "node_id": "node_2437",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76222819983477,
      "fos_buckling": 1.5307627906258676,
      "fos_yielding": 4.838255476249419,
      "deflection": 0.011223484068342742,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_2436",
      "improvement_over_parent": null
    },
    "node_2438": {
      "node_id": "node_2438",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2437",
      "improvement_over_parent": null
    },
    "node_2439": {
      "node_id": "node_2439",
      "content": "INITIAL DESIGN (Trace 348)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0017)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 118.37 kg\n  Factor of Safety: 0.64\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": 118.37364265555709,
      "fos_buckling": 0.6418092162846784,
      "fos_yielding": 3.4411805029760436,
      "deflection": 0.01999340498680869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2440": {
      "node_id": "node_2440",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 139.60 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.60436478533597,
      "fos_buckling": 0.7436120737890168,
      "fos_yielding": 4.056561880375685,
      "deflection": 0.017012838644473654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2439",
      "improvement_over_parent": null
    },
    "node_2441": {
      "node_id": "node_2441",
      "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 141.19 kg\n  Factor of Safety: 0.74\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": 141.18697209173774,
      "fos_buckling": 0.7435141051843372,
      "fos_yielding": 4.056561880375685,
      "deflection": 0.017015103486174788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.451)"
      },
      "parent_node_id": "node_2440",
      "improvement_over_parent": null
    },
    "node_2442": {
      "node_id": "node_2442",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 145.36 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.3583256391096,
      "fos_buckling": 0.8960994001156435,
      "fos_yielding": 3.7689681697043835,
      "deflection": 0.015876758910507344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003246)"
      },
      "parent_node_id": "node_2441",
      "improvement_over_parent": null
    },
    "node_2443": {
      "node_id": "node_2443",
      "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 147.28 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.27874872224987,
      "fos_buckling": 0.8960506192452309,
      "fos_yielding": 3.74946340262357,
      "deflection": 0.015801826077215916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.346)"
      },
      "parent_node_id": "node_2442",
      "improvement_over_parent": null
    },
    "node_2444": {
      "node_id": "node_2444",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n  Mass: 158.19 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.19204293018132,
      "fos_buckling": 1.1064770101431656,
      "fos_yielding": 3.7503798411029345,
      "deflection": 0.014464216697573012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004861)"
      },
      "parent_node_id": "node_2443",
      "improvement_over_parent": null
    },
    "node_2445": {
      "node_id": "node_2445",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.30 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.29804010028812,
      "fos_buckling": 1.3559934411679389,
      "fos_yielding": 4.767230610303351,
      "deflection": 0.011435846396372134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2444",
      "improvement_over_parent": null
    },
    "node_2446": {
      "node_id": "node_2446",
      "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0082)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 203.54 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.53951003280923,
      "fos_buckling": 1.2289928587737329,
      "fos_yielding": 5.660268094789893,
      "deflection": 0.011340515320989958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.443)"
      },
      "parent_node_id": "node_2445",
      "improvement_over_parent": null
    },
    "node_2447": {
      "node_id": "node_2447",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 349)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 119.73 kg\n  Factor of Safety: 0.10\n  Max Deflection: 8.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.73195230660482,
      "fos_buckling": 0.09755360745111201,
      "fos_yielding": 1.4404633979919022,
      "deflection": 0.08666138199059772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2449": {
      "node_id": "node_2449",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 120.20 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.20223335648342,
      "fos_buckling": 0.1947041562054531,
      "fos_yielding": 0.9230826761619148,
      "deflection": 0.051542606496134825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001270)"
      },
      "parent_node_id": "node_2448",
      "improvement_over_parent": null
    },
    "node_2450": {
      "node_id": "node_2450",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 121.14 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.14490837948077,
      "fos_buckling": 0.19470415620545273,
      "fos_yielding": 0.9204070494082133,
      "deflection": 0.05142519161280728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.346)"
      },
      "parent_node_id": "node_2449",
      "improvement_over_parent": null
    },
    "node_2451": {
      "node_id": "node_2451",
      "content": "MODIFICATION: Increase 18 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0079)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 128.66 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.65980743160355,
      "fos_buckling": 0.1945805878063679,
      "fos_yielding": 0.9198151664587648,
      "deflection": 0.050991367273026125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.603)"
      },
      "parent_node_id": "node_2450",
      "improvement_over_parent": null
    },
    "node_2452": {
      "node_id": "node_2452",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0097)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 155.91 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.91322742153284,
      "fos_buckling": 0.22950721241544908,
      "fos_yielding": 1.1124019452042038,
      "deflection": 0.0421767574698874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_2451",
      "improvement_over_parent": null
    },
    "node_2453": {
      "node_id": "node_2453",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0124)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 195.32 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.31869571200141,
      "fos_buckling": 0.27620256338823385,
      "fos_yielding": 1.3896758939413996,
      "deflection": 0.03377727387997824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2452",
      "improvement_over_parent": null
    },
    "node_2454": {
      "node_id": "node_2454",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0124)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 210.50 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.10e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 210.50324972690282,
      "fos_buckling": 1.5730007488105457,
      "fos_yielding": 4.8372538147447015,
      "deflection": 0.01099465425901297,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2453",
      "improvement_over_parent": null
    },
    "node_2455": {
      "node_id": "node_2455",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 350)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 107.35 kg\n  Factor of Safety: 0.25\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": 107.35081306746761,
      "fos_buckling": 0.24907242658890189,
      "fos_yielding": 2.8351552731504963,
      "deflection": 0.024276587651295048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2457": {
      "node_id": "node_2457",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 119.78 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.78139144996297,
      "fos_buckling": 0.27377785368644475,
      "fos_yielding": 3.163016156587821,
      "deflection": 0.02180267624974769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2456",
      "improvement_over_parent": null
    },
    "node_2458": {
      "node_id": "node_2458",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 133.33 kg\n  Factor of Safety: 0.30\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": 133.3316832886867,
      "fos_buckling": 0.29977617569271214,
      "fos_yielding": 3.520301426420295,
      "deflection": 0.01963135611720292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2457",
      "improvement_over_parent": null
    },
    "node_2459": {
      "node_id": "node_2459",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 172.87 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.87207290588782,
      "fos_buckling": 0.37020533425935903,
      "fos_yielding": 4.562208332482173,
      "deflection": 0.015240936919966584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2458",
      "improvement_over_parent": null
    },
    "node_2460": {
      "node_id": "node_2460",
      "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 175.24 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.2382743915378,
      "fos_buckling": 0.37030201530418383,
      "fos_yielding": 4.562208332482173,
      "deflection": 0.014871400161912768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.294)"
      },
      "parent_node_id": "node_2459",
      "improvement_over_parent": null
    },
    "node_2461": {
      "node_id": "node_2461",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 176.23 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.2337249568478,
      "fos_buckling": 1.0466130132706093,
      "fos_yielding": 4.562208332482173,
      "deflection": 0.013378816880990156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002189)"
      },
      "parent_node_id": "node_2460",
      "improvement_over_parent": null
    },
    "node_2462": {
      "node_id": "node_2462",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 180.92 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.924154164305,
      "fos_buckling": 1.3834149086482328,
      "fos_yielding": 4.2776772196329595,
      "deflection": 0.012658316765113075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003684)"
      },
      "parent_node_id": "node_2461",
      "improvement_over_parent": null
    },
    "node_2463": {
      "node_id": "node_2463",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.63643714889986,
      "fos_buckling": 1.5299793467131968,
      "fos_yielding": 4.835246286850146,
      "deflection": 0.011230241785497376,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2462",
      "improvement_over_parent": null
    },
    "node_2464": {
      "node_id": "node_2464",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2463",
      "improvement_over_parent": null
    },
    "node_2465": {
      "node_id": "node_2465",
      "content": "INITIAL DESIGN (Trace 351)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_2466": {
      "node_id": "node_2466",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 160.09 kg\n  Factor of Safety: 0.94\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": 160.0856186194234,
      "fos_buckling": 0.9414806607322984,
      "fos_yielding": 4.033479910237244,
      "deflection": 0.015367644141852078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005177)"
      },
      "parent_node_id": "node_2465",
      "improvement_over_parent": null
    },
    "node_2467": {
      "node_id": "node_2467",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 167.97 kg\n  Factor of Safety: 1.33\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": 167.9726938088638,
      "fos_buckling": 1.3290810946215048,
      "fos_yielding": 4.034899599253559,
      "deflection": 0.013652553065308505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004617)"
      },
      "parent_node_id": "node_2466",
      "improvement_over_parent": null
    },
    "node_2468": {
      "node_id": "node_2468",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 201.67 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.66504706533715,
      "fos_buckling": 1.5455375247954786,
      "fos_yielding": 4.838730356079489,
      "deflection": 0.011426330129458429,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2467",
      "improvement_over_parent": null
    },
    "node_2469": {
      "node_id": "node_2469",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77029605497853,
      "fos_buckling": 1.5308042991532205,
      "fos_yielding": 4.838436100623994,
      "deflection": 0.011223084912371731,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.307)"
      },
      "parent_node_id": "node_2468",
      "improvement_over_parent": null
    },
    "node_2470": {
      "node_id": "node_2470",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2469",
      "improvement_over_parent": null
    },
    "node_2471": {
      "node_id": "node_2471",
      "content": "INITIAL DESIGN (Trace 352)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n  Mass: 88.19 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.71e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 88.19200294910999,
      "fos_buckling": 0.5061371931782899,
      "fos_yielding": 2.222779026450878,
      "deflection": 0.02708764305738774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2472": {
      "node_id": "node_2472",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 102.94 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.94403173556752,
      "fos_buckling": 0.5839942161943315,
      "fos_yielding": 2.593534148863711,
      "deflection": 0.023235849253713706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2471",
      "improvement_over_parent": null
    },
    "node_2473": {
      "node_id": "node_2473",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 117.89 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.88717384812169,
      "fos_buckling": 0.6608546584320725,
      "fos_yielding": 2.968785747865109,
      "deflection": 0.020316971843405782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_2472",
      "improvement_over_parent": null
    },
    "node_2474": {
      "node_id": "node_2474",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 151.42 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.42128485180174,
      "fos_buckling": 0.8259589112289961,
      "fos_yielding": 3.8097714710749666,
      "deflection": 0.015863743418627608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2473",
      "improvement_over_parent": null
    },
    "node_2475": {
      "node_id": "node_2475",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 153.87 kg\n  Factor of Safety: 0.83\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": 153.86915957447044,
      "fos_buckling": 0.8256069731695155,
      "fos_yielding": 3.809639623576922,
      "deflection": 0.013735744684167097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003207)"
      },
      "parent_node_id": "node_2474",
      "improvement_over_parent": null
    },
    "node_2476": {
      "node_id": "node_2476",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 195.79 kg\n  Factor of Safety: 1.01\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": 195.78675044046085,
      "fos_buckling": 1.0144108504111897,
      "fos_yielding": 4.841945214038725,
      "deflection": 0.010839864895531648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2475",
      "improvement_over_parent": null
    },
    "node_2477": {
      "node_id": "node_2477",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.40 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.39723947353474,
      "fos_buckling": 1.5285536187681268,
      "fos_yielding": 4.829242779176109,
      "deflection": 0.011244113760879783,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2476",
      "improvement_over_parent": null
    },
    "node_2478": {
      "node_id": "node_2478",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 353)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 141.15 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.72e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.1475998790861,
      "fos_buckling": 0.23153113497890565,
      "fos_yielding": 1.059925452199331,
      "deflection": 0.047220139470867784,
      "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 4 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 143.15 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.64e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.15460857642066,
      "fos_buckling": 0.23141369150442914,
      "fos_yielding": 1.059744547127665,
      "deflection": 0.04642597865495379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.269)"
      },
      "parent_node_id": "node_2479",
      "improvement_over_parent": null
    },
    "node_2481": {
      "node_id": "node_2481",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 159.27 kg\n  Factor of Safety: 0.25\n  Max Deflection: 4.18e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.27145611932878,
      "fos_buckling": 0.2527505208867577,
      "fos_yielding": 1.1771476094012916,
      "deflection": 0.041787225946571936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2480",
      "improvement_over_parent": null
    },
    "node_2482": {
      "node_id": "node_2482",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 163.48 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.83e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.48359937287898,
      "fos_buckling": 0.2524824005140225,
      "fos_yielding": 1.1758858098076421,
      "deflection": 0.03829713351165081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.453)"
      },
      "parent_node_id": "node_2481",
      "improvement_over_parent": null
    },
    "node_2483": {
      "node_id": "node_2483",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n  Mass: 164.49 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.82e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.49035219683705,
      "fos_buckling": 0.2524397303878233,
      "fos_yielding": 1.263458688335301,
      "deflection": 0.038152688828022155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002216)"
      },
      "parent_node_id": "node_2482",
      "improvement_over_parent": null
    },
    "node_2484": {
      "node_id": "node_2484",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 184.10 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.1013943792158,
      "fos_buckling": 0.2763708384054771,
      "fos_yielding": 1.4108921020493883,
      "deflection": 0.034176681176118696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2483",
      "improvement_over_parent": null
    },
    "node_2485": {
      "node_id": "node_2485",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 189.41 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.4094398562103,
      "fos_buckling": 0.2762481367151315,
      "fos_yielding": 1.3895155191458628,
      "deflection": 0.03379096235678966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2484",
      "improvement_over_parent": null
    },
    "node_2486": {
      "node_id": "node_2486",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5939938711117,
      "fos_buckling": 1.5297551958168842,
      "fos_yielding": 4.83432094603945,
      "deflection": 0.011232825336887227,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2485",
      "improvement_over_parent": null
    },
    "node_2487": {
      "node_id": "node_2487",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2486",
      "improvement_over_parent": null
    },
    "node_2488": {
      "node_id": "node_2488",
      "content": "INITIAL DESIGN (Trace 354)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.54 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.53576340371251,
      "fos_buckling": 0.6118629506819381,
      "fos_yielding": 3.286251064507895,
      "deflection": 0.018858366094743385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2489": {
      "node_id": "node_2489",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 149.31 kg\n  Factor of Safety: 0.71\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": 149.3121957360016,
      "fos_buckling": 0.7076844892974095,
      "fos_yielding": 3.875013124735336,
      "deflection": 0.01601545560562261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2488",
      "improvement_over_parent": null
    },
    "node_2490": {
      "node_id": "node_2490",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 151.77 kg\n  Factor of Safety: 0.34\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": 151.77215233755965,
      "fos_buckling": 0.3442362168416546,
      "fos_yielding": 3.874894898154547,
      "deflection": 0.016105608111256504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003224)"
      },
      "parent_node_id": "node_2489",
      "improvement_over_parent": null
    },
    "node_2491": {
      "node_id": "node_2491",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 192.19 kg\n  Factor of Safety: 0.42\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": 192.18958309598577,
      "fos_buckling": 0.41808411923994043,
      "fos_yielding": 4.900601745450479,
      "deflection": 0.0127909305953415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2490",
      "improvement_over_parent": null
    },
    "node_2492": {
      "node_id": "node_2492",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 201.71 kg\n  Factor of Safety: 1.37\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": 201.7052409129861,
      "fos_buckling": 1.3690287546950328,
      "fos_yielding": 4.834689732104831,
      "deflection": 0.011336501885672447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2491",
      "improvement_over_parent": null
    },
    "node_2493": {
      "node_id": "node_2493",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61803103862388,
      "fos_buckling": 1.5298771785309895,
      "fos_yielding": 4.834753340236385,
      "deflection": 0.011231349416890095,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.488)"
      },
      "parent_node_id": "node_2492",
      "improvement_over_parent": null
    },
    "node_2494": {
      "node_id": "node_2494",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2493",
      "improvement_over_parent": null
    },
    "node_2495": {
      "node_id": "node_2495",
      "content": "INITIAL DESIGN (Trace 355)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 119.71 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.71266660141245,
      "fos_buckling": 0.1700646758168288,
      "fos_yielding": 0.872991984971564,
      "deflection": 0.05455005038529586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2496": {
      "node_id": "node_2496",
      "content": "MODIFICATION: Increase 18 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 121.31 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.31023893730728,
      "fos_buckling": 0.170041701430081,
      "fos_yielding": 0.8728726987462333,
      "deflection": 0.0543809112693615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.222)"
      },
      "parent_node_id": "node_2495",
      "improvement_over_parent": null
    },
    "node_2497": {
      "node_id": "node_2497",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 155.55 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.55036025980488,
      "fos_buckling": 0.2115701309825328,
      "fos_yielding": 1.115293551231146,
      "deflection": 0.04256186193098619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_2496",
      "improvement_over_parent": null
    },
    "node_2498": {
      "node_id": "node_2498",
      "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 157.15 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.14856244085482,
      "fos_buckling": 0.21148482939968788,
      "fos_yielding": 1.13808556383284,
      "deflection": 0.042243474797823734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.222)"
      },
      "parent_node_id": "node_2497",
      "improvement_over_parent": null
    },
    "node_2499": {
      "node_id": "node_2499",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 160.20 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.09e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.20242110428026,
      "fos_buckling": 0.21132202553343418,
      "fos_yielding": 1.1872372671495488,
      "deflection": 0.04094950039143149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.435)"
      },
      "parent_node_id": "node_2498",
      "improvement_over_parent": null
    },
    "node_2500": {
      "node_id": "node_2500",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 173.13 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.12522027174498,
      "fos_buckling": 1.3278488175977197,
      "fos_yielding": 4.120178662639616,
      "deflection": 0.01309985342343915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005982)"
      },
      "parent_node_id": "node_2499",
      "improvement_over_parent": null
    },
    "node_2501": {
      "node_id": "node_2501",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 203.41 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.40575526232954,
      "fos_buckling": 1.522479557743254,
      "fos_yielding": 4.836453189526052,
      "deflection": 0.011200497922354035,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2500",
      "improvement_over_parent": null
    },
    "node_2502": {
      "node_id": "node_2502",
      "content": "MODIFICATION: Increase 18 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0075)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.73 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.7339426124261,
      "fos_buckling": 1.5172418183775025,
      "fos_yielding": 4.8364440567800955,
      "deflection": 0.011152167366540768,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.188)"
      },
      "parent_node_id": "node_2501",
      "improvement_over_parent": null
    },
    "node_2503": {
      "node_id": "node_2503",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2502",
      "improvement_over_parent": null
    },
    "node_2504": {
      "node_id": "node_2504",
      "content": "INITIAL DESIGN (Trace 356)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 162.96 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.9595421361805,
      "fos_buckling": 0.30523783008603406,
      "fos_yielding": 1.2440982610873932,
      "deflection": 0.034162497140821965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2505": {
      "node_id": "node_2505",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 163.85 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.84650430719336,
      "fos_buckling": 0.30516962290953303,
      "fos_yielding": 1.2476904127390926,
      "deflection": 0.034169719867536266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.178)"
      },
      "parent_node_id": "node_2504",
      "improvement_over_parent": null
    },
    "node_2506": {
      "node_id": "node_2506",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 166.59 kg\n  Factor of Safety: 0.31\n  Max Deflection: 3.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.59359736655347,
      "fos_buckling": 0.30502888545323714,
      "fos_yielding": 1.7713971685739816,
      "deflection": 0.032128596759497294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003632)"
      },
      "parent_node_id": "node_2505",
      "improvement_over_parent": null
    },
    "node_2507": {
      "node_id": "node_2507",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n  Mass: 177.61 kg\n  Factor of Safety: 1.37\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": 177.60590460978858,
      "fos_buckling": 1.3694545036827286,
      "fos_yielding": 4.265908215330615,
      "deflection": 0.01275478338179814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005638)"
      },
      "parent_node_id": "node_2506",
      "improvement_over_parent": null
    },
    "node_2508": {
      "node_id": "node_2508",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.40 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.4045904464964,
      "fos_buckling": 1.5228872014790389,
      "fos_yielding": 4.833603647004299,
      "deflection": 0.011287616469203145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2507",
      "improvement_over_parent": null
    },
    "node_2509": {
      "node_id": "node_2509",
      "content": "MODIFICATION: Increase 18 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0096)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 205.93 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.93341833906288,
      "fos_buckling": 1.5324957443996219,
      "fos_yielding": 4.833300963242462,
      "deflection": 0.01111187808245008,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.245)"
      },
      "parent_node_id": "node_2508",
      "improvement_over_parent": null
    },
    "node_2510": {
      "node_id": "node_2510",
      "content": "MODIFICATION: Increase 16 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0096)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 207.21 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 207.21420776627258,
      "fos_buckling": 1.57008566859845,
      "fos_yielding": 4.832523977233186,
      "deflection": 0.011141936875079314,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.199)"
      },
      "parent_node_id": "node_2509",
      "improvement_over_parent": null
    },
    "node_2511": {
      "node_id": "node_2511",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2510",
      "improvement_over_parent": null
    },
    "node_2512": {
      "node_id": "node_2512",
      "content": "INITIAL DESIGN (Trace 357)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 162.93 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.9268270251627,
      "fos_buckling": 1.2474359360998628,
      "fos_yielding": 3.970977129200803,
      "deflection": 0.013842223481689179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2513": {
      "node_id": "node_2513",
      "content": "MODIFICATION: Increase 18 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 164.99 kg\n  Factor of Safety: 1.22\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": 164.99045197386977,
      "fos_buckling": 1.2248368428247813,
      "fos_yielding": 3.969752620935574,
      "deflection": 0.01391570242175148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.443)"
      },
      "parent_node_id": "node_2512",
      "improvement_over_parent": null
    },
    "node_2514": {
      "node_id": "node_2514",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.95 kg\n  Factor of Safety: 1.44\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": 200.94715308487275,
      "fos_buckling": 1.4429550019071415,
      "fos_yielding": 4.829231089153756,
      "deflection": 0.011482650802399446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2513",
      "improvement_over_parent": null
    },
    "node_2515": {
      "node_id": "node_2515",
      "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76009432252727,
      "fos_buckling": 1.5307145320942488,
      "fos_yielding": 4.838053217228459,
      "deflection": 0.011223827047607915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.580)"
      },
      "parent_node_id": "node_2514",
      "improvement_over_parent": null
    },
    "node_2516": {
      "node_id": "node_2516",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2515",
      "improvement_over_parent": null
    },
    "node_2517": {
      "node_id": "node_2517",
      "content": "INITIAL DESIGN (Trace 358)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 114.22 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.22423921238685,
      "fos_buckling": 0.27036158144108047,
      "fos_yielding": 2.874870461095857,
      "deflection": 0.021398314461374277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2518": {
      "node_id": "node_2518",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 137.53 kg\n  Factor of Safety: 0.32\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.5264083027597,
      "fos_buckling": 0.31812868403210903,
      "fos_yielding": 3.459330408175565,
      "deflection": 0.017830613307544683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2517",
      "improvement_over_parent": null
    },
    "node_2519": {
      "node_id": "node_2519",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 174.17 kg\n  Factor of Safety: 0.39\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": 174.1701307483079,
      "fos_buckling": 0.3882832364454083,
      "fos_yielding": 4.377038797476131,
      "deflection": 0.014151219266126657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2518",
      "improvement_over_parent": null
    },
    "node_2520": {
      "node_id": "node_2520",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n  Mass: 182.66 kg\n  Factor of Safety: 1.39\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": 182.66107986162257,
      "fos_buckling": 1.394450357126256,
      "fos_yielding": 4.318584691188102,
      "deflection": 0.012541088785106987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004615)"
      },
      "parent_node_id": "node_2519",
      "improvement_over_parent": null
    },
    "node_2521": {
      "node_id": "node_2521",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.76891608354907,
      "fos_buckling": 1.5308075546916917,
      "fos_yielding": 4.838404971876601,
      "deflection": 0.011223160367174629,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2520",
      "improvement_over_parent": null
    },
    "node_2522": {
      "node_id": "node_2522",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2521",
      "improvement_over_parent": null
    },
    "node_2523": {
      "node_id": "node_2523",
      "content": "INITIAL DESIGN (Trace 359)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 109.22 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.21730705494105,
      "fos_buckling": 0.22528698244343265,
      "fos_yielding": 1.5979741142598427,
      "deflection": 0.043311495002528795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2524": {
      "node_id": "node_2524",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 136.99 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.47e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.9885432793135,
      "fos_buckling": 0.2739115615834582,
      "fos_yielding": 1.9884296560861814,
      "deflection": 0.034708894194922305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2523",
      "improvement_over_parent": null
    },
    "node_2525": {
      "node_id": "node_2525",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n  Mass: 143.82 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.67e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.81973905978924,
      "fos_buckling": 0.2734386753030218,
      "fos_yielding": 1.6351092221593426,
      "deflection": 0.036686494665373506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003297)"
      },
      "parent_node_id": "node_2524",
      "improvement_over_parent": null
    },
    "node_2526": {
      "node_id": "node_2526",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 153.47 kg\n  Factor of Safety: 1.08\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": 153.47028836354195,
      "fos_buckling": 1.0845537788783541,
      "fos_yielding": 3.7477356562426842,
      "deflection": 0.014454731558867095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004890)"
      },
      "parent_node_id": "node_2525",
      "improvement_over_parent": null
    },
    "node_2527": {
      "node_id": "node_2527",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 154.14 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.1398840972846,
      "fos_buckling": 1.0853431388649357,
      "fos_yielding": 3.737316153626325,
      "deflection": 0.014418583223383312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.209)"
      },
      "parent_node_id": "node_2526",
      "improvement_over_parent": null
    },
    "node_2528": {
      "node_id": "node_2528",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 199.60 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.5968538333334,
      "fos_buckling": 1.3705002208051573,
      "fos_yielding": 4.831343531810729,
      "deflection": 0.0112144949103046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2527",
      "improvement_over_parent": null
    },
    "node_2529": {
      "node_id": "node_2529",
      "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0083)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 203.44 kg\n  Factor of Safety: 1.36\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": 203.43643085173932,
      "fos_buckling": 1.3626404546850068,
      "fos_yielding": 4.831308968199376,
      "deflection": 0.011139871233070826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.314)"
      },
      "parent_node_id": "node_2528",
      "improvement_over_parent": null
    },
    "node_2530": {
      "node_id": "node_2530",
      "content": "MODIFICATION: Increase 16 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0067)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0083)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 206.01 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.00796446316042,
      "fos_buckling": 1.4308971242721757,
      "fos_yielding": 4.830120898749957,
      "deflection": 0.011195473200183933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.340)"
      },
      "parent_node_id": "node_2529",
      "improvement_over_parent": null
    },
    "node_2531": {
      "node_id": "node_2531",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2530",
      "improvement_over_parent": null
    },
    "node_2532": {
      "node_id": "node_2532",
      "content": "INITIAL DESIGN (Trace 360)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 198.44 kg\n  Factor of Safety: 1.31\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": 198.44430857957343,
      "fos_buckling": 1.3131985360444247,
      "fos_yielding": 4.810535085221145,
      "deflection": 0.011377672945544384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2533": {
      "node_id": "node_2533",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.23 kg\n  Factor of Safety: 1.30\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": 200.22699623151468,
      "fos_buckling": 1.2991586146043186,
      "fos_yielding": 4.814279155679293,
      "deflection": 0.011090873503631539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.183)"
      },
      "parent_node_id": "node_2532",
      "improvement_over_parent": null
    },
    "node_2534": {
      "node_id": "node_2534",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.56 kg\n  Factor of Safety: 1.30\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": 201.56037075383855,
      "fos_buckling": 1.2977655690084586,
      "fos_yielding": 4.835312114201137,
      "deflection": 0.011010522595927691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.203)"
      },
      "parent_node_id": "node_2533",
      "improvement_over_parent": null
    },
    "node_2535": {
      "node_id": "node_2535",
      "content": "MODIFICATION: Increase 17 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68950746872855,
      "fos_buckling": 1.5303896450859755,
      "fos_yielding": 4.836773691945639,
      "deflection": 0.011227166931463075,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.414)"
      },
      "parent_node_id": "node_2534",
      "improvement_over_parent": null
    },
    "node_2536": {
      "node_id": "node_2536",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2535",
      "improvement_over_parent": null
    },
    "node_2537": {
      "node_id": "node_2537",
      "content": "INITIAL DESIGN (Trace 361)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 155.72 kg\n  Factor of Safety: 1.24\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": 155.7178935760644,
      "fos_buckling": 1.238990899854677,
      "fos_yielding": 3.7736680435245535,
      "deflection": 0.015325689958032322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2538": {
      "node_id": "node_2538",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 175.01 kg\n  Factor of Safety: 1.37\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": 175.00692533698347,
      "fos_buckling": 1.3662947622216537,
      "fos_yielding": 4.238206174472536,
      "deflection": 0.013666394491145189,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2537",
      "improvement_over_parent": null
    },
    "node_2539": {
      "node_id": "node_2539",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.74 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.20e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 199.74354110808667,
      "fos_buckling": 1.5213240497341922,
      "fos_yielding": 4.832958559139486,
      "deflection": 0.012007119216691148,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2538",
      "improvement_over_parent": null
    },
    "node_2540": {
      "node_id": "node_2540",
      "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67649657268694,
      "fos_buckling": 1.530203695143577,
      "fos_yielding": 4.836021197648461,
      "deflection": 0.011227661257620085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.488)"
      },
      "parent_node_id": "node_2539",
      "improvement_over_parent": null
    },
    "node_2541": {
      "node_id": "node_2541",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2540",
      "improvement_over_parent": null
    },
    "node_2542": {
      "node_id": "node_2542",
      "content": "INITIAL DESIGN (Trace 362)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 143.44 kg\n  Factor of Safety: 0.88\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": 143.44369102869712,
      "fos_buckling": 0.8837998639504223,
      "fos_yielding": 3.718993382992923,
      "deflection": 0.0163444344655901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2543": {
      "node_id": "node_2543",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.67 kg\n  Factor of Safety: 1.00\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": 165.66517165760487,
      "fos_buckling": 0.9961645080745165,
      "fos_yielding": 4.294545194057316,
      "deflection": 0.014201408843289302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_2542",
      "improvement_over_parent": null
    },
    "node_2544": {
      "node_id": "node_2544",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.88 kg\n  Factor of Safety: 1.00\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": 165.88031492870005,
      "fos_buckling": 0.9960934103728556,
      "fos_yielding": 4.294545194057316,
      "deflection": 0.014191088777485237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.608)"
      },
      "parent_node_id": "node_2543",
      "improvement_over_parent": null
    },
    "node_2545": {
      "node_id": "node_2545",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 170.30 kg\n  Factor of Safety: 1.32\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": 170.29591102050912,
      "fos_buckling": 1.315166527548883,
      "fos_yielding": 4.02755639571781,
      "deflection": 0.01342744689772355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003451)"
      },
      "parent_node_id": "node_2544",
      "improvement_over_parent": null
    },
    "node_2546": {
      "node_id": "node_2546",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72017995280467,
      "fos_buckling": 1.5305095013430339,
      "fos_yielding": 4.837238318494222,
      "deflection": 0.011225759699090287,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2545",
      "improvement_over_parent": null
    },
    "node_2547": {
      "node_id": "node_2547",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2546",
      "improvement_over_parent": null
    },
    "node_2548": {
      "node_id": "node_2548",
      "content": "INITIAL DESIGN (Trace 363)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 169.77 kg\n  Factor of Safety: 0.52\n  Max Deflection: 4.17e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.77041992625516,
      "fos_buckling": 0.5208410950171092,
      "fos_yielding": 4.507814458305636,
      "deflection": 4166290275002.567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2549": {
      "node_id": "node_2549",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 180.79 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.78607680214213,
      "fos_buckling": 0.338222168317721,
      "fos_yielding": 2.539261040472146,
      "deflection": 0.026531168787892464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2548",
      "improvement_over_parent": null
    },
    "node_2550": {
      "node_id": "node_2550",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 192.21 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.21327696818176,
      "fos_buckling": 0.3372530311840234,
      "fos_yielding": 2.0739422016412368,
      "deflection": 0.02815570860040814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2549",
      "improvement_over_parent": null
    },
    "node_2551": {
      "node_id": "node_2551",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7010840451985,
      "fos_buckling": 1.5303940219462402,
      "fos_yielding": 4.8367893872365615,
      "deflection": 0.011226774662872223,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2550",
      "improvement_over_parent": null
    },
    "node_2552": {
      "node_id": "node_2552",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2551",
      "improvement_over_parent": null
    },
    "node_2553": {
      "node_id": "node_2553",
      "content": "INITIAL DESIGN (Trace 364)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 144.03 kg\n  Factor of Safety: 0.20\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": 144.03421647379562,
      "fos_buckling": 0.2019648256564658,
      "fos_yielding": 3.8143446275174058,
      "deflection": 0.016395086902100255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2554": {
      "node_id": "node_2554",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 153.07 kg\n  Factor of Safety: 0.90\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": 153.0729598545467,
      "fos_buckling": 0.9007182704003064,
      "fos_yielding": 3.82937687151448,
      "deflection": 0.015565654062722806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004440)"
      },
      "parent_node_id": "node_2553",
      "improvement_over_parent": null
    },
    "node_2555": {
      "node_id": "node_2555",
      "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 154.44 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.44061584214984,
      "fos_buckling": 0.9007182704003064,
      "fos_yielding": 3.82937687151448,
      "deflection": 0.015565654062722806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.538)"
      },
      "parent_node_id": "node_2554",
      "improvement_over_parent": null
    },
    "node_2556": {
      "node_id": "node_2556",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 1.09\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": 195.23828498318943,
      "fos_buckling": 1.0934485345364418,
      "fos_yielding": 4.835474648808739,
      "deflection": 0.012386458563278236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2555",
      "improvement_over_parent": null
    },
    "node_2557": {
      "node_id": "node_2557",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70259954524425,
      "fos_buckling": 1.5303442511108751,
      "fos_yielding": 4.836940715801611,
      "deflection": 0.011226565449682296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2556",
      "improvement_over_parent": null
    },
    "node_2558": {
      "node_id": "node_2558",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2557",
      "improvement_over_parent": null
    },
    "node_2559": {
      "node_id": "node_2559",
      "content": "INITIAL DESIGN (Trace 365)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 146.19 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.1935632720745,
      "fos_buckling": 0.5610917143622115,
      "fos_yielding": 2.0804386121297123,
      "deflection": 0.019785951374123707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2560": {
      "node_id": "node_2560",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n  Mass: 150.38 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.38166936103178,
      "fos_buckling": 0.5612912526747773,
      "fos_yielding": 2.0807971525744495,
      "deflection": 0.01842272814951588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003260)"
      },
      "parent_node_id": "node_2559",
      "improvement_over_parent": null
    },
    "node_2561": {
      "node_id": "node_2561",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 190.65 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.65389833409327,
      "fos_buckling": 0.6828773866536949,
      "fos_yielding": 2.6356523537034136,
      "deflection": 0.014603400694552368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2560",
      "improvement_over_parent": null
    },
    "node_2562": {
      "node_id": "node_2562",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 201.67 kg\n  Factor of Safety: 0.90\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": 201.66955520998025,
      "fos_buckling": 0.8991389772868891,
      "fos_yielding": 4.855270902179716,
      "deflection": 0.012397797837224814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2561",
      "improvement_over_parent": null
    },
    "node_2563": {
      "node_id": "node_2563",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.78493310970066,
      "fos_buckling": 1.5309115582321324,
      "fos_yielding": 4.83890800120569,
      "deflection": 0.011222248773343116,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2562",
      "improvement_over_parent": null
    },
    "node_2564": {
      "node_id": "node_2564",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2563",
      "improvement_over_parent": null
    },
    "node_2565": {
      "node_id": "node_2565",
      "content": "INITIAL DESIGN (Trace 366)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 119.77 kg\n  Factor of Safety: 0.78\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": 119.77344942470693,
      "fos_buckling": 0.7816805085576003,
      "fos_yielding": 3.2185586948000315,
      "deflection": 0.02013954290534578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2566": {
      "node_id": "node_2566",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n  Mass: 124.62 kg\n  Factor of Safety: 1.02\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": 124.62322225242544,
      "fos_buckling": 1.0207286795732673,
      "fos_yielding": 3.0189270234186303,
      "deflection": 0.018978189984768384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002843)"
      },
      "parent_node_id": "node_2565",
      "improvement_over_parent": null
    },
    "node_2567": {
      "node_id": "node_2567",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n  Mass: 127.59 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.58563989251387,
      "fos_buckling": 1.0245898316487727,
      "fos_yielding": 3.020842198445879,
      "deflection": 0.01781019444308982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_2566",
      "improvement_over_parent": null
    },
    "node_2568": {
      "node_id": "node_2568",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 164.87 kg\n  Factor of Safety: 1.28\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": 164.8696978742299,
      "fos_buckling": 1.2796729853105266,
      "fos_yielding": 3.8997154111301544,
      "deflection": 0.013858104195742044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2567",
      "improvement_over_parent": null
    },
    "node_2569": {
      "node_id": "node_2569",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.5162707584778,
      "fos_buckling": 1.5292621109418083,
      "fos_yielding": 4.832354060558492,
      "deflection": 0.01123640292566626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2568",
      "improvement_over_parent": null
    },
    "node_2570": {
      "node_id": "node_2570",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2569",
      "improvement_over_parent": null
    },
    "node_2571": {
      "node_id": "node_2571",
      "content": "INITIAL DESIGN (Trace 367)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 131.93 kg\n  Factor of Safety: 0.84\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": 131.93340786970361,
      "fos_buckling": 0.8386212544941339,
      "fos_yielding": 3.265544652786658,
      "deflection": 0.017887268921033934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2572": {
      "node_id": "node_2572",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 162.63 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.62849946686217,
      "fos_buckling": 1.0130711496742277,
      "fos_yielding": 4.019822205991804,
      "deflection": 0.01456607357508646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2571",
      "improvement_over_parent": null
    },
    "node_2573": {
      "node_id": "node_2573",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.48 kg\n  Factor of Safety: 1.19\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": 195.48206551617218,
      "fos_buckling": 1.1913031527122524,
      "fos_yielding": 4.824691483861434,
      "deflection": 0.012166402054449752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2572",
      "improvement_over_parent": null
    },
    "node_2574": {
      "node_id": "node_2574",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.09 kg\n  Factor of Safety: 1.41\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": 199.0855149641452,
      "fos_buckling": 1.4146972262726398,
      "fos_yielding": 4.836285209789384,
      "deflection": 0.011452105011715787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.445)"
      },
      "parent_node_id": "node_2573",
      "improvement_over_parent": null
    },
    "node_2575": {
      "node_id": "node_2575",
      "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.41 kg\n  Factor of Safety: 1.40\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": 199.41136480537256,
      "fos_buckling": 1.3951719249746894,
      "fos_yielding": 4.842094684198464,
      "deflection": 0.011456545712870053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.447)"
      },
      "parent_node_id": "node_2574",
      "improvement_over_parent": null
    },
    "node_2576": {
      "node_id": "node_2576",
      "content": "MODIFICATION: Increase 15 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.96 kg\n  Factor of Safety: 1.55\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.95734222630568,
      "fos_buckling": 1.5535071576013844,
      "fos_yielding": 4.836203066561826,
      "deflection": 0.011400786880494155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.401)"
      },
      "parent_node_id": "node_2575",
      "improvement_over_parent": null
    },
    "node_2577": {
      "node_id": "node_2577",
      "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6586437322201,
      "fos_buckling": 1.5302571026849918,
      "fos_yielding": 4.835951530730957,
      "deflection": 0.011228828348371779,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.258)"
      },
      "parent_node_id": "node_2576",
      "improvement_over_parent": null
    },
    "node_2578": {
      "node_id": "node_2578",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2577",
      "improvement_over_parent": null
    },
    "node_2579": {
      "node_id": "node_2579",
      "content": "INITIAL DESIGN (Trace 368)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.27 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.26574160571052,
      "fos_buckling": 0.2634125381780288,
      "fos_yielding": 3.435333691540455,
      "deflection": 0.019940328907111574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2580": {
      "node_id": "node_2580",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 151.81 kg\n  Factor of Safety: 0.31\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": 151.80621967807826,
      "fos_buckling": 0.31044397380562644,
      "fos_yielding": 4.127266524865863,
      "deflection": 0.016643939725691167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2579",
      "improvement_over_parent": null
    },
    "node_2581": {
      "node_id": "node_2581",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 159.42 kg\n  Factor of Safety: 0.91\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": 159.42167493243502,
      "fos_buckling": 0.913115359399879,
      "fos_yielding": 3.8537489841749064,
      "deflection": 0.014526544639486898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)"
      },
      "parent_node_id": "node_2580",
      "improvement_over_parent": null
    },
    "node_2582": {
      "node_id": "node_2582",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 199.28 kg\n  Factor of Safety: 1.11\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": 199.27737768297203,
      "fos_buckling": 1.1057588889238712,
      "fos_yielding": 4.809611525690425,
      "deflection": 0.011684815380806075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2581",
      "improvement_over_parent": null
    },
    "node_2583": {
      "node_id": "node_2583",
      "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 200.89 kg\n  Factor of Safety: 1.42\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": 200.88657559942095,
      "fos_buckling": 1.4224431164643945,
      "fos_yielding": 4.790078589460997,
      "deflection": 0.011583225933879678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.477)"
      },
      "parent_node_id": "node_2582",
      "improvement_over_parent": null
    },
    "node_2584": {
      "node_id": "node_2584",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 203.61 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.6092645385026,
      "fos_buckling": 1.3224369802607405,
      "fos_yielding": 4.764014656841469,
      "deflection": 0.011178424404051424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.325)"
      },
      "parent_node_id": "node_2583",
      "improvement_over_parent": null
    },
    "node_2585": {
      "node_id": "node_2585",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 203.75 kg\n  Factor of Safety: 1.32\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": 203.74814337650463,
      "fos_buckling": 1.3224526580944471,
      "fos_yielding": 4.764019027883396,
      "deflection": 0.011178578076288416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.264)"
      },
      "parent_node_id": "node_2584",
      "improvement_over_parent": null
    },
    "node_2586": {
      "node_id": "node_2586",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.87479119679125,
      "fos_buckling": 1.5315125188665717,
      "fos_yielding": 4.841190229118071,
      "deflection": 0.011217068063856658,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_2585",
      "improvement_over_parent": null
    },
    "node_2587": {
      "node_id": "node_2587",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2586",
      "improvement_over_parent": null
    },
    "node_2588": {
      "node_id": "node_2588",
      "content": "INITIAL DESIGN (Trace 369)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 150.22 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.22320536619296,
      "fos_buckling": 0.28229017374521614,
      "fos_yielding": 1.748182810391174,
      "deflection": 0.035002072330133506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2589": {
      "node_id": "node_2589",
      "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 151.97 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.51e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.97174727911442,
      "fos_buckling": 0.2821656021869086,
      "fos_yielding": 1.733874852674594,
      "deflection": 0.035098054858802304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.253)"
      },
      "parent_node_id": "node_2588",
      "improvement_over_parent": null
    },
    "node_2590": {
      "node_id": "node_2590",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.26 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.25961215041326,
      "fos_buckling": 0.3373340630336155,
      "fos_yielding": 2.143976972469329,
      "deflection": 0.028352534275084284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2589",
      "improvement_over_parent": null
    },
    "node_2591": {
      "node_id": "node_2591",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.74741922743002,
      "fos_buckling": 1.5268715758044251,
      "fos_yielding": 4.832455224958566,
      "deflection": 0.01158298331315036,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2590",
      "improvement_over_parent": null
    },
    "node_2592": {
      "node_id": "node_2592",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.60069027548664,
      "fos_buckling": 1.5296714316757951,
      "fos_yielding": 4.833936765373689,
      "deflection": 0.011230967417091236,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.238)"
      },
      "parent_node_id": "node_2591",
      "improvement_over_parent": null
    },
    "node_2593": {
      "node_id": "node_2593",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2592",
      "improvement_over_parent": null
    },
    "node_2594": {
      "node_id": "node_2594",
      "content": "INITIAL DESIGN (Trace 370)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 135.69 kg\n  Factor of Safety: 0.84\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": 135.69216202222603,
      "fos_buckling": 0.8368576121705747,
      "fos_yielding": 2.3076029307968944,
      "deflection": 0.01697000208862205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2595": {
      "node_id": "node_2595",
      "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 137.23 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.23140980040355,
      "fos_buckling": 0.8751070559723144,
      "fos_yielding": 3.6718851610500858,
      "deflection": 0.01697000208862205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.629)"
      },
      "parent_node_id": "node_2594",
      "improvement_over_parent": null
    },
    "node_2596": {
      "node_id": "node_2596",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n\nPerformance:\n  Mass: 142.76 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.76219941477322,
      "fos_buckling": 1.084021423478399,
      "fos_yielding": 3.438460367220849,
      "deflection": 0.01602940689319212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003268)"
      },
      "parent_node_id": "node_2595",
      "improvement_over_parent": null
    },
    "node_2597": {
      "node_id": "node_2597",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n  Mass: 169.25 kg\n  Factor of Safety: 1.25\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": 169.24825550668135,
      "fos_buckling": 1.2545822340485062,
      "fos_yielding": 4.072870321312111,
      "deflection": 0.013570861333268147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_2596",
      "improvement_over_parent": null
    },
    "node_2598": {
      "node_id": "node_2598",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 1.45\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": 200.88145714965137,
      "fos_buckling": 1.4460280834389874,
      "fos_yielding": 4.829083392600304,
      "deflection": 0.011484025901276854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2597",
      "improvement_over_parent": null
    },
    "node_2599": {
      "node_id": "node_2599",
      "content": "MODIFICATION: Increase 16 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0090)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 206.44 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.4361521583059,
      "fos_buckling": 1.4768960103060405,
      "fos_yielding": 4.830096688316973,
      "deflection": 0.011712174373674118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.567)"
      },
      "parent_node_id": "node_2598",
      "improvement_over_parent": null
    },
    "node_2600": {
      "node_id": "node_2600",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2599",
      "improvement_over_parent": null
    },
    "node_2601": {
      "node_id": "node_2601",
      "content": "INITIAL DESIGN (Trace 371)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 117.06 kg\n  Factor of Safety: 0.51\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": 117.05524796615705,
      "fos_buckling": 0.5146594824618501,
      "fos_yielding": 2.982961160668636,
      "deflection": 0.018598005122464838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2602": {
      "node_id": "node_2602",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 149.00 kg\n  Factor of Safety: 0.64\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": 148.9965688257296,
      "fos_buckling": 0.6449270784664419,
      "fos_yielding": 3.7928277023511523,
      "deflection": 0.014651583218499879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2601",
      "improvement_over_parent": null
    },
    "node_2603": {
      "node_id": "node_2603",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.89 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": 192.88935043181428,
      "fos_buckling": 0.8165803639271126,
      "fos_yielding": 4.902773594593094,
      "deflection": 0.011360566016201758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2602",
      "improvement_over_parent": null
    },
    "node_2604": {
      "node_id": "node_2604",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 193.61 kg\n  Factor of Safety: 0.82\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": 193.60548225828794,
      "fos_buckling": 0.8167844836786443,
      "fos_yielding": 4.852765836040949,
      "deflection": 0.010998779025515238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2603",
      "improvement_over_parent": null
    },
    "node_2605": {
      "node_id": "node_2605",
      "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 197.58 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.5764812336834,
      "fos_buckling": 0.8165015465649645,
      "fos_yielding": 4.852629770252108,
      "deflection": 0.010886290132939513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.325)"
      },
      "parent_node_id": "node_2604",
      "improvement_over_parent": null
    },
    "node_2606": {
      "node_id": "node_2606",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 206.19 kg\n  Factor of Safety: 1.34\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": 206.1869702667573,
      "fos_buckling": 1.3379409174973225,
      "fos_yielding": 4.838595556831907,
      "deflection": 0.010970242834412539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_2605",
      "improvement_over_parent": null
    },
    "node_2607": {
      "node_id": "node_2607",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2606",
      "improvement_over_parent": null
    },
    "node_2608": {
      "node_id": "node_2608",
      "content": "INITIAL DESIGN (Trace 372)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 133.04 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.03885422780309,
      "fos_buckling": 0.9737466466333069,
      "fos_yielding": 3.144743529077327,
      "deflection": 0.016933732751154746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2609": {
      "node_id": "node_2609",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 133.89 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.8897382607699,
      "fos_buckling": 0.9408868490550444,
      "fos_yielding": 3.136467267712032,
      "deflection": 0.016835378081507726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.211)"
      },
      "parent_node_id": "node_2608",
      "improvement_over_parent": null
    },
    "node_2610": {
      "node_id": "node_2610",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 156.52 kg\n  Factor of Safety: 1.07\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": 156.52023432550246,
      "fos_buckling": 1.0723875204799358,
      "fos_yielding": 3.664263871944337,
      "deflection": 0.014450078711861108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2609",
      "improvement_over_parent": null
    },
    "node_2611": {
      "node_id": "node_2611",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n  Mass: 157.39 kg\n  Factor of Safety: 1.23\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": 157.38635939650132,
      "fos_buckling": 1.2300610171047628,
      "fos_yielding": 3.7234163246326637,
      "deflection": 0.014501617578961885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001884)"
      },
      "parent_node_id": "node_2610",
      "improvement_over_parent": null
    },
    "node_2612": {
      "node_id": "node_2612",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7062695256481,
      "fos_buckling": 1.5304012405231722,
      "fos_yielding": 4.836766922751331,
      "deflection": 0.011226642520609623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2611",
      "improvement_over_parent": null
    },
    "node_2613": {
      "node_id": "node_2613",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2612",
      "improvement_over_parent": null
    },
    "node_2614": {
      "node_id": "node_2614",
      "content": "INITIAL DESIGN (Trace 373)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 128.68 kg\n  Factor of Safety: 0.18\n  Max Deflection: 5.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.67889722869074,
      "fos_buckling": 0.17874601358594522,
      "fos_yielding": 0.9930047847442245,
      "deflection": 0.05725028640380625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2615": {
      "node_id": "node_2615",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 164.52 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.50e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.5234177853174,
      "fos_buckling": 0.22382156889869123,
      "fos_yielding": 1.2638334201541666,
      "deflection": 0.04499189255507327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_2614",
      "improvement_over_parent": null
    },
    "node_2616": {
      "node_id": "node_2616",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 181.92 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.92456696674515,
      "fos_buckling": 0.24496049655644284,
      "fos_yielding": 1.3944041277514139,
      "deflection": 0.04078221910802057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2615",
      "improvement_over_parent": null
    },
    "node_2617": {
      "node_id": "node_2617",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.98 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.9830238249704,
      "fos_buckling": 0.2449604965564433,
      "fos_yielding": 1.391661637530846,
      "deflection": 0.04072954119489014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.244)"
      },
      "parent_node_id": "node_2616",
      "improvement_over_parent": null
    },
    "node_2618": {
      "node_id": "node_2618",
      "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.34 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.91e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.33899196161957,
      "fos_buckling": 0.2764234030514882,
      "fos_yielding": 1.3904707867677752,
      "deflection": 0.039139253195832086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.456)"
      },
      "parent_node_id": "node_2617",
      "improvement_over_parent": null
    },
    "node_2619": {
      "node_id": "node_2619",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 201.52 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.52354597652098,
      "fos_buckling": 0.8988868284929072,
      "fos_yielding": 4.850645962790591,
      "deflection": 0.01240669135949421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2618",
      "improvement_over_parent": null
    },
    "node_2620": {
      "node_id": "node_2620",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6389238762414,
      "fos_buckling": 1.5299866835634017,
      "fos_yielding": 4.834293675812606,
      "deflection": 0.011230400768548268,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2619",
      "improvement_over_parent": null
    },
    "node_2621": {
      "node_id": "node_2621",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2620",
      "improvement_over_parent": null
    },
    "node_2622": {
      "node_id": "node_2622",
      "content": "INITIAL DESIGN (Trace 374)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 170.84 kg\n  Factor of Safety: 1.28\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": 170.8351028003957,
      "fos_buckling": 1.280362143731145,
      "fos_yielding": 4.082087963847551,
      "deflection": 0.013338408371161358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2623": {
      "node_id": "node_2623",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.75 kg\n  Factor of Safety: 1.48\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": 202.74784083071117,
      "fos_buckling": 1.4849694044703814,
      "fos_yielding": 4.839778049770355,
      "deflection": 0.011291767194123604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2622",
      "improvement_over_parent": null
    },
    "node_2624": {
      "node_id": "node_2624",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6983506931495,
      "fos_buckling": 1.53090331365057,
      "fos_yielding": 4.839821221210337,
      "deflection": 0.011228517313589226,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.285)"
      },
      "parent_node_id": "node_2623",
      "improvement_over_parent": null
    },
    "node_2625": {
      "node_id": "node_2625",
      "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8124626444189,
      "fos_buckling": 1.531019305771434,
      "fos_yielding": 4.839530562287068,
      "deflection": 0.011220723080768135,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.208)"
      },
      "parent_node_id": "node_2624",
      "improvement_over_parent": null
    },
    "node_2626": {
      "node_id": "node_2626",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2625",
      "improvement_over_parent": null
    },
    "node_2627": {
      "node_id": "node_2627",
      "content": "INITIAL DESIGN (Trace 375)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 126.06 kg\n  Factor of Safety: 0.50\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": 126.05521388594417,
      "fos_buckling": 0.498752754339479,
      "fos_yielding": 1.943960011238079,
      "deflection": 0.018977569481647798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2628": {
      "node_id": "node_2628",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n  Mass: 126.54 kg\n  Factor of Safety: 0.15\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": 126.54223732617999,
      "fos_buckling": 0.1515785394813669,
      "fos_yielding": 2.584029832694281,
      "deflection": 0.017630330911736655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001318)"
      },
      "parent_node_id": "node_2627",
      "improvement_over_parent": null
    },
    "node_2629": {
      "node_id": "node_2629",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n  Mass: 130.15 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.15234512738203,
      "fos_buckling": 0.16834871338250001,
      "fos_yielding": 2.42990786639633,
      "deflection": 0.017097851977724118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002782)"
      },
      "parent_node_id": "node_2628",
      "improvement_over_parent": null
    },
    "node_2630": {
      "node_id": "node_2630",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n  Mass: 158.20 kg\n  Factor of Safety: 0.20\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": 158.20064960947036,
      "fos_buckling": 0.19980694686871864,
      "fos_yielding": 2.962371133525171,
      "deflection": 0.014101886373628034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2629",
      "improvement_over_parent": null
    },
    "node_2631": {
      "node_id": "node_2631",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 191.64 kg\n  Factor of Safety: 0.24\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": 191.64437210406405,
      "fos_buckling": 0.23507133629726384,
      "fos_yielding": 3.6023536322052103,
      "deflection": 0.011675859632731378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2630",
      "improvement_over_parent": null
    },
    "node_2632": {
      "node_id": "node_2632",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 203.07 kg\n  Factor of Safety: 1.25\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": 203.07157227010367,
      "fos_buckling": 1.2498914864874118,
      "fos_yielding": 3.622611351275667,
      "deflection": 0.011306666804704994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2631",
      "improvement_over_parent": null
    },
    "node_2633": {
      "node_id": "node_2633",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 203.35 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.34537942424646,
      "fos_buckling": 1.2519734398204225,
      "fos_yielding": 3.6286455613319224,
      "deflection": 0.011311128773790688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.381)"
      },
      "parent_node_id": "node_2632",
      "improvement_over_parent": null
    },
    "node_2634": {
      "node_id": "node_2634",
      "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0062)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.65086164368262,
      "fos_buckling": 1.251760724535696,
      "fos_yielding": 3.628029039967171,
      "deflection": 0.011301289507706296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.484)"
      },
      "parent_node_id": "node_2633",
      "improvement_over_parent": null
    },
    "node_2635": {
      "node_id": "node_2635",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2634",
      "improvement_over_parent": null
    },
    "node_2636": {
      "node_id": "node_2636",
      "content": "INITIAL DESIGN (Trace 376)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 147.47 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.4699586310503,
      "fos_buckling": 0.8861760870594549,
      "fos_yielding": 3.756662125180915,
      "deflection": 0.015903613600433686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2637": {
      "node_id": "node_2637",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.19 kg\n  Factor of Safety: 1.09\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": 190.19133357807868,
      "fos_buckling": 1.0943403128309157,
      "fos_yielding": 4.83907882640736,
      "deflection": 0.012407848360565495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_2636",
      "improvement_over_parent": null
    },
    "node_2638": {
      "node_id": "node_2638",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.08 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.07624045370028,
      "fos_buckling": 1.5290566140408348,
      "fos_yielding": 4.8432413205244575,
      "deflection": 0.011339324104646666,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2637",
      "improvement_over_parent": null
    },
    "node_2639": {
      "node_id": "node_2639",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.79237228017394,
      "fos_buckling": 1.5309046243523192,
      "fos_yielding": 4.839098460259622,
      "deflection": 0.011221741916232646,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2638",
      "improvement_over_parent": null
    },
    "node_2640": {
      "node_id": "node_2640",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2639",
      "improvement_over_parent": null
    },
    "node_2641": {
      "node_id": "node_2641",
      "content": "INITIAL DESIGN (Trace 377)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 152.91 kg\n  Factor of Safety: 0.45\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": 152.90905669543895,
      "fos_buckling": 0.45460838224602357,
      "fos_yielding": 3.8462636631509857,
      "deflection": 0.01733386928307086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2642": {
      "node_id": "node_2642",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.05 kg\n  Factor of Safety: 0.55\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": 189.05493673549398,
      "fos_buckling": 0.548379689705012,
      "fos_yielding": 4.748847816266756,
      "deflection": 0.014084945132868074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2641",
      "improvement_over_parent": null
    },
    "node_2643": {
      "node_id": "node_2643",
      "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.23 kg\n  Factor of Safety: 0.68\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": 191.2282675777047,
      "fos_buckling": 0.6825213483507274,
      "fos_yielding": 4.748402462908914,
      "deflection": 0.013626771801788508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.325)"
      },
      "parent_node_id": "node_2642",
      "improvement_over_parent": null
    },
    "node_2644": {
      "node_id": "node_2644",
      "content": "MODIFICATION: Increase 16 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.61 kg\n  Factor of Safety: 0.68\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": 193.6081425150839,
      "fos_buckling": 0.6821093533907245,
      "fos_yielding": 4.74810990167146,
      "deflection": 0.013777723337588681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.289)"
      },
      "parent_node_id": "node_2643",
      "improvement_over_parent": null
    },
    "node_2645": {
      "node_id": "node_2645",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.62379939097087,
      "fos_buckling": 1.529917518090322,
      "fos_yielding": 4.8349397283880595,
      "deflection": 0.011230570814408264,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2644",
      "improvement_over_parent": null
    },
    "node_2646": {
      "node_id": "node_2646",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2645",
      "improvement_over_parent": null
    },
    "node_2647": {
      "node_id": "node_2647",
      "content": "INITIAL DESIGN (Trace 378)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0005)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0017)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 85.06 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.66e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.05525195604748,
      "fos_buckling": 0.6541281147198148,
      "fos_yielding": 2.0646826210564075,
      "deflection": 0.02656692413148641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2648": {
      "node_id": "node_2648",
      "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0005)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 86.12 kg\n  Factor of Safety: 0.67\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 86.1179756519599,
      "fos_buckling": 0.665486378740001,
      "fos_yielding": 2.0666921849210858,
      "deflection": 0.026176248000107056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.305)"
      },
      "parent_node_id": "node_2647",
      "improvement_over_parent": null
    },
    "node_2649": {
      "node_id": "node_2649",
      "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 86.22 kg\n  Factor of Safety: 0.66\n  Max Deflection: 2.61e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 86.2243191166612,
      "fos_buckling": 0.6639089285917051,
      "fos_yielding": 2.066416974761984,
      "deflection": 0.026130061525114275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.558)"
      },
      "parent_node_id": "node_2648",
      "improvement_over_parent": null
    },
    "node_2650": {
      "node_id": "node_2650",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 112.07 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.071606295143,
      "fos_buckling": 0.8441602569900988,
      "fos_yielding": 2.6838389540857186,
      "deflection": 0.02018131214254199,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2649",
      "improvement_over_parent": null
    },
    "node_2651": {
      "node_id": "node_2651",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 145.35 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.35070231769762,
      "fos_buckling": 1.0639736904024608,
      "fos_yielding": 3.477388296789845,
      "deflection": 0.015637774100090148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2650",
      "improvement_over_parent": null
    },
    "node_2652": {
      "node_id": "node_2652",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 146.29 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.28948898865443,
      "fos_buckling": 1.1550363862013409,
      "fos_yielding": 3.4619672964433787,
      "deflection": 0.015576157890133037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.350)"
      },
      "parent_node_id": "node_2651",
      "improvement_over_parent": null
    },
    "node_2653": {
      "node_id": "node_2653",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 168.16 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.16001519011056,
      "fos_buckling": 1.3012372775637226,
      "fos_yielding": 3.9772046543005226,
      "deflection": 0.013593805080657231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2652",
      "improvement_over_parent": null
    },
    "node_2654": {
      "node_id": "node_2654",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7583724273999,
      "fos_buckling": 1.5307221049818884,
      "fos_yielding": 4.838058340240035,
      "deflection": 0.011223769996676515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2653",
      "improvement_over_parent": null
    },
    "node_2655": {
      "node_id": "node_2655",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2654",
      "improvement_over_parent": null
    },
    "node_2656": {
      "node_id": "node_2656",
      "content": "INITIAL DESIGN (Trace 379)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 143.08 kg\n  Factor of Safety: 0.18\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": 143.07767208529418,
      "fos_buckling": 0.1804523899290946,
      "fos_yielding": 3.9826919633211415,
      "deflection": 0.015498531825366542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2657": {
      "node_id": "node_2657",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n  Mass: 151.89 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.892344207388,
      "fos_buckling": 0.936328810726226,
      "fos_yielding": 3.9826919633211415,
      "deflection": 0.015273154954151276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004322)"
      },
      "parent_node_id": "node_2656",
      "improvement_over_parent": null
    },
    "node_2658": {
      "node_id": "node_2658",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 157.89 kg\n  Factor of Safety: 1.23\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": 157.89382502031577,
      "fos_buckling": 1.2334755292536927,
      "fos_yielding": 3.735504126707695,
      "deflection": 0.014455935309616438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003566)"
      },
      "parent_node_id": "node_2657",
      "improvement_over_parent": null
    },
    "node_2659": {
      "node_id": "node_2659",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64741371129418,
      "fos_buckling": 1.5300761253552007,
      "fos_yielding": 4.83555315025532,
      "deflection": 0.011229664202960347,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2658",
      "improvement_over_parent": null
    },
    "node_2660": {
      "node_id": "node_2660",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2659",
      "improvement_over_parent": null
    },
    "node_2661": {
      "node_id": "node_2661",
      "content": "INITIAL DESIGN (Trace 380)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 152.72 kg\n  Factor of Safety: 0.93\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": 152.72168404744792,
      "fos_buckling": 0.9287468757891282,
      "fos_yielding": 4.002211380439276,
      "deflection": 0.01640665678978858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2662": {
      "node_id": "node_2662",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 153.31 kg\n  Factor of Safety: 0.93\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": 153.3085989900801,
      "fos_buckling": 0.9286850965954988,
      "fos_yielding": 4.005408001784048,
      "deflection": 0.016184449960900356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001609)"
      },
      "parent_node_id": "node_2661",
      "improvement_over_parent": null
    },
    "node_2663": {
      "node_id": "node_2663",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 187.21 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.2088245294601,
      "fos_buckling": 1.0944026782866554,
      "fos_yielding": 4.883400963984164,
      "deflection": 0.01330970996641584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2662",
      "improvement_over_parent": null
    },
    "node_2664": {
      "node_id": "node_2664",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 196.67 kg\n  Factor of Safety: 1.42\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": 196.6731390915149,
      "fos_buckling": 1.4221623857551384,
      "fos_yielding": 4.884585892695288,
      "deflection": 0.012062952263526225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2663",
      "improvement_over_parent": null
    },
    "node_2665": {
      "node_id": "node_2665",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 201.39 kg\n  Factor of Safety: 1.44\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": 201.38990660819456,
      "fos_buckling": 1.4357301980208403,
      "fos_yielding": 4.887061628816656,
      "deflection": 0.01132342679181511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.458)"
      },
      "parent_node_id": "node_2664",
      "improvement_over_parent": null
    },
    "node_2666": {
      "node_id": "node_2666",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 202.03 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.0345969359573,
      "fos_buckling": 1.5089958084224646,
      "fos_yielding": 4.8752207252331194,
      "deflection": 0.011299791744041311,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.190)"
      },
      "parent_node_id": "node_2665",
      "improvement_over_parent": null
    },
    "node_2667": {
      "node_id": "node_2667",
      "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.97 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.96783092279753,
      "fos_buckling": 1.5005176535099363,
      "fos_yielding": 4.878780708435825,
      "deflection": 0.011180240529592655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.302)"
      },
      "parent_node_id": "node_2666",
      "improvement_over_parent": null
    },
    "node_2668": {
      "node_id": "node_2668",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 205.98 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.98063290074913,
      "fos_buckling": 1.5235519034846605,
      "fos_yielding": 4.864847090618092,
      "deflection": 0.011153251483781225,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.259)"
      },
      "parent_node_id": "node_2667",
      "improvement_over_parent": null
    },
    "node_2669": {
      "node_id": "node_2669",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 381)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 139.78 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.77824094905887,
      "fos_buckling": 0.33411239627452555,
      "fos_yielding": 3.6631641430974566,
      "deflection": 0.019085355061989977,
      "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: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 143.18 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.18226033228984,
      "fos_buckling": 0.3333464046443059,
      "fos_yielding": 3.6627935752288243,
      "deflection": 0.017095901445737395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.616)"
      },
      "parent_node_id": "node_2670",
      "improvement_over_parent": null
    },
    "node_2672": {
      "node_id": "node_2672",
      "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 144.65 kg\n  Factor of Safety: 0.33\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": 144.65011986876618,
      "fos_buckling": 0.3335154711070587,
      "fos_yielding": 3.6625778496042076,
      "deflection": 0.01691809216199846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.212)"
      },
      "parent_node_id": "node_2671",
      "improvement_over_parent": null
    },
    "node_2673": {
      "node_id": "node_2673",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n\nPerformance:\n  Mass: 151.73 kg\n  Factor of Safety: 1.17\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": 151.73440544373426,
      "fos_buckling": 1.1729900936342976,
      "fos_yielding": 3.6161959755381314,
      "deflection": 0.015001961141468392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003797)"
      },
      "parent_node_id": "node_2672",
      "improvement_over_parent": null
    },
    "node_2674": {
      "node_id": "node_2674",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n  Mass: 171.70 kg\n  Factor of Safety: 1.30\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": 171.7015876894623,
      "fos_buckling": 1.30209128426316,
      "fos_yielding": 4.089695862571623,
      "deflection": 0.013296501659405473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2673",
      "improvement_over_parent": null
    },
    "node_2675": {
      "node_id": "node_2675",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 203.92 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.91708952507284,
      "fos_buckling": 1.4986593188873791,
      "fos_yielding": 4.852466908887014,
      "deflection": 0.011249029170711678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2674",
      "improvement_over_parent": null
    },
    "node_2676": {
      "node_id": "node_2676",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7936710367752,
      "fos_buckling": 1.5309198107228665,
      "fos_yielding": 4.8388079535377875,
      "deflection": 0.01122161001560816,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.217)"
      },
      "parent_node_id": "node_2675",
      "improvement_over_parent": null
    },
    "node_2677": {
      "node_id": "node_2677",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2676",
      "improvement_over_parent": null
    },
    "node_2678": {
      "node_id": "node_2678",
      "content": "INITIAL DESIGN (Trace 382)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_2679": {
      "node_id": "node_2679",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n  Mass: 156.76 kg\n  Factor of Safety: 0.62\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": 156.7603621548958,
      "fos_buckling": 0.6247615734279386,
      "fos_yielding": 4.245351147144661,
      "deflection": 0.015016837819485167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001765)"
      },
      "parent_node_id": "node_2678",
      "improvement_over_parent": null
    },
    "node_2680": {
      "node_id": "node_2680",
      "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n  Mass: 163.07 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.0683835280866,
      "fos_buckling": 0.6244265141727448,
      "fos_yielding": 4.245119829938831,
      "deflection": 0.014856797970270716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.582)"
      },
      "parent_node_id": "node_2679",
      "improvement_over_parent": null
    },
    "node_2681": {
      "node_id": "node_2681",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n  Mass: 166.36 kg\n  Factor of Safety: 0.62\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": 166.36350133284807,
      "fos_buckling": 0.623902162275279,
      "fos_yielding": 4.244757381497691,
      "deflection": 0.014011531688865732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_2680",
      "improvement_over_parent": null
    },
    "node_2682": {
      "node_id": "node_2682",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 176.57 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.56693679840023,
      "fos_buckling": 0.6222840611428571,
      "fos_yielding": 4.12920660242312,
      "deflection": 0.015210550799702474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005061)"
      },
      "parent_node_id": "node_2681",
      "improvement_over_parent": null
    },
    "node_2683": {
      "node_id": "node_2683",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n  Mass: 186.40 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.40270436521854,
      "fos_buckling": 1.3097250678632684,
      "fos_yielding": 4.322950553406473,
      "deflection": 0.012311562710407845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004969)"
      },
      "parent_node_id": "node_2682",
      "improvement_over_parent": null
    },
    "node_2684": {
      "node_id": "node_2684",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0100)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 208.50 kg\n  Factor of Safety: 1.44\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": 208.50397914650412,
      "fos_buckling": 1.441154948996247,
      "fos_yielding": 4.8355159465424595,
      "deflection": 0.011038006642620815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2683",
      "improvement_over_parent": null
    },
    "node_2685": {
      "node_id": "node_2685",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2684",
      "improvement_over_parent": null
    },
    "node_2686": {
      "node_id": "node_2686",
      "content": "INITIAL DESIGN (Trace 383)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 171.91 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.91493950642118,
      "fos_buckling": 0.6198633152369464,
      "fos_yielding": 3.4642192154134754,
      "deflection": 0.015877759816987275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2687": {
      "node_id": "node_2687",
      "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 172.14 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.13945819617803,
      "fos_buckling": 0.6198161524574108,
      "fos_yielding": 4.224048862525669,
      "deflection": 0.015452351008344948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.590)"
      },
      "parent_node_id": "node_2686",
      "improvement_over_parent": null
    },
    "node_2688": {
      "node_id": "node_2688",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.76 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.75773819553774,
      "fos_buckling": 0.6824791566645645,
      "fos_yielding": 4.751680574692301,
      "deflection": 0.013767371453508873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2687",
      "improvement_over_parent": null
    },
    "node_2689": {
      "node_id": "node_2689",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77339507142472,
      "fos_buckling": 1.5308500828847633,
      "fos_yielding": 4.838563383600667,
      "deflection": 0.011222919917432829,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2688",
      "improvement_over_parent": null
    },
    "node_2690": {
      "node_id": "node_2690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 384)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 147.98 kg\n  Factor of Safety: 0.18\n  Max Deflection: 4.54e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.98144436896612,
      "fos_buckling": 0.17840784195513087,
      "fos_yielding": 1.103029652536636,
      "deflection": 0.04536186866150855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2692": {
      "node_id": "node_2692",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 187.38 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.60e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.38080208650615,
      "fos_buckling": 0.21955251110248014,
      "fos_yielding": 1.389959109534919,
      "deflection": 0.03596148434437338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2691",
      "improvement_over_parent": null
    },
    "node_2693": {
      "node_id": "node_2693",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.57 kg\n  Factor of Safety: 1.49\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": 202.56535610140756,
      "fos_buckling": 1.4920998196969812,
      "fos_yielding": 4.835970103922658,
      "deflection": 0.011181534008702365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_2692",
      "improvement_over_parent": null
    },
    "node_2694": {
      "node_id": "node_2694",
      "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0085)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 206.76 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.75655986574927,
      "fos_buckling": 1.484037142541864,
      "fos_yielding": 4.835938675165959,
      "deflection": 0.011101711902916804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.344)"
      },
      "parent_node_id": "node_2693",
      "improvement_over_parent": null
    },
    "node_2695": {
      "node_id": "node_2695",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 385)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 111.05 kg\n  Factor of Safety: 0.16\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": 111.05381341437116,
      "fos_buckling": 0.1557648824234204,
      "fos_yielding": 2.8495004625031974,
      "deflection": 0.02070926292305141,
      "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 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n  Mass: 117.80 kg\n  Factor of Safety: 0.85\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": 117.80034588842501,
      "fos_buckling": 0.8450174028388934,
      "fos_yielding": 2.8630645131780796,
      "deflection": 0.01980647381333036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003254)"
      },
      "parent_node_id": "node_2696",
      "improvement_over_parent": null
    },
    "node_2698": {
      "node_id": "node_2698",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n  Mass: 119.63 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.6260663115935,
      "fos_buckling": 0.9254370616524901,
      "fos_yielding": 2.861792413825833,
      "deflection": 0.018901350860397285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.269)"
      },
      "parent_node_id": "node_2697",
      "improvement_over_parent": null
    },
    "node_2699": {
      "node_id": "node_2699",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n  Mass: 148.69 kg\n  Factor of Safety: 1.13\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": 148.687625443744,
      "fos_buckling": 1.127380514742604,
      "fos_yielding": 3.5538368830204004,
      "deflection": 0.015272686737516231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2698",
      "improvement_over_parent": null
    },
    "node_2700": {
      "node_id": "node_2700",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n  Mass: 150.19 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.18857671953816,
      "fos_buckling": 1.1816495623172407,
      "fos_yielding": 3.5538759879042416,
      "deflection": 0.01518084763039353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.294)"
      },
      "parent_node_id": "node_2699",
      "improvement_over_parent": null
    },
    "node_2701": {
      "node_id": "node_2701",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n  Mass: 184.35 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.35343985250347,
      "fos_buckling": 1.4051695259057368,
      "fos_yielding": 4.358318389321637,
      "deflection": 0.01242939798081608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2700",
      "improvement_over_parent": null
    },
    "node_2702": {
      "node_id": "node_2702",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6525825353483,
      "fos_buckling": 1.5301485468726113,
      "fos_yielding": 4.835583020691083,
      "deflection": 0.011229679554274794,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2701",
      "improvement_over_parent": null
    },
    "node_2703": {
      "node_id": "node_2703",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 386)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.88 kg\n  Factor of Safety: 0.96\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": 192.87940373437246,
      "fos_buckling": 0.9586842820479304,
      "fos_yielding": 4.847376233896947,
      "deflection": 0.013359436018941379,
      "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 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 195.76 kg\n  Factor of Safety: 0.95\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": 195.76497607824922,
      "fos_buckling": 0.9536470601083882,
      "fos_yielding": 4.847236714571681,
      "deflection": 0.013360556853807845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.553)"
      },
      "parent_node_id": "node_2704",
      "improvement_over_parent": null
    },
    "node_2706": {
      "node_id": "node_2706",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.61 kg\n  Factor of Safety: 0.95\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": 197.60668651471326,
      "fos_buckling": 0.9494557890610392,
      "fos_yielding": 4.851519007479005,
      "deflection": 0.013206327824134407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.190)"
      },
      "parent_node_id": "node_2705",
      "improvement_over_parent": null
    },
    "node_2707": {
      "node_id": "node_2707",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 200.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.18e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.72206441443367,
      "fos_buckling": 1.5261236380586793,
      "fos_yielding": 4.834522471576587,
      "deflection": 0.011769271105639299,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2706",
      "improvement_over_parent": null
    },
    "node_2708": {
      "node_id": "node_2708",
      "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69326205324253,
      "fos_buckling": 1.530400943681379,
      "fos_yielding": 4.836790828933991,
      "deflection": 0.011227057083172124,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.362)"
      },
      "parent_node_id": "node_2707",
      "improvement_over_parent": null
    },
    "node_2709": {
      "node_id": "node_2709",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2708",
      "improvement_over_parent": null
    },
    "node_2710": {
      "node_id": "node_2710",
      "content": "INITIAL DESIGN (Trace 387)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 147.44 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.4429062672274,
      "fos_buckling": 0.43048215005107776,
      "fos_yielding": 2.933807683059716,
      "deflection": 0.021610047324768553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2711": {
      "node_id": "node_2711",
      "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 150.32 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.31799429479162,
      "fos_buckling": 0.43037691288518337,
      "fos_yielding": 2.933422274060003,
      "deflection": 0.021543038307733017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.587)"
      },
      "parent_node_id": "node_2710",
      "improvement_over_parent": null
    },
    "node_2712": {
      "node_id": "node_2712",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 153.87 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.87292212247613,
      "fos_buckling": 0.43024686258780936,
      "fos_yielding": 2.9329458717045784,
      "deflection": 0.02154845553107305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.445)"
      },
      "parent_node_id": "node_2711",
      "improvement_over_parent": null
    },
    "node_2713": {
      "node_id": "node_2713",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 179.42 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.42015521465987,
      "fos_buckling": 0.4879302327561597,
      "fos_yielding": 3.4140239015990677,
      "deflection": 0.01852906152120985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2712",
      "improvement_over_parent": null
    },
    "node_2714": {
      "node_id": "node_2714",
      "content": "MODIFICATION: Increase 18 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 181.96 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.96343443912315,
      "fos_buckling": 0.4877548751196607,
      "fos_yielding": 3.41336385401321,
      "deflection": 0.01851951626552244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.460)"
      },
      "parent_node_id": "node_2713",
      "improvement_over_parent": null
    },
    "node_2715": {
      "node_id": "node_2715",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.81164592810165,
      "fos_buckling": 1.5302446436617538,
      "fos_yielding": 4.832703810102543,
      "deflection": 0.011333882493445083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_2714",
      "improvement_over_parent": null
    },
    "node_2716": {
      "node_id": "node_2716",
      "content": "MODIFICATION: Increase 16 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67709415634434,
      "fos_buckling": 1.5304415980981894,
      "fos_yielding": 4.83629914793486,
      "deflection": 0.011227920620698412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.224)"
      },
      "parent_node_id": "node_2715",
      "improvement_over_parent": null
    },
    "node_2717": {
      "node_id": "node_2717",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2716",
      "improvement_over_parent": null
    },
    "node_2718": {
      "node_id": "node_2718",
      "content": "INITIAL DESIGN (Trace 388)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 137.14 kg\n  Factor of Safety: 0.15\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": 137.13797362639588,
      "fos_buckling": 0.14655272635050928,
      "fos_yielding": 1.3980531056113963,
      "deflection": 40741661358597.93,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2719": {
      "node_id": "node_2719",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 162.49 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.03e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.48656708554049,
      "fos_buckling": 1.2622017634702096,
      "fos_yielding": 5.647169731738604,
      "deflection": 10267565434731.883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2718",
      "improvement_over_parent": null
    },
    "node_2720": {
      "node_id": "node_2720",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 172.00 kg\n  Factor of Safety: 0.49\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.00222490254083,
      "fos_buckling": 0.48792292229350387,
      "fos_yielding": 2.8871202614693727,
      "deflection": 0.02305234625203403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2719",
      "improvement_over_parent": null
    },
    "node_2721": {
      "node_id": "node_2721",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 183.02 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.0178817784278,
      "fos_buckling": 0.48746724671007036,
      "fos_yielding": 3.411073157739949,
      "deflection": 0.018535663913499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2720",
      "improvement_over_parent": null
    },
    "node_2722": {
      "node_id": "node_2722",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.8660932674063,
      "fos_buckling": 1.5284044655332358,
      "fos_yielding": 4.837387705642378,
      "deflection": 0.011351205511966592,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_2721",
      "improvement_over_parent": null
    },
    "node_2723": {
      "node_id": "node_2723",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.58222509387997,
      "fos_buckling": 1.5302516053667279,
      "fos_yielding": 4.833249069250219,
      "deflection": 0.011233512093247633,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2722",
      "improvement_over_parent": null
    },
    "node_2724": {
      "node_id": "node_2724",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 389)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n\nPerformance:\n  Mass: 125.37 kg\n  Factor of Safety: 0.19\n  Max Deflection: 4.56e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.365999888836,
      "fos_buckling": 0.1894602199021682,
      "fos_yielding": 0.9860844127543579,
      "deflection": 45629006540397.12,
      "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: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 142.26 kg\n  Factor of Safety: 0.21\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": 142.25963703289958,
      "fos_buckling": 0.20642630052436323,
      "fos_yielding": 3.9072257613354924,
      "deflection": 0.016582079382822867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006155)"
      },
      "parent_node_id": "node_2725",
      "improvement_over_parent": null
    },
    "node_2727": {
      "node_id": "node_2727",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n  Mass: 151.52 kg\n  Factor of Safety: 0.92\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": 151.51968221106065,
      "fos_buckling": 0.9200062442713058,
      "fos_yielding": 3.924237211992689,
      "deflection": 0.015092710548253752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004557)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 186.90 kg\n  Factor of Safety: 1.09\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": 186.9016449056105,
      "fos_buckling": 1.0938454712503523,
      "fos_yielding": 4.834348468264792,
      "deflection": 0.012304592487578255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_2727",
      "improvement_over_parent": null
    },
    "node_2729": {
      "node_id": "node_2729",
      "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 188.06 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.06380664925877,
      "fos_buckling": 1.0936299866189014,
      "fos_yielding": 4.833913477545377,
      "deflection": 0.01232079925850042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.653)"
      },
      "parent_node_id": "node_2728",
      "improvement_over_parent": null
    },
    "node_2730": {
      "node_id": "node_2730",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.95 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.94871352488036,
      "fos_buckling": 1.468053821725917,
      "fos_yielding": 4.835007591070986,
      "deflection": 0.011168514880965893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2729",
      "improvement_over_parent": null
    },
    "node_2731": {
      "node_id": "node_2731",
      "content": "MODIFICATION: Increase 18 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0114)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 210.59 kg\n  Factor of Safety: 1.48\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.58704913090773,
      "fos_buckling": 1.482020416235332,
      "fos_yielding": 4.834470429210777,
      "deflection": 0.010873801737022279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.479)"
      },
      "parent_node_id": "node_2730",
      "improvement_over_parent": null
    },
    "node_2732": {
      "node_id": "node_2732",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2731",
      "improvement_over_parent": null
    },
    "node_2733": {
      "node_id": "node_2733",
      "content": "INITIAL DESIGN (Trace 390)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 144.26 kg\n  Factor of Safety: 0.22\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": 144.25691999480378,
      "fos_buckling": 0.221966033559051,
      "fos_yielding": 3.740263183705275,
      "deflection": 0.016665682868161707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2734": {
      "node_id": "node_2734",
      "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 144.37 kg\n  Factor of Safety: 0.26\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.36951102501243,
      "fos_buckling": 0.257408109529392,
      "fos_yielding": 3.740253321534198,
      "deflection": 0.016488098577592508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.279)"
      },
      "parent_node_id": "node_2733",
      "improvement_over_parent": null
    },
    "node_2735": {
      "node_id": "node_2735",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 145.24 kg\n  Factor of Safety: 0.26\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": 145.24158823815137,
      "fos_buckling": 0.25743183769325884,
      "fos_yielding": 3.729174635199776,
      "deflection": 0.01645403538482861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.295)"
      },
      "parent_node_id": "node_2734",
      "improvement_over_parent": null
    },
    "node_2736": {
      "node_id": "node_2736",
      "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 148.28 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.2839487272021,
      "fos_buckling": 0.33936286226655515,
      "fos_yielding": 3.728963522173247,
      "deflection": 0.016561203787575716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.577)"
      },
      "parent_node_id": "node_2735",
      "improvement_over_parent": null
    },
    "node_2737": {
      "node_id": "node_2737",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n\nPerformance:\n  Mass: 155.51 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.5128957738009,
      "fos_buckling": 1.2175564475999598,
      "fos_yielding": 3.6794475045982473,
      "deflection": 0.014671415877409619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003880)"
      },
      "parent_node_id": "node_2736",
      "improvement_over_parent": null
    },
    "node_2738": {
      "node_id": "node_2738",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n  Mass: 172.22 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.224901620475,
      "fos_buckling": 1.3276963082468807,
      "fos_yielding": 4.0730288432399595,
      "deflection": 0.01328018239310896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2737",
      "improvement_over_parent": null
    },
    "node_2739": {
      "node_id": "node_2739",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.84 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8386956666374,
      "fos_buckling": 1.5312431399344175,
      "fos_yielding": 4.840095174275168,
      "deflection": 0.011218949467735117,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2738",
      "improvement_over_parent": null
    },
    "node_2740": {
      "node_id": "node_2740",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2739",
      "improvement_over_parent": null
    },
    "node_2741": {
      "node_id": "node_2741",
      "content": "INITIAL DESIGN (Trace 391)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 117.11 kg\n  Factor of Safety: 0.20\n  Max Deflection: 9.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.1123121231471,
      "fos_buckling": 0.1965246074625646,
      "fos_yielding": 0.4355978581753069,
      "deflection": 0.09496176756226576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2742": {
      "node_id": "node_2742",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 127.17 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.17027452527684,
      "fos_buckling": 0.23937977556170992,
      "fos_yielding": 1.3884380740050042,
      "deflection": 0.04273793217239898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004575)"
      },
      "parent_node_id": "node_2741",
      "improvement_over_parent": null
    },
    "node_2743": {
      "node_id": "node_2743",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 153.46 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.56e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.45577674405075,
      "fos_buckling": 0.28098217274581494,
      "fos_yielding": 1.6681552670783706,
      "deflection": 0.035559701094227326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2742",
      "improvement_over_parent": null
    },
    "node_2744": {
      "node_id": "node_2744",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 163.44 kg\n  Factor of Safety: 1.27\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": 163.44412005175244,
      "fos_buckling": 1.2714155034863621,
      "fos_yielding": 3.866618325422725,
      "deflection": 0.013958329700735676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005074)"
      },
      "parent_node_id": "node_2743",
      "improvement_over_parent": null
    },
    "node_2745": {
      "node_id": "node_2745",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.53564648960284,
      "fos_buckling": 1.530653765272115,
      "fos_yielding": 4.833391888271031,
      "deflection": 0.01122136348424921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2744",
      "improvement_over_parent": null
    },
    "node_2746": {
      "node_id": "node_2746",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0052)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 205.21 kg\n  Factor of Safety: 1.54\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.209849007185,
      "fos_buckling": 1.5436751819978891,
      "fos_yielding": 4.832867576264371,
      "deflection": 0.011215298986206913,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.244)"
      },
      "parent_node_id": "node_2745",
      "improvement_over_parent": null
    },
    "node_2747": {
      "node_id": "node_2747",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2746",
      "improvement_over_parent": null
    },
    "node_2748": {
      "node_id": "node_2748",
      "content": "INITIAL DESIGN (Trace 392)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 148.14 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.1353415973759,
      "fos_buckling": 0.37276414851008266,
      "fos_yielding": 3.2946087258201624,
      "deflection": 0.019761393667490686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2749": {
      "node_id": "node_2749",
      "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 150.35 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.3528416041471,
      "fos_buckling": 0.37255771580618,
      "fos_yielding": 3.2937697067466614,
      "deflection": 0.01839605166478071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.600)"
      },
      "parent_node_id": "node_2748",
      "improvement_over_parent": null
    },
    "node_2750": {
      "node_id": "node_2750",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 160.32 kg\n  Factor of Safety: 1.27\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": 160.32091776068626,
      "fos_buckling": 1.2654617602173017,
      "fos_yielding": 3.8555285975238296,
      "deflection": 0.014190134906300162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004676)"
      },
      "parent_node_id": "node_2749",
      "improvement_over_parent": null
    },
    "node_2751": {
      "node_id": "node_2751",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 201.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.8294288103993,
      "fos_buckling": 1.5258867531513831,
      "fos_yielding": 4.847348511581638,
      "deflection": 0.011340631482292082,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2750",
      "improvement_over_parent": null
    },
    "node_2752": {
      "node_id": "node_2752",
      "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 206.57 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.5739113260111,
      "fos_buckling": 1.5232611621772263,
      "fos_yielding": 4.847525644720723,
      "deflection": 0.011259087138528745,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.391)"
      },
      "parent_node_id": "node_2751",
      "improvement_over_parent": null
    },
    "node_2753": {
      "node_id": "node_2753",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 207.29 kg\n  Factor of Safety: 1.48\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": 207.29004315248477,
      "fos_buckling": 1.4760007735710072,
      "fos_yielding": 4.840837514926402,
      "deflection": 0.011077955114008883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2752",
      "improvement_over_parent": null
    },
    "node_2754": {
      "node_id": "node_2754",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2753",
      "improvement_over_parent": null
    },
    "node_2755": {
      "node_id": "node_2755",
      "content": "INITIAL DESIGN (Trace 393)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 166.89 kg\n  Factor of Safety: 1.27\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": 166.88828061700417,
      "fos_buckling": 1.2688252095694026,
      "fos_yielding": 4.020011635241645,
      "deflection": 0.013594263251327381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2756": {
      "node_id": "node_2756",
      "content": "MODIFICATION: Increase 19 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 169.76 kg\n  Factor of Safety: 1.31\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": 169.7591823290337,
      "fos_buckling": 1.3127707329500622,
      "fos_yielding": 4.020089989120709,
      "deflection": 0.013476622767578232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.357)"
      },
      "parent_node_id": "node_2755",
      "improvement_over_parent": null
    },
    "node_2757": {
      "node_id": "node_2757",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.39 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.3892431430348,
      "fos_buckling": 1.529722158821412,
      "fos_yielding": 4.835601835435041,
      "deflection": 0.011249536012301194,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_2756",
      "improvement_over_parent": null
    },
    "node_2758": {
      "node_id": "node_2758",
      "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.62765362367858,
      "fos_buckling": 1.5300024890950517,
      "fos_yielding": 4.834916585077056,
      "deflection": 0.01123090407348123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.548)"
      },
      "parent_node_id": "node_2757",
      "improvement_over_parent": null
    },
    "node_2759": {
      "node_id": "node_2759",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2758",
      "improvement_over_parent": null
    },
    "node_2760": {
      "node_id": "node_2760",
      "content": "INITIAL DESIGN (Trace 394)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 149.33 kg\n  Factor of Safety: 0.17\n  Max Deflection: 4.12e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.33049655648466,
      "fos_buckling": 0.1695060096157983,
      "fos_yielding": 0.9860844127543579,
      "deflection": 41244004693508.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2761": {
      "node_id": "node_2761",
      "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 151.22 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.82e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.21790833057184,
      "fos_buckling": 0.48742823226669346,
      "fos_yielding": 3.9443376510174306,
      "deflection": 18160754915810.086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.208)"
      },
      "parent_node_id": "node_2760",
      "improvement_over_parent": null
    },
    "node_2762": {
      "node_id": "node_2762",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.91 kg\n  Factor of Safety: 0.50\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": 179.90759223046913,
      "fos_buckling": 0.5030588228571846,
      "fos_yielding": 2.3160313801933565,
      "deflection": 10552869003849.031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2761",
      "improvement_over_parent": null
    },
    "node_2763": {
      "node_id": "node_2763",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 181.15 kg\n  Factor of Safety: 0.13\n  Max Deflection: 3.69e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.1459794942913,
      "fos_buckling": 0.12576470571429615,
      "fos_yielding": 1.2701266789633001,
      "deflection": 36882958889045.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.186)"
      },
      "parent_node_id": "node_2762",
      "improvement_over_parent": null
    },
    "node_2764": {
      "node_id": "node_2764",
      "content": "MODIFICATION: Increase 16 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.26 kg\n  Factor of Safety: 0.34\n  Max Deflection: 6.89e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.26327969988088,
      "fos_buckling": 0.33537254857145643,
      "fos_yielding": 4.747457104299941,
      "deflection": 6893871483954.361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.621)"
      },
      "parent_node_id": "node_2763",
      "improvement_over_parent": null
    },
    "node_2765": {
      "node_id": "node_2765",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n  Mass: 193.15 kg\n  Factor of Safety: 0.43\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": 193.15226997845062,
      "fos_buckling": 0.4255683903260175,
      "fos_yielding": 4.905253836426449,
      "deflection": 0.012978011031884371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004454)"
      },
      "parent_node_id": "node_2764",
      "improvement_over_parent": null
    },
    "node_2766": {
      "node_id": "node_2766",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 202.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.66792779545096,
      "fos_buckling": 1.5307282916491696,
      "fos_yielding": 4.834919384779075,
      "deflection": 0.011345451385147353,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2765",
      "improvement_over_parent": null
    },
    "node_2767": {
      "node_id": "node_2767",
      "content": "MODIFICATION: Increase 16 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0063)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.67462025302365,
      "fos_buckling": 1.5289808381490895,
      "fos_yielding": 4.83397965704898,
      "deflection": 0.011380948461846488,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.263)"
      },
      "parent_node_id": "node_2766",
      "improvement_over_parent": null
    },
    "node_2768": {
      "node_id": "node_2768",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 395)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.91 kg\n  Factor of Safety: 1.28\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": 197.91392934023065,
      "fos_buckling": 1.2783335013757495,
      "fos_yielding": 4.835551430919427,
      "deflection": 0.01180806899035872,
      "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: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.32 kg\n  Factor of Safety: 1.43\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": 200.32137922884866,
      "fos_buckling": 1.431863343299144,
      "fos_yielding": 4.868332273800951,
      "deflection": 0.01166800971362228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.261)"
      },
      "parent_node_id": "node_2769",
      "improvement_over_parent": null
    },
    "node_2771": {
      "node_id": "node_2771",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.72 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.71599137606543,
      "fos_buckling": 1.5239848303479337,
      "fos_yielding": 4.845129870630993,
      "deflection": 0.011622362494004163,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.391)"
      },
      "parent_node_id": "node_2770",
      "improvement_over_parent": null
    },
    "node_2772": {
      "node_id": "node_2772",
      "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69330560798412,
      "fos_buckling": 1.5303951098648176,
      "fos_yielding": 4.836733350776679,
      "deflection": 0.011227329155563522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.366)"
      },
      "parent_node_id": "node_2771",
      "improvement_over_parent": null
    },
    "node_2773": {
      "node_id": "node_2773",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2772",
      "improvement_over_parent": null
    },
    "node_2774": {
      "node_id": "node_2774",
      "content": "INITIAL DESIGN (Trace 396)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 162.40 kg\n  Factor of Safety: 0.60\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": 162.40339706274736,
      "fos_buckling": 0.5987682884732489,
      "fos_yielding": 4.019266742305038,
      "deflection": 0.016252115897346743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2775": {
      "node_id": "node_2775",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 165.17 kg\n  Factor of Safety: 0.60\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": 165.1707917697006,
      "fos_buckling": 0.5989087671733331,
      "fos_yielding": 4.053847198107157,
      "deflection": 0.016090061341459422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.377)"
      },
      "parent_node_id": "node_2774",
      "improvement_over_parent": null
    },
    "node_2776": {
      "node_id": "node_2776",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.59 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.59215788237913,
      "fos_buckling": 0.682014516065177,
      "fos_yielding": 4.74765968125088,
      "deflection": 0.013779308673363418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2775",
      "improvement_over_parent": null
    },
    "node_2777": {
      "node_id": "node_2777",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6078147582661,
      "fos_buckling": 1.5298039712535394,
      "fos_yielding": 4.834485101054809,
      "deflection": 0.01123177194958739,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2776",
      "improvement_over_parent": null
    },
    "node_2778": {
      "node_id": "node_2778",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2777",
      "improvement_over_parent": null
    },
    "node_2779": {
      "node_id": "node_2779",
      "content": "INITIAL DESIGN (Trace 397)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 157.86 kg\n  Factor of Safety: 1.26\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": 157.85931540946564,
      "fos_buckling": 1.2582982286326234,
      "fos_yielding": 3.8226394833643753,
      "deflection": 0.014435726000164474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2780": {
      "node_id": "node_2780",
      "content": "MODIFICATION: Increase 18 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 159.65 kg\n  Factor of Safety: 1.26\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": 159.6488296253163,
      "fos_buckling": 1.2560215060801583,
      "fos_yielding": 3.8214410232099567,
      "deflection": 0.0145073801770155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.383)"
      },
      "parent_node_id": "node_2779",
      "improvement_over_parent": null
    },
    "node_2781": {
      "node_id": "node_2781",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.15e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.44939369789856,
      "fos_buckling": 1.5290399023865662,
      "fos_yielding": 4.839246994101127,
      "deflection": 0.011506967065077766,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2780",
      "improvement_over_parent": null
    },
    "node_2782": {
      "node_id": "node_2782",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.86620181660882,
      "fos_buckling": 1.531333277905615,
      "fos_yielding": 4.840459834802206,
      "deflection": 0.01121806520104356,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.195)"
      },
      "parent_node_id": "node_2781",
      "improvement_over_parent": null
    },
    "node_2783": {
      "node_id": "node_2783",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2782",
      "improvement_over_parent": null
    },
    "node_2784": {
      "node_id": "node_2784",
      "content": "INITIAL DESIGN (Trace 398)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.64 kg\n  Factor of Safety: 1.42\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": 197.6438544172997,
      "fos_buckling": 1.420359924455315,
      "fos_yielding": 4.785336204492709,
      "deflection": 0.011592245591741589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2785": {
      "node_id": "node_2785",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.82 kg\n  Factor of Safety: 1.42\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": 197.81590264120442,
      "fos_buckling": 1.4242688411917606,
      "fos_yielding": 4.786287582276808,
      "deflection": 0.011595071193968598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.198)"
      },
      "parent_node_id": "node_2784",
      "improvement_over_parent": null
    },
    "node_2786": {
      "node_id": "node_2786",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 198.53 kg\n  Factor of Safety: 1.39\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": 198.53203446767807,
      "fos_buckling": 1.394000787822544,
      "fos_yielding": 4.778791711096183,
      "deflection": 0.011375089466165974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2785",
      "improvement_over_parent": null
    },
    "node_2787": {
      "node_id": "node_2787",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 201.59 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.58790126256454,
      "fos_buckling": 1.4466222647526634,
      "fos_yielding": 4.838907739174009,
      "deflection": 0.011144611740607336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.610)"
      },
      "parent_node_id": "node_2786",
      "improvement_over_parent": null
    },
    "node_2788": {
      "node_id": "node_2788",
      "content": "MODIFICATION: Increase 18 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 208.94 kg\n  Factor of Safety: 1.44\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": 208.9396145090244,
      "fos_buckling": 1.4355376126912403,
      "fos_yielding": 4.838816974498663,
      "deflection": 0.011022152067946768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.621)"
      },
      "parent_node_id": "node_2787",
      "improvement_over_parent": null
    },
    "node_2789": {
      "node_id": "node_2789",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2788",
      "improvement_over_parent": null
    },
    "node_2790": {
      "node_id": "node_2790",
      "content": "INITIAL DESIGN (Trace 399)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 154.95 kg\n  Factor of Safety: 0.80\n  Max Deflection: 7.75e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.94724853107044,
      "fos_buckling": 0.803523847581791,
      "fos_yielding": 4.563113893806498,
      "deflection": 7750509206076.875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2791": {
      "node_id": "node_2791",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 166.37 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.55e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.37444869711007,
      "fos_buckling": 0.7812616425256637,
      "fos_yielding": 3.9443376510174315,
      "deflection": 5549189314982.24,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2790",
      "improvement_over_parent": null
    },
    "node_2792": {
      "node_id": "node_2792",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 171.68 kg\n  Factor of Safety: 0.45\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": 171.68249417410456,
      "fos_buckling": 0.45012442354820975,
      "fos_yielding": 4.139142965007563,
      "deflection": 0.017251965437826384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_2791",
      "improvement_over_parent": null
    },
    "node_2793": {
      "node_id": "node_2793",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 182.70 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.69815104999154,
      "fos_buckling": 0.4480783887800411,
      "fos_yielding": 4.135410092268285,
      "deflection": 0.015504250406231228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_2792",
      "improvement_over_parent": null
    },
    "node_2794": {
      "node_id": "node_2794",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.23714338996083,
      "fos_buckling": 1.0934204097789395,
      "fos_yielding": 4.835316734300887,
      "deflection": 0.012386880401953506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2793",
      "improvement_over_parent": null
    },
    "node_2795": {
      "node_id": "node_2795",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70145795201566,
      "fos_buckling": 1.5304015070752564,
      "fos_yielding": 4.836783098304737,
      "deflection": 0.011226770947673296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2794",
      "improvement_over_parent": null
    },
    "node_2796": {
      "node_id": "node_2796",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 400)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 158.64 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.64304528011172,
      "fos_buckling": 1.0573206459803788,
      "fos_yielding": 3.8123896783116256,
      "deflection": 0.014216572264669198,
      "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: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 175.36 kg\n  Factor of Safety: 1.16\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": 175.36373125268508,
      "fos_buckling": 1.1608051135170299,
      "fos_yielding": 4.211848499670041,
      "deflection": 0.012893496375050368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.89 kg\n  Factor of Safety: 1.32\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": 201.89304476795195,
      "fos_buckling": 1.3217727227343807,
      "fos_yielding": 4.844682259544972,
      "deflection": 0.011244053323946703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_2798",
      "improvement_over_parent": null
    },
    "node_2800": {
      "node_id": "node_2800",
      "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.98 kg\n  Factor of Safety: 1.45\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": 202.9776021913454,
      "fos_buckling": 1.4474533688664006,
      "fos_yielding": 4.8178375802796145,
      "deflection": 0.011225209194796554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.585)"
      },
      "parent_node_id": "node_2799",
      "improvement_over_parent": null
    },
    "node_2801": {
      "node_id": "node_2801",
      "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.69 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.69306681568656,
      "fos_buckling": 1.524139538260975,
      "fos_yielding": 4.843634000485042,
      "deflection": 0.01118494568646877,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.176)"
      },
      "parent_node_id": "node_2800",
      "improvement_over_parent": null
    },
    "node_2802": {
      "node_id": "node_2802",
      "content": "MODIFICATION: Increase 18 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.96 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.95913806302406,
      "fos_buckling": 1.5318302523281357,
      "fos_yielding": 4.842891896973063,
      "deflection": 0.011213259591596211,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.189)"
      },
      "parent_node_id": "node_2801",
      "improvement_over_parent": null
    },
    "node_2803": {
      "node_id": "node_2803",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2802",
      "improvement_over_parent": null
    },
    "node_2804": {
      "node_id": "node_2804",
      "content": "INITIAL DESIGN (Trace 401)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 117.07 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.07291745972363,
      "fos_buckling": 0.19308591316454957,
      "fos_yielding": 0.9115361390360419,
      "deflection": 0.054658924438668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2805": {
      "node_id": "node_2805",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n\nPerformance:\n  Mass: 123.23 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.2269303309487,
      "fos_buckling": 0.19298550834790787,
      "fos_yielding": 0.9110558686734087,
      "deflection": 0.05149768571141641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003542)"
      },
      "parent_node_id": "node_2804",
      "improvement_over_parent": null
    },
    "node_2806": {
      "node_id": "node_2806",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n\nPerformance:\n  Mass: 138.36 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.60e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.3597153702322,
      "fos_buckling": 0.21325092363220852,
      "fos_yielding": 1.0211041713581677,
      "deflection": 0.04595401992953771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2805",
      "improvement_over_parent": null
    },
    "node_2807": {
      "node_id": "node_2807",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n  Mass: 149.45 kg\n  Factor of Safety: 1.18\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": 149.45214406742974,
      "fos_buckling": 1.176571587940102,
      "fos_yielding": 3.5364179307140673,
      "deflection": 0.01525259068664765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005077)"
      },
      "parent_node_id": "node_2806",
      "improvement_over_parent": null
    },
    "node_2808": {
      "node_id": "node_2808",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 171.48 kg\n  Factor of Safety: 1.32\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": 171.4793110253218,
      "fos_buckling": 1.322801814871876,
      "fos_yielding": 4.055242837563751,
      "deflection": 0.01333625827312753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2807",
      "improvement_over_parent": null
    },
    "node_2809": {
      "node_id": "node_2809",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.89 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.88888567837196,
      "fos_buckling": 1.53147358048293,
      "fos_yielding": 4.841000253605922,
      "deflection": 0.011216107487449169,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2808",
      "improvement_over_parent": null
    },
    "node_2810": {
      "node_id": "node_2810",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 402)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 187.41 kg\n  Factor of Safety: 0.43\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": 187.41210176107313,
      "fos_buckling": 0.43393840436521824,
      "fos_yielding": 4.903293287880026,
      "deflection": 0.013613132427279646,
      "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 19 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.18 kg\n  Factor of Safety: 0.43\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": 191.17774978967807,
      "fos_buckling": 0.4252078591211322,
      "fos_yielding": 4.903178891447915,
      "deflection": 0.013429929871592566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.242)"
      },
      "parent_node_id": "node_2811",
      "improvement_over_parent": null
    },
    "node_2813": {
      "node_id": "node_2813",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 200.69 kg\n  Factor of Safety: 1.43\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.69340760667842,
      "fos_buckling": 1.4287232661465774,
      "fos_yielding": 4.827303846811112,
      "deflection": 0.011504860880648716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2812",
      "improvement_over_parent": null
    },
    "node_2814": {
      "node_id": "node_2814",
      "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0093)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 206.82 kg\n  Factor of Safety: 1.46\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": 206.81674271342834,
      "fos_buckling": 1.460513048120794,
      "fos_yielding": 4.828347941090876,
      "deflection": 0.011749884147088467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.629)"
      },
      "parent_node_id": "node_2813",
      "improvement_over_parent": null
    },
    "node_2815": {
      "node_id": "node_2815",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2814",
      "improvement_over_parent": null
    },
    "node_2816": {
      "node_id": "node_2816",
      "content": "INITIAL DESIGN (Trace 403)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 149.29 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.2932001953498,
      "fos_buckling": 0.20354070942068436,
      "fos_yielding": 3.7519075097491266,
      "deflection": 0.014846576528035315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2817": {
      "node_id": "node_2817",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 158.27 kg\n  Factor of Safety: 1.05\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": 158.27316279094094,
      "fos_buckling": 1.0537025900384351,
      "fos_yielding": 3.766808920571819,
      "deflection": 0.014434028329313214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004409)"
      },
      "parent_node_id": "node_2816",
      "improvement_over_parent": null
    },
    "node_2818": {
      "node_id": "node_2818",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 160.87 kg\n  Factor of Safety: 1.25\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": 160.86736241684525,
      "fos_buckling": 1.2532482860064662,
      "fos_yielding": 3.8055202707453892,
      "deflection": 0.014194851266779756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.383)"
      },
      "parent_node_id": "node_2817",
      "improvement_over_parent": null
    },
    "node_2819": {
      "node_id": "node_2819",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68406429453688,
      "fos_buckling": 1.5302810775286833,
      "fos_yielding": 4.83637801742207,
      "deflection": 0.011227674410506969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2818",
      "improvement_over_parent": null
    },
    "node_2820": {
      "node_id": "node_2820",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2819",
      "improvement_over_parent": null
    },
    "node_2821": {
      "node_id": "node_2821",
      "content": "INITIAL DESIGN (Trace 404)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 168.60 kg\n  Factor of Safety: 1.18\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": 168.59667791841537,
      "fos_buckling": 1.1805155850026472,
      "fos_yielding": 3.985944624472351,
      "deflection": 0.013395473525328955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2822": {
      "node_id": "node_2822",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.09 kg\n  Factor of Safety: 1.36\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": 202.08560275326516,
      "fos_buckling": 1.3604639627394253,
      "fos_yielding": 4.772480404334648,
      "deflection": 0.01123143253789485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2821",
      "improvement_over_parent": null
    },
    "node_2823": {
      "node_id": "node_2823",
      "content": "MODIFICATION: Increase 14 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.68 kg\n  Factor of Safety: 1.32\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": 203.68032984698704,
      "fos_buckling": 1.3224463770793475,
      "fos_yielding": 4.762157502658743,
      "deflection": 0.011182460785993897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.221)"
      },
      "parent_node_id": "node_2822",
      "improvement_over_parent": null
    },
    "node_2824": {
      "node_id": "node_2824",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80697766727366,
      "fos_buckling": 1.531042898842872,
      "fos_yielding": 4.8393174630586255,
      "deflection": 0.011221087734691573,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_2823",
      "improvement_over_parent": null
    },
    "node_2825": {
      "node_id": "node_2825",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2824",
      "improvement_over_parent": null
    },
    "node_2826": {
      "node_id": "node_2826",
      "content": "INITIAL DESIGN (Trace 405)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 126.39 kg\n  Factor of Safety: 0.02\n  Max Deflection: 1.96e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.38545651008779,
      "fos_buckling": 0.02084723505668785,
      "fos_yielding": 0.49304220637717894,
      "deflection": 195821069964211.97,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2827": {
      "node_id": "node_2827",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n  Mass: 135.93 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.92557350566972,
      "fos_buckling": 0.8648002493582474,
      "fos_yielding": 3.928425643498405,
      "deflection": 0.019346827954241898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004461)"
      },
      "parent_node_id": "node_2826",
      "improvement_over_parent": null
    },
    "node_2828": {
      "node_id": "node_2828",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 160.90 kg\n  Factor of Safety: 1.00\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": 160.9045736486493,
      "fos_buckling": 1.0047297578255536,
      "fos_yielding": 4.647682592256736,
      "deflection": 0.016387354805026684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2827",
      "improvement_over_parent": null
    },
    "node_2829": {
      "node_id": "node_2829",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n  Mass: 163.67 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.67318299311256,
      "fos_buckling": 1.0046510255900116,
      "fos_yielding": 4.647682592256736,
      "deflection": 0.0157917624999585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.610)"
      },
      "parent_node_id": "node_2828",
      "improvement_over_parent": null
    },
    "node_2830": {
      "node_id": "node_2830",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 170.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.67571286509835,
      "fos_buckling": 1.0044519464425385,
      "fos_yielding": 4.359774320905996,
      "deflection": 0.015100290753749614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004212)"
      },
      "parent_node_id": "node_2829",
      "improvement_over_parent": null
    },
    "node_2831": {
      "node_id": "node_2831",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n  Mass: 179.19 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.19163793027045,
      "fos_buckling": 1.026479218530901,
      "fos_yielding": 4.361059776459004,
      "deflection": 0.013768111743231969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005017)"
      },
      "parent_node_id": "node_2830",
      "improvement_over_parent": null
    },
    "node_2832": {
      "node_id": "node_2832",
      "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n  Mass: 184.26 kg\n  Factor of Safety: 1.40\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.2562358983406,
      "fos_buckling": 1.404620372163102,
      "fos_yielding": 4.356612724663729,
      "deflection": 0.0124365008970031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.639)"
      },
      "parent_node_id": "node_2831",
      "improvement_over_parent": null
    },
    "node_2833": {
      "node_id": "node_2833",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71180115102433,
      "fos_buckling": 1.5305683205642129,
      "fos_yielding": 4.837612165797125,
      "deflection": 0.011227172097405187,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2832",
      "improvement_over_parent": null
    },
    "node_2834": {
      "node_id": "node_2834",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 406)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 151.29 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.29361886899673,
      "fos_buckling": 1.2086903772398212,
      "fos_yielding": 3.6616405157295797,
      "deflection": 0.01568278505927862,
      "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: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 180.45 kg\n  Factor of Safety: 1.40\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": 180.45098882340062,
      "fos_buckling": 1.4020498319161612,
      "fos_yielding": 4.362818691347001,
      "deflection": 0.013193466500523358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2835",
      "improvement_over_parent": null
    },
    "node_2837": {
      "node_id": "node_2837",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.03 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.19e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.02742276046192,
      "fos_buckling": 1.5248144192593938,
      "fos_yielding": 4.832744809280727,
      "deflection": 0.011929017734653756,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2836",
      "improvement_over_parent": null
    },
    "node_2838": {
      "node_id": "node_2838",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64805200776394,
      "fos_buckling": 1.530074344652682,
      "fos_yielding": 4.835537256630371,
      "deflection": 0.011229573673703603,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_2837",
      "improvement_over_parent": null
    },
    "node_2839": {
      "node_id": "node_2839",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2838",
      "improvement_over_parent": null
    },
    "node_2840": {
      "node_id": "node_2840",
      "content": "INITIAL DESIGN (Trace 407)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n  Mass: 112.13 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.13176919906797,
      "fos_buckling": 0.3222277897204127,
      "fos_yielding": 2.289554359929728,
      "deflection": 0.030226681934430517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2841": {
      "node_id": "node_2841",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.06 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.06435188035236,
      "fos_buckling": 0.32185203518423317,
      "fos_yielding": 2.772739973735448,
      "deflection": 0.021855549823237258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005010)"
      },
      "parent_node_id": "node_2840",
      "improvement_over_parent": null
    },
    "node_2842": {
      "node_id": "node_2842",
      "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 127.15 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.15077881754232,
      "fos_buckling": 0.32176426051642937,
      "fos_yielding": 2.772393618930816,
      "deflection": 0.021092512873003632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.280)"
      },
      "parent_node_id": "node_2841",
      "improvement_over_parent": null
    },
    "node_2843": {
      "node_id": "node_2843",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 155.06 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.06212559460886,
      "fos_buckling": 0.38017153560053385,
      "fos_yielding": 3.375771079778414,
      "deflection": 0.017377270049821168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_2842",
      "improvement_over_parent": null
    },
    "node_2844": {
      "node_id": "node_2844",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n  Mass: 165.28 kg\n  Factor of Safety: 1.18\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": 165.27569375672385,
      "fos_buckling": 1.1767049090682289,
      "fos_yielding": 3.944844763668486,
      "deflection": 0.01355759155302124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004800)"
      },
      "parent_node_id": "node_2843",
      "improvement_over_parent": null
    },
    "node_2845": {
      "node_id": "node_2845",
      "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n  Mass: 166.63 kg\n  Factor of Safety: 1.21\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": 166.62819556277685,
      "fos_buckling": 1.2146082325087513,
      "fos_yielding": 3.944193180259691,
      "deflection": 0.013601023359184509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.211)"
      },
      "parent_node_id": "node_2844",
      "improvement_over_parent": null
    },
    "node_2846": {
      "node_id": "node_2846",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0060)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.55 kg\n  Factor of Safety: 1.46\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": 204.55335391453752,
      "fos_buckling": 1.456395893657782,
      "fos_yielding": 4.837274595491287,
      "deflection": 0.011141977179445098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2845",
      "improvement_over_parent": null
    },
    "node_2847": {
      "node_id": "node_2847",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 408)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 142.97 kg\n  Factor of Safety: 0.36\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": 142.96967978484153,
      "fos_buckling": 0.36342203050834687,
      "fos_yielding": 3.1981192708914437,
      "deflection": 0.01903616681074753,
      "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 all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 185.41 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.41425762715187,
      "fos_buckling": 0.4480291514997874,
      "fos_yielding": 4.135960742954131,
      "deflection": 0.014776598149819587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2848",
      "improvement_over_parent": null
    },
    "node_2850": {
      "node_id": "node_2850",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 197.95 kg\n  Factor of Safety: 1.20\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": 197.95324996712117,
      "fos_buckling": 1.1952214566051116,
      "fos_yielding": 4.838236320621814,
      "deflection": 0.011646579215688844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2849",
      "improvement_over_parent": null
    },
    "node_2851": {
      "node_id": "node_2851",
      "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n\nPerformance:\n  Mass: 203.66 kg\n  Factor of Safety: 1.20\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": 203.6644281448977,
      "fos_buckling": 1.1951393593159174,
      "fos_yielding": 4.888135909455931,
      "deflection": 0.011461949055942887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.529)"
      },
      "parent_node_id": "node_2850",
      "improvement_over_parent": null
    },
    "node_2852": {
      "node_id": "node_2852",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2851",
      "improvement_over_parent": null
    },
    "node_2853": {
      "node_id": "node_2853",
      "content": "INITIAL DESIGN (Trace 409)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 154.07 kg\n  Factor of Safety: 1.22\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": 154.07183664580748,
      "fos_buckling": 1.219686952415277,
      "fos_yielding": 3.72534904653304,
      "deflection": 0.015137127171976976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2854": {
      "node_id": "node_2854",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.74 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 200.73664882000358,
      "fos_buckling": 1.51359855048039,
      "fos_yielding": 4.846110592054506,
      "deflection": 0.011690814611175765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2853",
      "improvement_over_parent": null
    },
    "node_2855": {
      "node_id": "node_2855",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 201.45 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.17e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.45278064647724,
      "fos_buckling": 1.5192216453824485,
      "fos_yielding": 4.844996595237315,
      "deflection": 0.01166398308910343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2854",
      "improvement_over_parent": null
    },
    "node_2856": {
      "node_id": "node_2856",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65622599517835,
      "fos_buckling": 1.5301349692648767,
      "fos_yielding": 4.835775604665495,
      "deflection": 0.011229244094619657,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.404)"
      },
      "parent_node_id": "node_2855",
      "improvement_over_parent": null
    },
    "node_2857": {
      "node_id": "node_2857",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2856",
      "improvement_over_parent": null
    },
    "node_2858": {
      "node_id": "node_2858",
      "content": "INITIAL DESIGN (Trace 410)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 141.82 kg\n  Factor of Safety: 0.81\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": 141.81803769824546,
      "fos_buckling": 0.8111604583565847,
      "fos_yielding": 3.976817014006852,
      "deflection": 0.015359306204718468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2859": {
      "node_id": "node_2859",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 164.84 kg\n  Factor of Safety: 0.92\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": 164.84343135409966,
      "fos_buckling": 0.9236239326175829,
      "fos_yielding": 4.621079460309066,
      "deflection": 0.013258961956313866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2858",
      "improvement_over_parent": null
    },
    "node_2860": {
      "node_id": "node_2860",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n\nPerformance:\n  Mass: 172.55 kg\n  Factor of Safety: 1.06\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": 172.55107275935995,
      "fos_buckling": 1.0590866185600445,
      "fos_yielding": 4.621079460309066,
      "deflection": 0.013952478323078162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004405)"
      },
      "parent_node_id": "node_2859",
      "improvement_over_parent": null
    },
    "node_2861": {
      "node_id": "node_2861",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 192.84 kg\n  Factor of Safety: 1.16\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": 192.8380520146965,
      "fos_buckling": 1.1562466145645833,
      "fos_yielding": 5.16305946160451,
      "deflection": 0.012519426341707088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_2860",
      "improvement_over_parent": null
    },
    "node_2862": {
      "node_id": "node_2862",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 196.94 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.941447923627,
      "fos_buckling": 1.154292668228835,
      "fos_yielding": 5.16305946160451,
      "deflection": 0.011863473468505688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.577)"
      },
      "parent_node_id": "node_2861",
      "improvement_over_parent": null
    },
    "node_2863": {
      "node_id": "node_2863",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72309643587948,
      "fos_buckling": 1.5305881190384218,
      "fos_yielding": 4.8375646166833866,
      "deflection": 0.011226006282198973,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_2862",
      "improvement_over_parent": null
    },
    "node_2864": {
      "node_id": "node_2864",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2863",
      "improvement_over_parent": null
    },
    "node_2865": {
      "node_id": "node_2865",
      "content": "INITIAL DESIGN (Trace 411)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 165.25 kg\n  Factor of Safety: 1.18\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": 165.25039247009917,
      "fos_buckling": 1.1782156662286485,
      "fos_yielding": 3.9843996859491266,
      "deflection": 0.0138011368622114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2866": {
      "node_id": "node_2866",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.72 kg\n  Factor of Safety: 1.39\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": 201.71653681814513,
      "fos_buckling": 1.3934381344570677,
      "fos_yielding": 4.857665061664931,
      "deflection": 0.01136627563284641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2865",
      "improvement_over_parent": null
    },
    "node_2867": {
      "node_id": "node_2867",
      "content": "MODIFICATION: Increase 16 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.46 kg\n  Factor of Safety: 1.41\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": 203.4558181806234,
      "fos_buckling": 1.4088342813882162,
      "fos_yielding": 4.860792275982659,
      "deflection": 0.011267541254549375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.206)"
      },
      "parent_node_id": "node_2866",
      "improvement_over_parent": null
    },
    "node_2868": {
      "node_id": "node_2868",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77288947945698,
      "fos_buckling": 1.530870334551767,
      "fos_yielding": 4.83863945924412,
      "deflection": 0.011222937108275412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.362)"
      },
      "parent_node_id": "node_2867",
      "improvement_over_parent": null
    },
    "node_2869": {
      "node_id": "node_2869",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2868",
      "improvement_over_parent": null
    },
    "node_2870": {
      "node_id": "node_2870",
      "content": "INITIAL DESIGN (Trace 412)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0017)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0023)]\n\nPerformance:\n  Mass: 88.49 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 88.49487301586687,
      "fos_buckling": 0.5987442732523998,
      "fos_yielding": 2.1941113420315776,
      "deflection": 0.02565395726482437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2871": {
      "node_id": "node_2871",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n  Mass: 116.47 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.4703040671891,
      "fos_buckling": 0.7752844500529918,
      "fos_yielding": 2.8842761430272383,
      "deflection": 0.019567964071551043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2870",
      "improvement_over_parent": null
    },
    "node_2872": {
      "node_id": "node_2872",
      "content": "MODIFICATION: Increase 20 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 120.08 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.08131260414856,
      "fos_buckling": 0.9567120836507939,
      "fos_yielding": 2.8840208416840696,
      "deflection": 0.01895770810227798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.431)"
      },
      "parent_node_id": "node_2871",
      "improvement_over_parent": null
    },
    "node_2873": {
      "node_id": "node_2873",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 138.30 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.30116992368667,
      "fos_buckling": 1.0839820290307955,
      "fos_yielding": 3.3197023684470555,
      "deflection": 0.016502816493570313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2872",
      "improvement_over_parent": null
    },
    "node_2874": {
      "node_id": "node_2874",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.53 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.52637064693778,
      "fos_buckling": 1.252538809243481,
      "fos_yielding": 3.9220530261949085,
      "deflection": 0.014006999038545949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2873",
      "improvement_over_parent": null
    },
    "node_2875": {
      "node_id": "node_2875",
      "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 166.06 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.05961302335325,
      "fos_buckling": 1.2877152677541481,
      "fos_yielding": 3.9275874609812593,
      "deflection": 0.013761571878326996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.425)"
      },
      "parent_node_id": "node_2874",
      "improvement_over_parent": null
    },
    "node_2876": {
      "node_id": "node_2876",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.626676937661,
      "fos_buckling": 1.5301743918486308,
      "fos_yielding": 4.834769985029287,
      "deflection": 0.011230820602807104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2875",
      "improvement_over_parent": null
    },
    "node_2877": {
      "node_id": "node_2877",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2876",
      "improvement_over_parent": null
    },
    "node_2878": {
      "node_id": "node_2878",
      "content": "INITIAL DESIGN (Trace 413)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 113.24 kg\n  Factor of Safety: 0.55\n  Max Deflection: 2.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.23903781599155,
      "fos_buckling": 0.5496686527160438,
      "fos_yielding": 2.7607873811553283,
      "deflection": 0.021692664420040732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2879": {
      "node_id": "node_2879",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 131.96 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.957682009159,
      "fos_buckling": 0.6309771921549703,
      "fos_yielding": 3.2152673009121613,
      "deflection": 0.01864722122118816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2878",
      "improvement_over_parent": null
    },
    "node_2880": {
      "node_id": "node_2880",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 161.31 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.31210674601198,
      "fos_buckling": 0.7529870720236684,
      "fos_yielding": 3.9268875659537343,
      "deflection": 0.01529472651937025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2879",
      "improvement_over_parent": null
    },
    "node_2881": {
      "node_id": "node_2881",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n  Mass: 179.74 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.73717167192763,
      "fos_buckling": 0.8261298930883967,
      "fos_yielding": 4.372868537446653,
      "deflection": 0.013749877186106827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2880",
      "improvement_over_parent": null
    },
    "node_2882": {
      "node_id": "node_2882",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.55 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.54563399674296,
      "fos_buckling": 0.901796232359095,
      "fos_yielding": 4.851739703046421,
      "deflection": 0.012407301317518054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2881",
      "improvement_over_parent": null
    },
    "node_2883": {
      "node_id": "node_2883",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.53 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.53449483181706,
      "fos_buckling": 0.8985894767955135,
      "fos_yielding": 4.8518008573043865,
      "deflection": 0.012406435242884702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.292)"
      },
      "parent_node_id": "node_2882",
      "improvement_over_parent": null
    },
    "node_2884": {
      "node_id": "node_2884",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64987273153747,
      "fos_buckling": 1.530153062390374,
      "fos_yielding": 4.835446298196322,
      "deflection": 0.011229694440937193,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_2883",
      "improvement_over_parent": null
    },
    "node_2885": {
      "node_id": "node_2885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2884",
      "improvement_over_parent": null
    },
    "node_2886": {
      "node_id": "node_2886",
      "content": "INITIAL DESIGN (Trace 414)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 147.42 kg\n  Factor of Safety: 0.70\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": 147.41973697707553,
      "fos_buckling": 0.7030980395254183,
      "fos_yielding": 3.617598522058163,
      "deflection": 0.016579529677610984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2887": {
      "node_id": "node_2887",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n  Mass: 149.74 kg\n  Factor of Safety: 1.02\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": 149.73982430455658,
      "fos_buckling": 1.0163079783044755,
      "fos_yielding": 3.601752116124458,
      "deflection": 0.015119379965646537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003028)"
      },
      "parent_node_id": "node_2886",
      "improvement_over_parent": null
    },
    "node_2888": {
      "node_id": "node_2888",
      "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n  Mass: 150.01 kg\n  Factor of Safety: 1.02\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": 150.0055378172822,
      "fos_buckling": 1.0165055774392786,
      "fos_yielding": 3.6078560966288307,
      "deflection": 0.015125623797443408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.495)"
      },
      "parent_node_id": "node_2887",
      "improvement_over_parent": null
    },
    "node_2889": {
      "node_id": "node_2889",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 182.07 kg\n  Factor of Safety: 1.21\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": 182.07451249169455,
      "fos_buckling": 1.2122755434786558,
      "fos_yielding": 4.374587576556249,
      "deflection": 0.012520460382826424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2888",
      "improvement_over_parent": null
    },
    "node_2890": {
      "node_id": "node_2890",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 185.04 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.04445894708044,
      "fos_buckling": 1.4094722890069038,
      "fos_yielding": 4.374669186520321,
      "deflection": 0.012383801676574912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.577)"
      },
      "parent_node_id": "node_2889",
      "improvement_over_parent": null
    },
    "node_2891": {
      "node_id": "node_2891",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7445279189645,
      "fos_buckling": 1.5306497373117045,
      "fos_yielding": 4.837847775295491,
      "deflection": 0.011224403499887669,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2890",
      "improvement_over_parent": null
    },
    "node_2892": {
      "node_id": "node_2892",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2891",
      "improvement_over_parent": null
    },
    "node_2893": {
      "node_id": "node_2893",
      "content": "INITIAL DESIGN (Trace 415)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 170.19 kg\n  Factor of Safety: 0.23\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": 170.18613107781434,
      "fos_buckling": 0.22591125997230255,
      "fos_yielding": 2.157965780138948,
      "deflection": 0.04453536455304363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2894": {
      "node_id": "node_2894",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 182.67 kg\n  Factor of Safety: 0.77\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": 182.6739381548311,
      "fos_buckling": 0.7702803686449081,
      "fos_yielding": 4.499018999970486,
      "deflection": 0.01372519352873154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_2893",
      "improvement_over_parent": null
    },
    "node_2895": {
      "node_id": "node_2895",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 183.80 kg\n  Factor of Safety: 0.77\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": 183.8005859751177,
      "fos_buckling": 0.7702313228020987,
      "fos_yielding": 4.49873253521343,
      "deflection": 0.01370933226086876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_2894",
      "improvement_over_parent": null
    },
    "node_2896": {
      "node_id": "node_2896",
      "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0039)]\n\nPerformance:\n  Mass: 184.34 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.3374630683823,
      "fos_buckling": 0.7702079533750471,
      "fos_yielding": 4.49859604011294,
      "deflection": 0.01370852777042461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.555)"
      },
      "parent_node_id": "node_2895",
      "improvement_over_parent": null
    },
    "node_2897": {
      "node_id": "node_2897",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0039)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 198.22 kg\n  Factor of Safety: 1.18\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": 198.2223699440039,
      "fos_buckling": 1.1824250950342303,
      "fos_yielding": 4.8441925945900595,
      "deflection": 0.011673237224829576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2896",
      "improvement_over_parent": null
    },
    "node_2898": {
      "node_id": "node_2898",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2897",
      "improvement_over_parent": null
    },
    "node_2899": {
      "node_id": "node_2899",
      "content": "INITIAL DESIGN (Trace 416)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 155.13 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.12620451054602,
      "fos_buckling": 0.25008879649220733,
      "fos_yielding": 1.2373384681870727,
      "deflection": 0.03890328322782946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2900": {
      "node_id": "node_2900",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 159.81 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.85e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.80607255372206,
      "fos_buckling": 0.2499904600710322,
      "fos_yielding": 1.2207461714715293,
      "deflection": 0.038462039149345026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003675)"
      },
      "parent_node_id": "node_2899",
      "improvement_over_parent": null
    },
    "node_2901": {
      "node_id": "node_2901",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 181.26 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.25658910839874,
      "fos_buckling": 0.27662144752557527,
      "fos_yielding": 1.3806155318051623,
      "deflection": 0.034012619516984394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2900",
      "improvement_over_parent": null
    },
    "node_2902": {
      "node_id": "node_2902",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 194.31 kg\n  Factor of Safety: 1.35\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": 194.3091403934052,
      "fos_buckling": 1.3463422633349744,
      "fos_yielding": 4.844986333878219,
      "deflection": 0.012019911017796599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006047)"
      },
      "parent_node_id": "node_2901",
      "improvement_over_parent": null
    },
    "node_2903": {
      "node_id": "node_2903",
      "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 199.23 kg\n  Factor of Safety: 1.34\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": 199.22879036379464,
      "fos_buckling": 1.3384969959560145,
      "fos_yielding": 4.844522021489655,
      "deflection": 0.011649661807702915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.582)"
      },
      "parent_node_id": "node_2902",
      "improvement_over_parent": null
    },
    "node_2904": {
      "node_id": "node_2904",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 200.16 kg\n  Factor of Safety: 1.33\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": 200.15936586971725,
      "fos_buckling": 1.3302504224664566,
      "fos_yielding": 5.531195691253117,
      "deflection": 0.011610758733849856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.179)"
      },
      "parent_node_id": "node_2903",
      "improvement_over_parent": null
    },
    "node_2905": {
      "node_id": "node_2905",
      "content": "MODIFICATION: Increase 15 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0090)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 205.76 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.76010401283645,
      "fos_buckling": 1.371496692052102,
      "fos_yielding": 5.521788692068016,
      "deflection": 0.011845234722609784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.572)"
      },
      "parent_node_id": "node_2904",
      "improvement_over_parent": null
    },
    "node_2906": {
      "node_id": "node_2906",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2905",
      "improvement_over_parent": null
    },
    "node_2907": {
      "node_id": "node_2907",
      "content": "INITIAL DESIGN (Trace 417)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 188.38 kg\n  Factor of Safety: 1.14\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": 188.37673455691737,
      "fos_buckling": 1.1369346056635252,
      "fos_yielding": 3.6591130141198303,
      "deflection": 0.01252961064140201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2908": {
      "node_id": "node_2908",
      "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 190.10 kg\n  Factor of Safety: 1.21\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": 190.0990482149881,
      "fos_buckling": 1.2116821515727212,
      "fos_yielding": 4.844120258943393,
      "deflection": 0.012389935841024921,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.546)"
      },
      "parent_node_id": "node_2907",
      "improvement_over_parent": null
    },
    "node_2909": {
      "node_id": "node_2909",
      "content": "MODIFICATION: Increase 18 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 191.93 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.92638101622308,
      "fos_buckling": 1.1946867531136898,
      "fos_yielding": 4.842866983741715,
      "deflection": 0.01245552322560047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.499)"
      },
      "parent_node_id": "node_2908",
      "improvement_over_parent": null
    },
    "node_2910": {
      "node_id": "node_2910",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 196.99 kg\n  Factor of Safety: 1.30\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": 196.99462212359882,
      "fos_buckling": 1.301461704014187,
      "fos_yielding": 4.8391131751986185,
      "deflection": 0.011423364527100813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.550)"
      },
      "parent_node_id": "node_2909",
      "improvement_over_parent": null
    },
    "node_2911": {
      "node_id": "node_2911",
      "content": "MODIFICATION: Increase 18 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 199.91 kg\n  Factor of Safety: 1.30\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": 199.90755064711087,
      "fos_buckling": 1.2985201430459363,
      "fos_yielding": 4.837205033348904,
      "deflection": 0.011497866697805736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.560)"
      },
      "parent_node_id": "node_2910",
      "improvement_over_parent": null
    },
    "node_2912": {
      "node_id": "node_2912",
      "content": "MODIFICATION: Increase 20 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70605854358513,
      "fos_buckling": 1.5309105852280365,
      "fos_yielding": 4.8367930577296745,
      "deflection": 0.011228205474444962,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.328)"
      },
      "parent_node_id": "node_2911",
      "improvement_over_parent": null
    },
    "node_2913": {
      "node_id": "node_2913",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2912",
      "improvement_over_parent": null
    },
    "node_2914": {
      "node_id": "node_2914",
      "content": "INITIAL DESIGN (Trace 418)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n  Mass: 128.70 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.7007394851125,
      "fos_buckling": 0.3754588805607044,
      "fos_yielding": 2.5021850708588773,
      "deflection": 0.02559241402676282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2915": {
      "node_id": "node_2915",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 143.94 kg\n  Factor of Safety: 0.90\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": 143.9391607433461,
      "fos_buckling": 0.8951104674665779,
      "fos_yielding": 3.7743068650066554,
      "deflection": 0.016096770731804343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005511)"
      },
      "parent_node_id": "node_2914",
      "improvement_over_parent": null
    },
    "node_2916": {
      "node_id": "node_2916",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 175.65 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.65080917133824,
      "fos_buckling": 1.0545348671217096,
      "fos_yielding": 4.605159828906832,
      "deflection": 0.013256748147275982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 182.59 kg\n  Factor of Safety: 1.39\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": 182.59365373234454,
      "fos_buckling": 1.3940229464659812,
      "fos_yielding": 4.31692272960129,
      "deflection": 0.012545687776066206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004173)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6942801557615,
      "fos_buckling": 1.5303595249074236,
      "fos_yielding": 4.83656705977558,
      "deflection": 0.011227211254538941,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2917",
      "improvement_over_parent": null
    },
    "node_2919": {
      "node_id": "node_2919",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2918",
      "improvement_over_parent": null
    },
    "node_2920": {
      "node_id": "node_2920",
      "content": "INITIAL DESIGN (Trace 419)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n  Mass: 124.61 kg\n  Factor of Safety: 0.93\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": 124.60777374309018,
      "fos_buckling": 0.9308211813545116,
      "fos_yielding": 2.604558918469817,
      "deflection": 0.01830540261779049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2921": {
      "node_id": "node_2921",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 153.39 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.38778724489626,
      "fos_buckling": 1.1231382323099461,
      "fos_yielding": 3.2093854015438334,
      "deflection": 0.014930267272091128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2920",
      "improvement_over_parent": null
    },
    "node_2922": {
      "node_id": "node_2922",
      "content": "MODIFICATION: Increase 16 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 156.46 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.4643034954174,
      "fos_buckling": 1.125299280803347,
      "fos_yielding": 3.2155606320606367,
      "deflection": 0.014587134512678302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.587)"
      },
      "parent_node_id": "node_2921",
      "improvement_over_parent": null
    },
    "node_2923": {
      "node_id": "node_2923",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 198.21 kg\n  Factor of Safety: 1.38\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": 198.20992424431483,
      "fos_buckling": 1.3848044441246163,
      "fos_yielding": 4.081098242718062,
      "deflection": 0.01158453861998383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2922",
      "improvement_over_parent": null
    },
    "node_2924": {
      "node_id": "node_2924",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 200.55 kg\n  Factor of Safety: 1.38\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": 200.55363174067526,
      "fos_buckling": 1.3784685775488976,
      "fos_yielding": 4.080924291836939,
      "deflection": 0.011448910726465823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.217)"
      },
      "parent_node_id": "node_2923",
      "improvement_over_parent": null
    },
    "node_2925": {
      "node_id": "node_2925",
      "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 201.49 kg\n  Factor of Safety: 1.38\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.49264373710508,
      "fos_buckling": 1.3784181914036409,
      "fos_yielding": 4.838923983749077,
      "deflection": 0.011394276718971127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.211)"
      },
      "parent_node_id": "node_2924",
      "improvement_over_parent": null
    },
    "node_2926": {
      "node_id": "node_2926",
      "content": "MODIFICATION: Increase 20 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69148679288128,
      "fos_buckling": 1.5306816129035579,
      "fos_yielding": 4.838660740401723,
      "deflection": 0.011227356919532454,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.199)"
      },
      "parent_node_id": "node_2925",
      "improvement_over_parent": null
    },
    "node_2927": {
      "node_id": "node_2927",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2926",
      "improvement_over_parent": null
    },
    "node_2928": {
      "node_id": "node_2928",
      "content": "INITIAL DESIGN (Trace 420)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 154.98 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.9774951687038,
      "fos_buckling": 0.19869521409236127,
      "fos_yielding": 1.8483807534172243,
      "deflection": 0.050780844559633685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2929": {
      "node_id": "node_2929",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n\nPerformance:\n  Mass: 163.05 kg\n  Factor of Safety: 0.20\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": 163.05256061284658,
      "fos_buckling": 0.19856122264043585,
      "fos_yielding": 1.7783051502593523,
      "deflection": 0.050229130570391134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004736)"
      },
      "parent_node_id": "node_2928",
      "improvement_over_parent": null
    },
    "node_2930": {
      "node_id": "node_2930",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 191.11 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.10750089049583,
      "fos_buckling": 0.22553896160186127,
      "fos_yielding": 2.074742505155492,
      "deflection": 0.043056896045002804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2929",
      "improvement_over_parent": null
    },
    "node_2931": {
      "node_id": "node_2931",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 201.14 kg\n  Factor of Safety: 1.24\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": 201.1379392519216,
      "fos_buckling": 1.2381899145259732,
      "fos_yielding": 4.7353802515375865,
      "deflection": 0.011619678740504893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005097)"
      },
      "parent_node_id": "node_2930",
      "improvement_over_parent": null
    },
    "node_2932": {
      "node_id": "node_2932",
      "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.22\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": 204.75189071889824,
      "fos_buckling": 1.2187304102088687,
      "fos_yielding": 4.729172365186335,
      "deflection": 0.011263093191969893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.269)"
      },
      "parent_node_id": "node_2931",
      "improvement_over_parent": null
    },
    "node_2933": {
      "node_id": "node_2933",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n  Mass: 205.58 kg\n  Factor of Safety: 1.34\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.58143349013608,
      "fos_buckling": 1.341201024020543,
      "fos_yielding": 4.8212674809893175,
      "deflection": 0.011221455530724716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001799)"
      },
      "parent_node_id": "node_2932",
      "improvement_over_parent": null
    },
    "node_2934": {
      "node_id": "node_2934",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0075)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n  Mass: 207.36 kg\n  Factor of Safety: 1.34\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": 207.35893247820897,
      "fos_buckling": 1.3406615969774511,
      "fos_yielding": 4.8213921819438,
      "deflection": 0.011156323661315838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.393)"
      },
      "parent_node_id": "node_2933",
      "improvement_over_parent": null
    },
    "node_2935": {
      "node_id": "node_2935",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 421)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n  Mass: 103.50 kg\n  Factor of Safety: 0.04\n  Max Deflection: 1.11e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 103.5046610069909,
      "fos_buckling": 0.038999481673043124,
      "fos_yielding": 0.34423570333427406,
      "deflection": 111063144913864.61,
      "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 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 115.17 kg\n  Factor of Safety: 0.54\n  Max Deflection: 8.59e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.1684440304985,
      "fos_buckling": 0.5363674651994208,
      "fos_yielding": 3.270854144891331,
      "deflection": 8591154435408.423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2936",
      "improvement_over_parent": null
    },
    "node_2938": {
      "node_id": "node_2938",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n\nPerformance:\n  Mass: 115.62 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.01e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.62155635559141,
      "fos_buckling": 0.988820778326291,
      "fos_yielding": 3.270854144891331,
      "deflection": 10067575271200.113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001221)"
      },
      "parent_node_id": "node_2937",
      "improvement_over_parent": null
    },
    "node_2939": {
      "node_id": "node_2939",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 146.74 kg\n  Factor of Safety: 0.07\n  Max Deflection: 5.28e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.73874892372126,
      "fos_buckling": 0.06511396564325836,
      "fos_yielding": 0.9860844127543579,
      "deflection": 52752961775617.57,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2938",
      "improvement_over_parent": null
    },
    "node_2940": {
      "node_id": "node_2940",
      "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n  Mass: 148.18 kg\n  Factor of Safety: 0.70\n  Max Deflection: 2.63e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.18289659346684,
      "fos_buckling": 0.6955938222693074,
      "fos_yielding": 1.5895716850483805,
      "deflection": 26299953720374.074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.550)"
      },
      "parent_node_id": "node_2939",
      "improvement_over_parent": null
    },
    "node_2941": {
      "node_id": "node_2941",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 158.26 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.25601992951772,
      "fos_buckling": 0.9683945837914758,
      "fos_yielding": 4.149644427969487,
      "deflection": 0.014673654517592016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004729)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n  Mass: 164.51 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.50634067772012,
      "fos_buckling": 1.2773782413745565,
      "fos_yielding": 3.891533257669791,
      "deflection": 0.013887933174682768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003725)"
      },
      "parent_node_id": "node_2941",
      "improvement_over_parent": null
    },
    "node_2943": {
      "node_id": "node_2943",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.80921639997317,
      "fos_buckling": 1.5311301071822778,
      "fos_yielding": 4.839694333232537,
      "deflection": 0.011220776893918951,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2942",
      "improvement_over_parent": null
    },
    "node_2944": {
      "node_id": "node_2944",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 422)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n  Mass: 148.98 kg\n  Factor of Safety: 0.44\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": 148.9822907185174,
      "fos_buckling": 0.43785053909972305,
      "fos_yielding": 2.994312895063439,
      "deflection": 0.021949486578919628,
      "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 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n  Mass: 155.80 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.79779208314952,
      "fos_buckling": 0.43776600995995507,
      "fos_yielding": 2.99400218158989,
      "deflection": 0.021546121045976044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004090)"
      },
      "parent_node_id": "node_2945",
      "improvement_over_parent": null
    },
    "node_2947": {
      "node_id": "node_2947",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 174.06 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.05658396551524,
      "fos_buckling": 1.0460879232393812,
      "fos_yielding": 4.226069169645842,
      "deflection": 0.013840218393317217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006694)"
      },
      "parent_node_id": "node_2946",
      "improvement_over_parent": null
    },
    "node_2948": {
      "node_id": "node_2948",
      "content": "MODIFICATION: Increase 16 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0059)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 175.84 kg\n  Factor of Safety: 1.04\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": 175.8358690858234,
      "fos_buckling": 1.04240908400462,
      "fos_yielding": 4.226520769263166,
      "deflection": 0.013953301056706245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.196)"
      },
      "parent_node_id": "node_2947",
      "improvement_over_parent": null
    },
    "node_2949": {
      "node_id": "node_2949",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0059)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 179.57 kg\n  Factor of Safety: 1.37\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": 179.57481011131438,
      "fos_buckling": 1.3738579081831053,
      "fos_yielding": 4.236616712185052,
      "deflection": 0.012993108300217198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.562)"
      },
      "parent_node_id": "node_2948",
      "improvement_over_parent": null
    },
    "node_2950": {
      "node_id": "node_2950",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 205.06 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.05675870355407,
      "fos_buckling": 1.5315331447192133,
      "fos_yielding": 4.834899371082998,
      "deflection": 0.011416526380166863,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_2949",
      "improvement_over_parent": null
    },
    "node_2951": {
      "node_id": "node_2951",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2950",
      "improvement_over_parent": null
    },
    "node_2952": {
      "node_id": "node_2952",
      "content": "INITIAL DESIGN (Trace 423)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 150.53 kg\n  Factor of Safety: 0.40\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": 150.52938091429928,
      "fos_buckling": 0.3965097799612775,
      "fos_yielding": 3.506542638817856,
      "deflection": 0.017265368602454197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2953": {
      "node_id": "node_2953",
      "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 152.96 kg\n  Factor of Safety: 0.40\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": 152.9559722470399,
      "fos_buckling": 0.39626709921782266,
      "fos_yielding": 3.5055636040846827,
      "deflection": 0.015935552871729926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.631)"
      },
      "parent_node_id": "node_2952",
      "improvement_over_parent": null
    },
    "node_2954": {
      "node_id": "node_2954",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n  Mass: 162.26 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.25698799945405,
      "fos_buckling": 0.16250522358402594,
      "fos_yielding": 3.8996552326515546,
      "deflection": 0.013833810090549082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004677)"
      },
      "parent_node_id": "node_2953",
      "improvement_over_parent": null
    },
    "node_2955": {
      "node_id": "node_2955",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 163.21 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.20825924159817,
      "fos_buckling": 0.21353757150083952,
      "fos_yielding": 4.070331236325151,
      "deflection": 0.01372910223808294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002084)"
      },
      "parent_node_id": "node_2954",
      "improvement_over_parent": null
    },
    "node_2956": {
      "node_id": "node_2956",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 193.23 kg\n  Factor of Safety: 0.25\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": 193.2252025022003,
      "fos_buckling": 0.24617265284967252,
      "fos_yielding": 4.815066312712633,
      "deflection": 0.011627101314461336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2955",
      "improvement_over_parent": null
    },
    "node_2957": {
      "node_id": "node_2957",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65240266823992,
      "fos_buckling": 1.5300811304468673,
      "fos_yielding": 4.8355377974725515,
      "deflection": 0.011229736251321228,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2956",
      "improvement_over_parent": null
    },
    "node_2958": {
      "node_id": "node_2958",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 424)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 175.26 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": 175.25901654522886,
      "fos_buckling": 0.4483413332123283,
      "fos_yielding": 4.135914092099865,
      "deflection": 0.015494810006308856,
      "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: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 187.80 kg\n  Factor of Safety: 1.09\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": 187.79800888519816,
      "fos_buckling": 1.0941097081403113,
      "fos_yielding": 4.835590341882798,
      "deflection": 0.012378992293712863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2959",
      "improvement_over_parent": null
    },
    "node_2961": {
      "node_id": "node_2961",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.68 kg\n  Factor of Safety: 1.36\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": 201.68291576081975,
      "fos_buckling": 1.356971332838805,
      "fos_yielding": 4.836716966158502,
      "deflection": 0.011336901719907236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_2960",
      "improvement_over_parent": null
    },
    "node_2962": {
      "node_id": "node_2962",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69821617046873,
      "fos_buckling": 1.5303627592805058,
      "fos_yielding": 4.836784714926174,
      "deflection": 0.011226882200628117,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.513)"
      },
      "parent_node_id": "node_2961",
      "improvement_over_parent": null
    },
    "node_2963": {
      "node_id": "node_2963",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 425)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n  Mass: 113.16 kg\n  Factor of Safety: 0.15\n  Max Deflection: 1.95e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.1567083000238,
      "fos_buckling": 0.1466746150916249,
      "fos_yielding": 3.150278413112237,
      "deflection": 0.0195399405077193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2965": {
      "node_id": "node_2965",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 147.73 kg\n  Factor of Safety: 0.19\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": 147.73243819882296,
      "fos_buckling": 0.1855187817922034,
      "fos_yielding": 4.112167501790508,
      "deflection": 0.01501696174620327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2964",
      "improvement_over_parent": null
    },
    "node_2966": {
      "node_id": "node_2966",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 165.02 kg\n  Factor of Safety: 0.20\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": 165.0227241667059,
      "fos_buckling": 0.20389381112794644,
      "fos_yielding": 4.593056970100759,
      "deflection": 0.013466032730392026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2965",
      "improvement_over_parent": null
    },
    "node_2967": {
      "node_id": "node_2967",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 171.95 kg\n  Factor of Safety: 0.22\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": 171.94718463937326,
      "fos_buckling": 0.2232489066631674,
      "fos_yielding": 4.287251505756296,
      "deflection": 0.013041454531341874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004161)"
      },
      "parent_node_id": "node_2966",
      "improvement_over_parent": null
    },
    "node_2968": {
      "node_id": "node_2968",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n  Mass: 182.12 kg\n  Factor of Safety: 1.39\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": 182.11534755573769,
      "fos_buckling": 1.3909718862004377,
      "fos_yielding": 4.305625714643887,
      "deflection": 0.012578013339265426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005042)"
      },
      "parent_node_id": "node_2967",
      "improvement_over_parent": null
    },
    "node_2969": {
      "node_id": "node_2969",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6562385807928,
      "fos_buckling": 1.530103487657454,
      "fos_yielding": 4.83562452915274,
      "deflection": 0.011229458654741408,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_2968",
      "improvement_over_parent": null
    },
    "node_2970": {
      "node_id": "node_2970",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2969",
      "improvement_over_parent": null
    },
    "node_2971": {
      "node_id": "node_2971",
      "content": "INITIAL DESIGN (Trace 426)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 161.58 kg\n  Factor of Safety: 0.95\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": 161.5768786031429,
      "fos_buckling": 0.94634311099434,
      "fos_yielding": 4.0283632587195894,
      "deflection": 0.014866577806155053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2972": {
      "node_id": "node_2972",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.66 kg\n  Factor of Safety: 1.09\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": 192.65565371239904,
      "fos_buckling": 1.0933428382669963,
      "fos_yielding": 4.7985624066767665,
      "deflection": 0.012525395002748262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2971",
      "improvement_over_parent": null
    },
    "node_2973": {
      "node_id": "node_2973",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 202.12 kg\n  Factor of Safety: 1.36\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": 202.11996827445387,
      "fos_buckling": 1.3610217088408418,
      "fos_yielding": 4.799904192278821,
      "deflection": 0.011365698094529846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_2972",
      "improvement_over_parent": null
    },
    "node_2974": {
      "node_id": "node_2974",
      "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.04 kg\n  Factor of Safety: 1.40\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": 204.04490850935343,
      "fos_buckling": 1.3958126705479261,
      "fos_yielding": 4.779424374241867,
      "deflection": 0.011319493699303816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.280)"
      },
      "parent_node_id": "node_2973",
      "improvement_over_parent": null
    },
    "node_2975": {
      "node_id": "node_2975",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2974",
      "improvement_over_parent": null
    },
    "node_2976": {
      "node_id": "node_2976",
      "content": "INITIAL DESIGN (Trace 427)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 149.13 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.55e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.12665270715547,
      "fos_buckling": 0.21005762982342313,
      "fos_yielding": 0.9860844127543577,
      "deflection": 15529802400778.312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2977": {
      "node_id": "node_2977",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 170.19 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.19e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.1861994063674,
      "fos_buckling": 0.6717605523031681,
      "fos_yielding": 0.9860844127543579,
      "deflection": 41919901588273.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2976",
      "improvement_over_parent": null
    },
    "node_2978": {
      "node_id": "node_2978",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 172.31 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.10e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.30626188194407,
      "fos_buckling": 0.9378443575733983,
      "fos_yielding": 3.9443376510174315,
      "deflection": 11041555944847.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.362)"
      },
      "parent_node_id": "node_2977",
      "improvement_over_parent": null
    },
    "node_2979": {
      "node_id": "node_2979",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 183.73 kg\n  Factor of Safety: 0.25\n  Max Deflection: 7.08e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.7334620479837,
      "fos_buckling": 0.25153181136924996,
      "fos_yielding": 3.9443376510174315,
      "deflection": 7079260055062.426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_2978",
      "improvement_over_parent": null
    },
    "node_2980": {
      "node_id": "node_2980",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 196.27 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.272454387953,
      "fos_buckling": 1.1544154291561721,
      "fos_yielding": 5.164475842491875,
      "deflection": 0.01190977216949946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_2979",
      "improvement_over_parent": null
    },
    "node_2981": {
      "node_id": "node_2981",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.05 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.05410290020546,
      "fos_buckling": 1.5290730729759152,
      "fos_yielding": 4.842899384174019,
      "deflection": 0.011339955953252935,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_2980",
      "improvement_over_parent": null
    },
    "node_2982": {
      "node_id": "node_2982",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77023472667912,
      "fos_buckling": 1.5309201538201076,
      "fos_yielding": 4.838760166385585,
      "deflection": 0.01122242126985867,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_2981",
      "improvement_over_parent": null
    },
    "node_2983": {
      "node_id": "node_2983",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 428)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 156.71 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.70705873287977,
      "fos_buckling": 0.21261538600722543,
      "fos_yielding": 1.1704138893602514,
      "deflection": 0.0399613202026045,
      "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: Increase 15 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 158.12 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.11925805858692,
      "fos_buckling": 0.25299848698882804,
      "fos_yielding": 1.1702744170574082,
      "deflection": 0.0382191722048502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.244)"
      },
      "parent_node_id": "node_2984",
      "improvement_over_parent": null
    },
    "node_2986": {
      "node_id": "node_2986",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 171.69 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.68654444268807,
      "fos_buckling": 0.38854710963676875,
      "fos_yielding": 4.601824664410442,
      "deflection": 0.014622851681429159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006306)"
      },
      "parent_node_id": "node_2985",
      "improvement_over_parent": null
    },
    "node_2987": {
      "node_id": "node_2987",
      "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0067)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 174.76 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.761182216259,
      "fos_buckling": 0.38895878508038334,
      "fos_yielding": 4.601824664410438,
      "deflection": 0.014272061173454116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.350)"
      },
      "parent_node_id": "node_2986",
      "improvement_over_parent": null
    },
    "node_2988": {
      "node_id": "node_2988",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 195.55 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.5532662173957,
      "fos_buckling": 0.42611858364888716,
      "fos_yielding": 5.148479704017208,
      "deflection": 0.012793611575149057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2987",
      "improvement_over_parent": null
    },
    "node_2989": {
      "node_id": "node_2989",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 205.07 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.06892403439605,
      "fos_buckling": 1.4664444871052986,
      "fos_yielding": 4.800068834163721,
      "deflection": 0.011185857199231502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_2988",
      "improvement_over_parent": null
    },
    "node_2990": {
      "node_id": "node_2990",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 206.20 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.19557185468267,
      "fos_buckling": 1.5166647935958044,
      "fos_yielding": 4.867525054249487,
      "deflection": 0.011146964508715523,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_2989",
      "improvement_over_parent": null
    },
    "node_2991": {
      "node_id": "node_2991",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2990",
      "improvement_over_parent": null
    },
    "node_2992": {
      "node_id": "node_2992",
      "content": "INITIAL DESIGN (Trace 429)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 167.97 kg\n  Factor of Safety: 1.29\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": 167.96522999725877,
      "fos_buckling": 1.2935944946446796,
      "fos_yielding": 4.059118199581219,
      "deflection": 0.013534336313814434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2993": {
      "node_id": "node_2993",
      "content": "MODIFICATION: Increase 19 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 170.09 kg\n  Factor of Safety: 1.32\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": 170.0944470826516,
      "fos_buckling": 1.3246720202070246,
      "fos_yielding": 4.059140403621337,
      "deflection": 0.01345293894686428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.241)"
      },
      "parent_node_id": "node_2992",
      "improvement_over_parent": null
    },
    "node_2994": {
      "node_id": "node_2994",
      "content": "MODIFICATION: Increase 16 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 171.79 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.78862849136445,
      "fos_buckling": 1.3248926551374256,
      "fos_yielding": 4.0624834350575885,
      "deflection": 0.013314024045296467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.242)"
      },
      "parent_node_id": "node_2993",
      "improvement_over_parent": null
    },
    "node_2995": {
      "node_id": "node_2995",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.79050919617868,
      "fos_buckling": 1.5309812063671104,
      "fos_yielding": 4.838641268149906,
      "deflection": 0.011222307297924467,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2994",
      "improvement_over_parent": null
    },
    "node_2996": {
      "node_id": "node_2996",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2995",
      "improvement_over_parent": null
    },
    "node_2997": {
      "node_id": "node_2997",
      "content": "INITIAL DESIGN (Trace 430)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 141.37 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.37098092921215,
      "fos_buckling": 0.9172586594340054,
      "fos_yielding": 3.487122277534715,
      "deflection": 0.01606204183079877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2998": {
      "node_id": "node_2998",
      "content": "MODIFICATION: Increase 20 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 145.99 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.99248479957544,
      "fos_buckling": 1.12253245973613,
      "fos_yielding": 3.4867729148897944,
      "deflection": 0.015528582722022372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.468)"
      },
      "parent_node_id": "node_2997",
      "improvement_over_parent": null
    },
    "node_2999": {
      "node_id": "node_2999",
      "content": "MODIFICATION: Increase 18 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 146.90 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.90105017651516,
      "fos_buckling": 1.1203199787792355,
      "fos_yielding": 3.4862905111042863,
      "deflection": 0.015566271936710237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.181)"
      },
      "parent_node_id": "node_2998",
      "improvement_over_parent": null
    },
    "node_3000": {
      "node_id": "node_3000",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n  Mass: 163.85 kg\n  Factor of Safety: 1.23\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": 163.84586952743285,
      "fos_buckling": 1.2265010524418627,
      "fos_yielding": 3.886565521023976,
      "deflection": 0.013990697546459999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2999",
      "improvement_over_parent": null
    },
    "node_3001": {
      "node_id": "node_3001",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.09 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.08625564309682,
      "fos_buckling": 1.4496621622572832,
      "fos_yielding": 4.788484378385356,
      "deflection": 0.011405909382364137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_3000",
      "improvement_over_parent": null
    },
    "node_3002": {
      "node_id": "node_3002",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52698283048983,
      "fos_buckling": 1.5291785196709147,
      "fos_yielding": 4.832639638590608,
      "deflection": 0.011236518340149453,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.439)"
      },
      "parent_node_id": "node_3001",
      "improvement_over_parent": null
    },
    "node_3003": {
      "node_id": "node_3003",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3002",
      "improvement_over_parent": null
    },
    "node_3004": {
      "node_id": "node_3004",
      "content": "INITIAL DESIGN (Trace 431)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 163.26 kg\n  Factor of Safety: 1.11\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": 163.26320134182473,
      "fos_buckling": 1.1131391737813787,
      "fos_yielding": 3.8348597215130678,
      "deflection": 0.013819789916914117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3005": {
      "node_id": "node_3005",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 202.82 kg\n  Factor of Safety: 1.32\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": 202.818109969968,
      "fos_buckling": 1.3209000981302879,
      "fos_yielding": 4.758502394079243,
      "deflection": 0.011191625558595276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_3004",
      "improvement_over_parent": null
    },
    "node_3006": {
      "node_id": "node_3006",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 203.94 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.9447577902546,
      "fos_buckling": 1.5283027459329974,
      "fos_yielding": 4.839985394735037,
      "deflection": 0.0113466620808725,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3005",
      "improvement_over_parent": null
    },
    "node_3007": {
      "node_id": "node_3007",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66088961672827,
      "fos_buckling": 1.5301510737208481,
      "fos_yielding": 4.835844576095125,
      "deflection": 0.011228947329025766,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_3006",
      "improvement_over_parent": null
    },
    "node_3008": {
      "node_id": "node_3008",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 432)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 143.79 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.79e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.79053381640955,
      "fos_buckling": 0.2531045704572161,
      "fos_yielding": 1.0929470357595448,
      "deflection": 0.03787957982056865,
      "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: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 143.99 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.73e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.98790644679192,
      "fos_buckling": 0.25309616249921696,
      "fos_yielding": 1.092910363388761,
      "deflection": 0.0372585518816037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.289)"
      },
      "parent_node_id": "node_3009",
      "improvement_over_parent": null
    },
    "node_3011": {
      "node_id": "node_3011",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n  Mass: 155.49 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.73e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.4883903967928,
      "fos_buckling": 0.2528514505440123,
      "fos_yielding": 1.1771142065834728,
      "deflection": 0.03732445760242735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005143)"
      },
      "parent_node_id": "node_3010",
      "improvement_over_parent": null
    },
    "node_3012": {
      "node_id": "node_3012",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 165.83 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.8327163938293,
      "fos_buckling": 0.7648798188329645,
      "fos_yielding": 4.025502253164417,
      "deflection": 0.01494145456237386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)"
      },
      "parent_node_id": "node_3011",
      "improvement_over_parent": null
    },
    "node_3013": {
      "node_id": "node_3013",
      "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n  Mass: 167.36 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.35855542895402,
      "fos_buckling": 0.7626030385101294,
      "fos_yielding": 4.0280701735720905,
      "deflection": 0.014884167402522403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.183)"
      },
      "parent_node_id": "node_3012",
      "improvement_over_parent": null
    },
    "node_3014": {
      "node_id": "node_3014",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 169.94 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.9388122362228,
      "fos_buckling": 1.3108121629261826,
      "fos_yielding": 4.014731598612888,
      "deflection": 0.013416705897203573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003394)"
      },
      "parent_node_id": "node_3013",
      "improvement_over_parent": null
    },
    "node_3015": {
      "node_id": "node_3015",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0066)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 205.05 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.04731674433918,
      "fos_buckling": 1.5303387293737867,
      "fos_yielding": 4.8400019164853685,
      "deflection": 0.01117696729421878,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_3014",
      "improvement_over_parent": null
    },
    "node_3016": {
      "node_id": "node_3016",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 433)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 129.68 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.68193460639944,
      "fos_buckling": 0.3351169050510654,
      "fos_yielding": 2.9036451445133924,
      "deflection": 0.02380583856077994,
      "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 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 130.47 kg\n  Factor of Safety: 0.33\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": 130.47031232941663,
      "fos_buckling": 0.3349843551955239,
      "fos_yielding": 2.9034195815576913,
      "deflection": 0.019980943033734648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001704)"
      },
      "parent_node_id": "node_3017",
      "improvement_over_parent": null
    },
    "node_3019": {
      "node_id": "node_3019",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 149.93 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.92522620477482,
      "fos_buckling": 0.37634256498688096,
      "fos_yielding": 3.3322951028074947,
      "deflection": 0.017449688658547426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_3018",
      "improvement_over_parent": null
    },
    "node_3020": {
      "node_id": "node_3020",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 160.01 kg\n  Factor of Safety: 1.05\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": 160.01023046593542,
      "fos_buckling": 1.0504294675075778,
      "fos_yielding": 3.8588989655706656,
      "deflection": 0.013784054675573107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004735)"
      },
      "parent_node_id": "node_3019",
      "improvement_over_parent": null
    },
    "node_3021": {
      "node_id": "node_3021",
      "content": "MODIFICATION: Increase 17 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0072)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 164.51 kg\n  Factor of Safety: 1.04\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": 164.51247482291893,
      "fos_buckling": 1.0424419011819428,
      "fos_yielding": 3.858870424250612,
      "deflection": 0.013657122961861144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.449)"
      },
      "parent_node_id": "node_3020",
      "improvement_over_parent": null
    },
    "node_3022": {
      "node_id": "node_3022",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0091)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.42 kg\n  Factor of Safety: 1.27\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": 204.42130567199635,
      "fos_buckling": 1.2734076645405092,
      "fos_yielding": 4.792855119817506,
      "deflection": 0.011054872047297323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3021",
      "improvement_over_parent": null
    },
    "node_3023": {
      "node_id": "node_3023",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0091)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 206.75 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.74669424791318,
      "fos_buckling": 1.270712303252084,
      "fos_yielding": 4.834135164987018,
      "deflection": 0.010896204452063634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.410)"
      },
      "parent_node_id": "node_3022",
      "improvement_over_parent": null
    },
    "node_3024": {
      "node_id": "node_3024",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3023",
      "improvement_over_parent": null
    },
    "node_3025": {
      "node_id": "node_3025",
      "content": "INITIAL DESIGN (Trace 434)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 177.86 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.86154011347386,
      "fos_buckling": 0.9374241533915229,
      "fos_yielding": 4.719922020289947,
      "deflection": 0.015176172145818718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3026": {
      "node_id": "node_3026",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 180.21 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.20641829578577,
      "fos_buckling": 0.9372489159793981,
      "fos_yielding": 4.719822687601231,
      "deflection": 0.014844548727442147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.217)"
      },
      "parent_node_id": "node_3025",
      "improvement_over_parent": null
    },
    "node_3027": {
      "node_id": "node_3027",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 182.68 kg\n  Factor of Safety: 0.94\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": 182.6830201001955,
      "fos_buckling": 0.9426925325545217,
      "fos_yielding": 4.718335256560222,
      "deflection": 0.014403067070873531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.214)"
      },
      "parent_node_id": "node_3026",
      "improvement_over_parent": null
    },
    "node_3028": {
      "node_id": "node_3028",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 185.01 kg\n  Factor of Safety: 1.09\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": 185.01447521877844,
      "fos_buckling": 1.0939886149928417,
      "fos_yielding": 4.728353481380084,
      "deflection": 0.013558809521456418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.408)"
      },
      "parent_node_id": "node_3027",
      "improvement_over_parent": null
    },
    "node_3029": {
      "node_id": "node_3029",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.08 kg\n  Factor of Safety: 1.09\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": 188.07898802331812,
      "fos_buckling": 1.093893930986829,
      "fos_yielding": 4.780006952302539,
      "deflection": 0.013360240206697835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.613)"
      },
      "parent_node_id": "node_3028",
      "improvement_over_parent": null
    },
    "node_3030": {
      "node_id": "node_3030",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 197.54 kg\n  Factor of Safety: 1.18\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": 197.54330258537294,
      "fos_buckling": 1.1807696199592888,
      "fos_yielding": 4.781218149520792,
      "deflection": 0.012211174516689752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_3029",
      "improvement_over_parent": null
    },
    "node_3031": {
      "node_id": "node_3031",
      "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 201.64 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.64290159028667,
      "fos_buckling": 1.3155565795387774,
      "fos_yielding": 4.791616126891849,
      "deflection": 0.011398285064774819,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.536)"
      },
      "parent_node_id": "node_3030",
      "improvement_over_parent": null
    },
    "node_3032": {
      "node_id": "node_3032",
      "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.06 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.06498228048468,
      "fos_buckling": 1.3502650153557452,
      "fos_yielding": 4.766540296338809,
      "deflection": 0.011339776316719478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.355)"
      },
      "parent_node_id": "node_3031",
      "improvement_over_parent": null
    },
    "node_3033": {
      "node_id": "node_3033",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3032",
      "improvement_over_parent": null
    },
    "node_3034": {
      "node_id": "node_3034",
      "content": "INITIAL DESIGN (Trace 435)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\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_3035": {
      "node_id": "node_3035",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 154.69 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.689477247895,
      "fos_buckling": 0.9126502482220047,
      "fos_yielding": 4.263513103140641,
      "deflection": 0.014782902860889263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004266)"
      },
      "parent_node_id": "node_3034",
      "improvement_over_parent": null
    },
    "node_3036": {
      "node_id": "node_3036",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n  Mass: 154.84 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.48e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.84190877561426,
      "fos_buckling": 0.9126993115037995,
      "fos_yielding": 4.263496987084498,
      "deflection": 0.014783265444355516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.351)"
      },
      "parent_node_id": "node_3035",
      "improvement_over_parent": null
    },
    "node_3037": {
      "node_id": "node_3037",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 163.11 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.11043486958098,
      "fos_buckling": 0.9146998429621869,
      "fos_yielding": 4.216569609440224,
      "deflection": 0.014360533271892456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004484)"
      },
      "parent_node_id": "node_3036",
      "improvement_over_parent": null
    },
    "node_3038": {
      "node_id": "node_3038",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 187.76 kg\n  Factor of Safety: 1.03\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": 187.75588503724163,
      "fos_buckling": 1.032579832996188,
      "fos_yielding": 4.85017818913417,
      "deflection": 0.012505000405506806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_3037",
      "improvement_over_parent": null
    },
    "node_3039": {
      "node_id": "node_3039",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.64 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.64079191286322,
      "fos_buckling": 0.8990271942997585,
      "fos_yielding": 4.85457656464808,
      "deflection": 0.01239943913548727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_3038",
      "improvement_over_parent": null
    },
    "node_3040": {
      "node_id": "node_3040",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75616981258364,
      "fos_buckling": 1.530696436213111,
      "fos_yielding": 4.838214275886028,
      "deflection": 0.01122370061511119,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3039",
      "improvement_over_parent": null
    },
    "node_3041": {
      "node_id": "node_3041",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 436)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0021)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 99.56 kg\n  Factor of Safety: 0.63\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.56062453553741,
      "fos_buckling": 0.6305264991110969,
      "fos_yielding": 2.3991376496058403,
      "deflection": 0.023829698671110993,
      "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 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 129.16 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.15880433357194,
      "fos_buckling": 0.8032747445893249,
      "fos_yielding": 3.109435743634618,
      "deflection": 0.01843702553628018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_3042",
      "improvement_over_parent": null
    },
    "node_3044": {
      "node_id": "node_3044",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 155.82 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.82406150070491,
      "fos_buckling": 0.9532227669265043,
      "fos_yielding": 3.748177017743958,
      "deflection": 0.015332423751416064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_3043",
      "improvement_over_parent": null
    },
    "node_3045": {
      "node_id": "node_3045",
      "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 156.08 kg\n  Factor of Safety: 0.96\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": 156.07962328473724,
      "fos_buckling": 0.9593017254951043,
      "fos_yielding": 3.75634121747058,
      "deflection": 0.015333527981011699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.441)"
      },
      "parent_node_id": "node_3044",
      "improvement_over_parent": null
    },
    "node_3046": {
      "node_id": "node_3046",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.79 kg\n  Factor of Safety: 1.20\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": 200.7930281694712,
      "fos_buckling": 1.1996813599111376,
      "fos_yielding": 4.825330790520158,
      "deflection": 0.01198364157329179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_3045",
      "improvement_over_parent": null
    },
    "node_3047": {
      "node_id": "node_3047",
      "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66728887494753,
      "fos_buckling": 1.5301371484548831,
      "fos_yielding": 4.835810346958145,
      "deflection": 0.011227856145860408,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.493)"
      },
      "parent_node_id": "node_3046",
      "improvement_over_parent": null
    },
    "node_3048": {
      "node_id": "node_3048",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3047",
      "improvement_over_parent": null
    },
    "node_3049": {
      "node_id": "node_3049",
      "content": "INITIAL DESIGN (Trace 437)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 138.47 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.46614630088752,
      "fos_buckling": 0.6679058018517122,
      "fos_yielding": 2.812070655145737,
      "deflection": 0.017723620458914645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3050": {
      "node_id": "node_3050",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n\nPerformance:\n  Mass: 140.67 kg\n  Factor of Safety: 0.83\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": 140.6682370477832,
      "fos_buckling": 0.8301382951614728,
      "fos_yielding": 2.8036399193549566,
      "deflection": 0.016272506576750917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002864)"
      },
      "parent_node_id": "node_3049",
      "improvement_over_parent": null
    },
    "node_3051": {
      "node_id": "node_3051",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 173.86 kg\n  Factor of Safety: 1.01\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": 173.85935868941203,
      "fos_buckling": 1.006735176820713,
      "fos_yielding": 3.4715985840359354,
      "deflection": 0.01322835334571094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_3050",
      "improvement_over_parent": null
    },
    "node_3052": {
      "node_id": "node_3052",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 174.72 kg\n  Factor of Safety: 1.04\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": 174.72166592951788,
      "fos_buckling": 1.0405321963208185,
      "fos_yielding": 4.158808400817206,
      "deflection": 0.01314908110979914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.221)"
      },
      "parent_node_id": "node_3051",
      "improvement_over_parent": null
    },
    "node_3053": {
      "node_id": "node_3053",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 200.05 kg\n  Factor of Safety: 1.17\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": 200.04853262946816,
      "fos_buckling": 1.1735072182377195,
      "fos_yielding": 4.758088367263445,
      "deflection": 0.011526022387477963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3052",
      "improvement_over_parent": null
    },
    "node_3054": {
      "node_id": "node_3054",
      "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0077)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.28 kg\n  Factor of Safety: 1.20\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.27939953616655,
      "fos_buckling": 1.1956821566166655,
      "fos_yielding": 4.718350166818325,
      "deflection": 0.01142156450029976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.639)"
      },
      "parent_node_id": "node_3053",
      "improvement_over_parent": null
    },
    "node_3055": {
      "node_id": "node_3055",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3054",
      "improvement_over_parent": null
    },
    "node_3056": {
      "node_id": "node_3056",
      "content": "INITIAL DESIGN (Trace 438)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 135.97 kg\n  Factor of Safety: 0.66\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": 135.97349667134912,
      "fos_buckling": 0.6576632003364038,
      "fos_yielding": 3.3289572356593995,
      "deflection": 0.01789704261047404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3057": {
      "node_id": "node_3057",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 155.63 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.62744655647975,
      "fos_buckling": 0.7403998681968306,
      "fos_yielding": 3.8075795221526096,
      "deflection": 0.015664925464974805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_3056",
      "improvement_over_parent": null
    },
    "node_3058": {
      "node_id": "node_3058",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 172.88 kg\n  Factor of Safety: 0.81\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": 172.87866971809044,
      "fos_buckling": 0.8104395989835078,
      "fos_yielding": 4.227147378212313,
      "deflection": 0.01412398255542637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3057",
      "improvement_over_parent": null
    },
    "node_3059": {
      "node_id": "node_3059",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 197.45 kg\n  Factor of Safety: 0.91\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": 197.45083799497883,
      "fos_buckling": 0.9060242509075148,
      "fos_yielding": 4.823885247930506,
      "deflection": 0.012394089654467378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3058",
      "improvement_over_parent": null
    },
    "node_3060": {
      "node_id": "node_3060",
      "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 200.59 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.59205281394043,
      "fos_buckling": 0.8951906617834066,
      "fos_yielding": 4.825299158155504,
      "deflection": 0.012387581926698562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.629)"
      },
      "parent_node_id": "node_3059",
      "improvement_over_parent": null
    },
    "node_3061": {
      "node_id": "node_3061",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 201.72 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.71870063422705,
      "fos_buckling": 0.89930000415058,
      "fos_yielding": 4.856355665721654,
      "deflection": 0.012394928716131185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3060",
      "improvement_over_parent": null
    },
    "node_3062": {
      "node_id": "node_3062",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.83407853394746,
      "fos_buckling": 1.531173627136647,
      "fos_yielding": 4.8399821894443615,
      "deflection": 0.01121956722166557,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3061",
      "improvement_over_parent": null
    },
    "node_3063": {
      "node_id": "node_3063",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3062",
      "improvement_over_parent": null
    },
    "node_3064": {
      "node_id": "node_3064",
      "content": "INITIAL DESIGN (Trace 439)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 151.38 kg\n  Factor of Safety: 0.78\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": 151.37957996759206,
      "fos_buckling": 0.7781912537266568,
      "fos_yielding": 4.028258584150865,
      "deflection": 0.01618013168133766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3065": {
      "node_id": "node_3065",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 155.52 kg\n  Factor of Safety: 1.05\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": 155.52099180406725,
      "fos_buckling": 1.05382593078855,
      "fos_yielding": 3.7461132274894373,
      "deflection": 0.015116469426616671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003221)"
      },
      "parent_node_id": "node_3064",
      "improvement_over_parent": null
    },
    "node_3066": {
      "node_id": "node_3066",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 177.21 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.2102300157129,
      "fos_buckling": 1.1814636143295265,
      "fos_yielding": 4.265309884096183,
      "deflection": 0.013304033875083107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_3065",
      "improvement_over_parent": null
    },
    "node_3067": {
      "node_id": "node_3067",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 178.87 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.86593243132427,
      "fos_buckling": 1.1831332417278573,
      "fos_yielding": 4.247542310591356,
      "deflection": 0.013252080012574372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.266)"
      },
      "parent_node_id": "node_3066",
      "improvement_over_parent": null
    },
    "node_3068": {
      "node_id": "node_3068",
      "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0083)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0053)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 182.77 kg\n  Factor of Safety: 1.19\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": 182.76980858399872,
      "fos_buckling": 1.190860627138026,
      "fos_yielding": 4.245576347252574,
      "deflection": 0.012694607702988654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.323)"
      },
      "parent_node_id": "node_3067",
      "improvement_over_parent": null
    },
    "node_3069": {
      "node_id": "node_3069",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0094)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 205.67 kg\n  Factor of Safety: 1.32\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": 205.66645942791968,
      "fos_buckling": 1.3179724284890342,
      "fos_yielding": 4.7762972407755235,
      "deflection": 0.011316773137470803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_3068",
      "improvement_over_parent": null
    },
    "node_3070": {
      "node_id": "node_3070",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3069",
      "improvement_over_parent": null
    },
    "node_3071": {
      "node_id": "node_3071",
      "content": "INITIAL DESIGN (Trace 440)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 156.68 kg\n  Factor of Safety: 0.77\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": 156.67738929214417,
      "fos_buckling": 0.7733285020189165,
      "fos_yielding": 3.8985296510890235,
      "deflection": 0.016216692892466456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3072": {
      "node_id": "node_3072",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 196.71 kg\n  Factor of Safety: 0.95\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": 196.70954659395989,
      "fos_buckling": 0.945946386125375,
      "fos_yielding": 4.887509248805005,
      "deflection": 0.012960583883613734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_3071",
      "improvement_over_parent": null
    },
    "node_3073": {
      "node_id": "node_3073",
      "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 199.11 kg\n  Factor of Safety: 0.95\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": 199.11259269842145,
      "fos_buckling": 0.9489884624877613,
      "fos_yielding": 4.886738233652416,
      "deflection": 0.01296262732560574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.425)"
      },
      "parent_node_id": "node_3072",
      "improvement_over_parent": null
    },
    "node_3074": {
      "node_id": "node_3074",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 199.83 kg\n  Factor of Safety: 0.81\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": 199.8287245248951,
      "fos_buckling": 0.8094991300659664,
      "fos_yielding": 4.849446147850145,
      "deflection": 0.012545000902070447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_3073",
      "improvement_over_parent": null
    },
    "node_3075": {
      "node_id": "node_3075",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 201.23 kg\n  Factor of Safety: 0.81\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": 201.2343553744833,
      "fos_buckling": 0.8074656748001615,
      "fos_yielding": 4.849382558600365,
      "deflection": 0.012544866876034604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.183)"
      },
      "parent_node_id": "node_3074",
      "improvement_over_parent": null
    },
    "node_3076": {
      "node_id": "node_3076",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.35 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.34973327420371,
      "fos_buckling": 1.4677658151903572,
      "fos_yielding": 4.832509374601516,
      "deflection": 0.011162601916967897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3075",
      "improvement_over_parent": null
    },
    "node_3077": {
      "node_id": "node_3077",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3076",
      "improvement_over_parent": null
    },
    "node_3078": {
      "node_id": "node_3078",
      "content": "INITIAL DESIGN (Trace 441)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.43 kg\n  Factor of Safety: 0.72\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": 126.42966156163843,
      "fos_buckling": 0.7189107157124798,
      "fos_yielding": 3.4669640854919574,
      "deflection": 0.016708312081140073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3079": {
      "node_id": "node_3079",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 163.14 kg\n  Factor of Safety: 0.90\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": 163.1376127869891,
      "fos_buckling": 0.8990533411972403,
      "fos_yielding": 4.472778579012944,
      "deflection": 0.013028359496504206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_3078",
      "improvement_over_parent": null
    },
    "node_3080": {
      "node_id": "node_3080",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.38 kg\n  Factor of Safety: 1.02\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": 188.38151075341963,
      "fos_buckling": 1.0153767819087247,
      "fos_yielding": 5.164265698939492,
      "deflection": 0.0113299234713139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3079",
      "improvement_over_parent": null
    },
    "node_3081": {
      "node_id": "node_3081",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 196.99 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.99199978649352,
      "fos_buckling": 1.154499174319882,
      "fos_yielding": 5.164265698939492,
      "deflection": 0.011859898597999248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)"
      },
      "parent_node_id": "node_3080",
      "improvement_over_parent": null
    },
    "node_3082": {
      "node_id": "node_3082",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.773648298746,
      "fos_buckling": 1.5308771295445789,
      "fos_yielding": 4.83869444998112,
      "deflection": 0.011222552216810717,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_3081",
      "improvement_over_parent": null
    },
    "node_3083": {
      "node_id": "node_3083",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3082",
      "improvement_over_parent": null
    },
    "node_3084": {
      "node_id": "node_3084",
      "content": "INITIAL DESIGN (Trace 442)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 136.58 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.12e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.58170477525405,
      "fos_buckling": 0.22402874030577027,
      "fos_yielding": 0.5060379581906256,
      "deflection": 0.08117002149879103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3085": {
      "node_id": "node_3085",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 148.30 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.62e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.29799512088337,
      "fos_buckling": 0.2727693529337964,
      "fos_yielding": 1.6116919600186925,
      "deflection": 0.03623900237525905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005383)"
      },
      "parent_node_id": "node_3084",
      "improvement_over_parent": null
    },
    "node_3086": {
      "node_id": "node_3086",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 157.93 kg\n  Factor of Safety: 1.23\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": 157.93197475577276,
      "fos_buckling": 1.2337300122114827,
      "fos_yielding": 3.7363971429824807,
      "deflection": 0.01445254033921299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004881)"
      },
      "parent_node_id": "node_3085",
      "improvement_over_parent": null
    },
    "node_3087": {
      "node_id": "node_3087",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.69561018777412,
      "fos_buckling": 1.530365637055819,
      "fos_yielding": 4.836678035526065,
      "deflection": 0.011227111109257589,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_3086",
      "improvement_over_parent": null
    },
    "node_3088": {
      "node_id": "node_3088",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3087",
      "improvement_over_parent": null
    },
    "node_3089": {
      "node_id": "node_3089",
      "content": "INITIAL DESIGN (Trace 443)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 156.89 kg\n  Factor of Safety: 0.58\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": 156.88823789462919,
      "fos_buckling": 0.5809270118390566,
      "fos_yielding": 3.9091067117288096,
      "deflection": 0.017709054865244607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3090": {
      "node_id": "node_3090",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 159.23 kg\n  Factor of Safety: 0.58\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": 159.23341503304323,
      "fos_buckling": 0.5808114472597001,
      "fos_yielding": 3.9087107701840766,
      "deflection": 0.016676487042735076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.339)"
      },
      "parent_node_id": "node_3089",
      "improvement_over_parent": null
    },
    "node_3091": {
      "node_id": "node_3091",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 193.74 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.74371366795634,
      "fos_buckling": 0.6824338132699139,
      "fos_yielding": 4.751288502133561,
      "deflection": 0.0137684283229999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_3090",
      "improvement_over_parent": null
    },
    "node_3092": {
      "node_id": "node_3092",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 204.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75937054384332,
      "fos_buckling": 1.5307468981029673,
      "fos_yielding": 4.8381616423469325,
      "deflection": 0.011223550363157721,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_3091",
      "improvement_over_parent": null
    },
    "node_3093": {
      "node_id": "node_3093",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3092",
      "improvement_over_parent": null
    },
    "node_3094": {
      "node_id": "node_3094",
      "content": "INITIAL DESIGN (Trace 444)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 160.29 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.29013814376995,
      "fos_buckling": 0.29497254306725756,
      "fos_yielding": 1.7659300703013832,
      "deflection": 0.033187840173084085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3095": {
      "node_id": "node_3095",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.22 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.21770398705638,
      "fos_buckling": 0.3372936655885271,
      "fos_yielding": 2.0743720017324008,
      "deflection": 0.028247583971819593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_3094",
      "improvement_over_parent": null
    },
    "node_3096": {
      "node_id": "node_3096",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 201.71 kg\n  Factor of Safety: 1.40\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": 201.70551106407314,
      "fos_buckling": 1.395945398089773,
      "fos_yielding": 4.778559176458036,
      "deflection": 0.011449120038460247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_3095",
      "improvement_over_parent": null
    },
    "node_3097": {
      "node_id": "node_3097",
      "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6687445498845,
      "fos_buckling": 1.5301957695953654,
      "fos_yielding": 4.836004373560576,
      "deflection": 0.011228328776618111,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.582)"
      },
      "parent_node_id": "node_3096",
      "improvement_over_parent": null
    },
    "node_3098": {
      "node_id": "node_3098",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3097",
      "improvement_over_parent": null
    },
    "node_3099": {
      "node_id": "node_3099",
      "content": "INITIAL DESIGN (Trace 445)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 180.25 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.63e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.24806733114204,
      "fos_buckling": 0.276718496100527,
      "fos_yielding": 1.070523924292669,
      "deflection": 0.03633322327467309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3100": {
      "node_id": "node_3100",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 180.43 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.45e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.42854052877198,
      "fos_buckling": 0.2767017672003018,
      "fos_yielding": 1.336810471030224,
      "deflection": 0.03454471038665589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.370)"
      },
      "parent_node_id": "node_3099",
      "improvement_over_parent": null
    },
    "node_3101": {
      "node_id": "node_3101",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 195.61 kg\n  Factor of Safety: 1.23\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": 195.61309454367338,
      "fos_buckling": 1.2255712867393616,
      "fos_yielding": 4.8312070059757195,
      "deflection": 0.011781073743984844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_3100",
      "improvement_over_parent": null
    },
    "node_3102": {
      "node_id": "node_3102",
      "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 199.52 kg\n  Factor of Safety: 1.23\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": 199.5161650341096,
      "fos_buckling": 1.2270209433152637,
      "fos_yielding": 4.832088492491097,
      "deflection": 0.011956407316177843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.391)"
      },
      "parent_node_id": "node_3101",
      "improvement_over_parent": null
    },
    "node_3103": {
      "node_id": "node_3103",
      "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0104)]\n\nPerformance:\n  Mass: 205.62 kg\n  Factor of Safety: 1.22\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": 205.62416009800674,
      "fos_buckling": 1.2224615743410754,
      "fos_yielding": 4.829158041845279,
      "deflection": 0.011316717308899035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.464)"
      },
      "parent_node_id": "node_3102",
      "improvement_over_parent": null
    },
    "node_3104": {
      "node_id": "node_3104",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3103",
      "improvement_over_parent": null
    },
    "node_3105": {
      "node_id": "node_3105",
      "content": "INITIAL DESIGN (Trace 446)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 124.59 kg\n  Factor of Safety: 0.09\n  Max Deflection: 6.76e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.58599737557856,
      "fos_buckling": 0.087154374331428,
      "fos_yielding": 1.3147792170058101,
      "deflection": 6763855643478.046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3106": {
      "node_id": "node_3106",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 127.02 kg\n  Factor of Safety: 0.11\n  Max Deflection: 8.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.020357663902,
      "fos_buckling": 0.11143741892620308,
      "fos_yielding": 1.681104402674921,
      "deflection": 0.08008527625689008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003188)"
      },
      "parent_node_id": "node_3105",
      "improvement_over_parent": null
    },
    "node_3107": {
      "node_id": "node_3107",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 130.83 kg\n  Factor of Safety: 0.11\n  Max Deflection: 7.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.83227225277267,
      "fos_buckling": 0.11477489344850726,
      "fos_yielding": 1.7314523303936744,
      "deflection": 0.07963918140960055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.431)"
      },
      "parent_node_id": "node_3106",
      "improvement_over_parent": null
    },
    "node_3108": {
      "node_id": "node_3108",
      "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 134.21 kg\n  Factor of Safety: 0.11\n  Max Deflection: 7.67e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.2119437202144,
      "fos_buckling": 0.11472993799132741,
      "fos_yielding": 1.7307741487046373,
      "deflection": 0.07670862695373153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.562)"
      },
      "parent_node_id": "node_3107",
      "improvement_over_parent": null
    },
    "node_3109": {
      "node_id": "node_3109",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 134.77 kg\n  Factor of Safety: 0.18\n  Max Deflection: 4.73e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.7713312920019,
      "fos_buckling": 0.1842864626314496,
      "fos_yielding": 1.0968560605217212,
      "deflection": 0.04728180970440532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001528)"
      },
      "parent_node_id": "node_3108",
      "improvement_over_parent": null
    },
    "node_3110": {
      "node_id": "node_3110",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 146.64 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.45e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.63772706309854,
      "fos_buckling": 0.3974844097192134,
      "fos_yielding": 1.907337832258615,
      "deflection": 0.024507110252241168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005457)"
      },
      "parent_node_id": "node_3109",
      "improvement_over_parent": null
    },
    "node_3111": {
      "node_id": "node_3111",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 162.93 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.93040783415003,
      "fos_buckling": 1.003864754151619,
      "fos_yielding": 3.171203503073793,
      "deflection": 0.014092610116208625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005920)"
      },
      "parent_node_id": "node_3110",
      "improvement_over_parent": null
    },
    "node_3112": {
      "node_id": "node_3112",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n  M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0078)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 208.23 kg\n  Factor of Safety: 1.26\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.23365470001215,
      "fos_buckling": 1.255463621599081,
      "fos_yielding": 4.07539216903382,
      "deflection": 0.01108379338801431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_3111",
      "improvement_over_parent": null
    },
    "node_3113": {
      "node_id": "node_3113",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3112",
      "improvement_over_parent": null
    },
    "node_3114": {
      "node_id": "node_3114",
      "content": "INITIAL DESIGN (Trace 447)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 140.12 kg\n  Factor of Safety: 0.22\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": 140.12067328682645,
      "fos_buckling": 0.21638507570127774,
      "fos_yielding": 3.836246749382002,
      "deflection": 0.01624685787104463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3115": {
      "node_id": "node_3115",
      "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 143.38 kg\n  Factor of Safety: 0.21\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": 143.38030121680015,
      "fos_buckling": 0.2124259510073572,
      "fos_yielding": 3.885755028153753,
      "deflection": 0.016109416107264084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.511)"
      },
      "parent_node_id": "node_3114",
      "improvement_over_parent": null
    },
    "node_3116": {
      "node_id": "node_3116",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 144.63 kg\n  Factor of Safety: 0.21\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": 144.62904575411002,
      "fos_buckling": 0.2054043327295348,
      "fos_yielding": 3.8873974363406263,
      "deflection": 0.01608637831078036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.176)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 179.40 kg\n  Factor of Safety: 0.25\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": 179.4043459913658,
      "fos_buckling": 0.24655238714657685,
      "fos_yielding": 4.817360386669803,
      "deflection": 0.013010222664836557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_3116",
      "improvement_over_parent": null
    },
    "node_3118": {
      "node_id": "node_3118",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 193.29 kg\n  Factor of Safety: 0.25\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": 193.2892528669874,
      "fos_buckling": 0.24626649716381196,
      "fos_yielding": 4.8168511682716115,
      "deflection": 0.011623005822361343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_3117",
      "improvement_over_parent": null
    },
    "node_3119": {
      "node_id": "node_3119",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71645303302702,
      "fos_buckling": 1.5305130732611358,
      "fos_yielding": 4.837325459035361,
      "deflection": 0.011225770548978201,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_3118",
      "improvement_over_parent": null
    },
    "node_3120": {
      "node_id": "node_3120",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3119",
      "improvement_over_parent": null
    },
    "node_3121": {
      "node_id": "node_3121",
      "content": "INITIAL DESIGN (Trace 448)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 106.95 kg\n  Factor of Safety: 0.84\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": 106.95038056153793,
      "fos_buckling": 0.8434312244480301,
      "fos_yielding": 2.5555209959593572,
      "deflection": 0.021138781452148914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3122": {
      "node_id": "node_3122",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 132.43 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.43380548017217,
      "fos_buckling": 1.0203755991142511,
      "fos_yielding": 3.1620989704893887,
      "deflection": 0.01713592898502868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_3121",
      "improvement_over_parent": null
    },
    "node_3123": {
      "node_id": "node_3123",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n  Mass: 150.30 kg\n  Factor of Safety: 1.14\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": 150.30273035393543,
      "fos_buckling": 1.1391547893397547,
      "fos_yielding": 3.586886240685288,
      "deflection": 0.015138714180841253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_3122",
      "improvement_over_parent": null
    },
    "node_3124": {
      "node_id": "node_3124",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 177.52 kg\n  Factor of Safety: 1.31\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": 177.52442588532088,
      "fos_buckling": 1.3118660339935588,
      "fos_yielding": 4.233141939276556,
      "deflection": 0.012868948206486134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_3123",
      "improvement_over_parent": null
    },
    "node_3125": {
      "node_id": "node_3125",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n  Mass: 178.42 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.42313906204,
      "fos_buckling": 1.3675271899942583,
      "fos_yielding": 4.21889851849752,
      "deflection": 0.012831013368866414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.261)"
      },
      "parent_node_id": "node_3124",
      "improvement_over_parent": null
    },
    "node_3126": {
      "node_id": "node_3126",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.57222728876283,
      "fos_buckling": 1.529629492676519,
      "fos_yielding": 4.833817636049069,
      "deflection": 0.01123361396916364,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_3125",
      "improvement_over_parent": null
    },
    "node_3127": {
      "node_id": "node_3127",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3126",
      "improvement_over_parent": null
    },
    "node_3128": {
      "node_id": "node_3128",
      "content": "INITIAL DESIGN (Trace 449)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 115.14 kg\n  Factor of Safety: 0.84\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": 115.14451556565417,
      "fos_buckling": 0.8355718178827103,
      "fos_yielding": 2.869409080656142,
      "deflection": 0.02010084186497995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3129": {
      "node_id": "node_3129",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 115.71 kg\n  Factor of Safety: 0.84\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": 115.7108270878485,
      "fos_buckling": 0.8353727959195681,
      "fos_yielding": 2.8608133500941593,
      "deflection": 0.020050463959401337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.232)"
      },
      "parent_node_id": "node_3128",
      "improvement_over_parent": null
    },
    "node_3130": {
      "node_id": "node_3130",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 117.62 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.6157013884842,
      "fos_buckling": 0.9200915662683489,
      "fos_yielding": 2.8594727713320873,
      "deflection": 0.019092594100382082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.284)"
      },
      "parent_node_id": "node_3129",
      "improvement_over_parent": null
    },
    "node_3131": {
      "node_id": "node_3131",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 134.05 kg\n  Factor of Safety: 1.03\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": 134.04802133208813,
      "fos_buckling": 1.0330801824418725,
      "fos_yielding": 3.2570924186210792,
      "deflection": 0.01679337744472761,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_3130",
      "improvement_over_parent": null
    },
    "node_3132": {
      "node_id": "node_3132",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 165.57 kg\n  Factor of Safety: 1.24\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": 165.56516536506788,
      "fos_buckling": 1.2392691335428827,
      "fos_yielding": 4.018395803953185,
      "deflection": 0.013660680552778174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_3131",
      "improvement_over_parent": null
    },
    "node_3133": {
      "node_id": "node_3133",
      "content": "MODIFICATION: Increase 19 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 169.92 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.91661734603764,
      "fos_buckling": 1.3126632829822475,
      "fos_yielding": 4.018488288658967,
      "deflection": 0.013456625763792496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.653)"
      },
      "parent_node_id": "node_3132",
      "improvement_over_parent": null
    },
    "node_3134": {
      "node_id": "node_3134",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.72881377861225,
      "fos_buckling": 1.5305201187756583,
      "fos_yielding": 4.837276806129764,
      "deflection": 0.011225259372787108,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_3133",
      "improvement_over_parent": null
    },
    "node_3135": {
      "node_id": "node_3135",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3134",
      "improvement_over_parent": null
    },
    "node_3136": {
      "node_id": "node_3136",
      "content": "INITIAL DESIGN (Trace 450)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 138.77 kg\n  Factor of Safety: 0.87\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": 138.7727389534559,
      "fos_buckling": 0.8678128837713551,
      "fos_yielding": 2.703636986635061,
      "deflection": 0.016680359580632832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3137": {
      "node_id": "node_3137",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 171.57 kg\n  Factor of Safety: 1.05\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": 171.57336217981648,
      "fos_buckling": 1.0473852790189824,
      "fos_yielding": 3.355483590077585,
      "deflection": 0.013559408180562867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_3136",
      "improvement_over_parent": null
    },
    "node_3138": {
      "node_id": "node_3138",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 171.93 kg\n  Factor of Safety: 1.05\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": 171.92715175157974,
      "fos_buckling": 1.0472011783922477,
      "fos_yielding": 3.3571330365254637,
      "deflection": 0.013560553745072064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.597)"
      },
      "parent_node_id": "node_3137",
      "improvement_over_parent": null
    },
    "node_3139": {
      "node_id": "node_3139",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 172.56 kg\n  Factor of Safety: 1.05\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": 172.56013813638907,
      "fos_buckling": 1.0469816726110666,
      "fos_yielding": 3.35598390821493,
      "deflection": 0.013513134715124114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001746)"
      },
      "parent_node_id": "node_3138",
      "improvement_over_parent": null
    },
    "node_3140": {
      "node_id": "node_3140",
      "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0081)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 177.83 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.83133384401975,
      "fos_buckling": 1.0566850359734494,
      "fos_yielding": 3.355817062248548,
      "deflection": 0.01307707688978195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.541)"
      },
      "parent_node_id": "node_3139",
      "improvement_over_parent": null
    },
    "node_3141": {
      "node_id": "node_3141",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 201.02 kg\n  Factor of Safety: 1.18\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": 201.023209832061,
      "fos_buckling": 1.1825370738221392,
      "fos_yielding": 3.806647082579274,
      "deflection": 0.01160723833327553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_3140",
      "improvement_over_parent": null
    },
    "node_3142": {
      "node_id": "node_3142",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 208.80 kg\n  Factor of Safety: 1.18\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": 208.8048583443135,
      "fos_buckling": 1.182714479824004,
      "fos_yielding": 3.807218161536864,
      "deflection": 0.011162670974296447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_3141",
      "improvement_over_parent": null
    },
    "node_3143": {
      "node_id": "node_3143",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3142",
      "improvement_over_parent": null
    },
    "node_3144": {
      "node_id": "node_3144",
      "content": "INITIAL DESIGN (Trace 451)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 148.77 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.772443299352,
      "fos_buckling": 0.39186292796542604,
      "fos_yielding": 3.489818977582178,
      "deflection": 0.015970810498673244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3145": {
      "node_id": "node_3145",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n  Mass: 158.40 kg\n  Factor of Safety: 0.39\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": 158.39564752020746,
      "fos_buckling": 0.3909224071724688,
      "fos_yielding": 3.488166585947803,
      "deflection": 0.017673153343240385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004750)"
      },
      "parent_node_id": "node_3144",
      "improvement_over_parent": null
    },
    "node_3146": {
      "node_id": "node_3146",
      "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n  Mass: 161.22 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.2157935197393,
      "fos_buckling": 0.390464669554207,
      "fos_yielding": 3.487360080102966,
      "deflection": 0.01736386621920075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.471)"
      },
      "parent_node_id": "node_3145",
      "improvement_over_parent": null
    },
    "node_3147": {
      "node_id": "node_3147",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n  Mass: 161.82 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.8185829966763,
      "fos_buckling": 0.39038650589270657,
      "fos_yielding": 3.487222208768197,
      "deflection": 0.016967985390321738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001656)"
      },
      "parent_node_id": "node_3146",
      "improvement_over_parent": null
    },
    "node_3148": {
      "node_id": "node_3148",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n  Mass: 172.38 kg\n  Factor of Safety: 1.33\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": 172.37891966044361,
      "fos_buckling": 1.328667486933136,
      "fos_yielding": 4.076584395089146,
      "deflection": 0.013269300647299762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004976)"
      },
      "parent_node_id": "node_3147",
      "improvement_over_parent": null
    },
    "node_3149": {
      "node_id": "node_3149",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7099841343159,
      "fos_buckling": 1.5304416766263669,
      "fos_yielding": 4.8369891603913775,
      "deflection": 0.01122636156365443,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3148",
      "improvement_over_parent": null
    },
    "node_3150": {
      "node_id": "node_3150",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3149",
      "improvement_over_parent": null
    },
    "node_3151": {
      "node_id": "node_3151",
      "content": "INITIAL DESIGN (Trace 452)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n  Mass: 112.17 kg\n  Factor of Safety: 0.84\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": 112.16772387816164,
      "fos_buckling": 0.8393027839124989,
      "fos_yielding": 2.6883361236036447,
      "deflection": 0.020673200344543993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3152": {
      "node_id": "node_3152",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 128.84 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.84348264249286,
      "fos_buckling": 0.9518971085942997,
      "fos_yielding": 3.0863776372186615,
      "deflection": 0.018038055152251063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3151",
      "improvement_over_parent": null
    },
    "node_3153": {
      "node_id": "node_3153",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 163.28 kg\n  Factor of Safety: 1.17\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": 163.27761672980165,
      "fos_buckling": 1.1745275078419886,
      "fos_yielding": 3.906943741196486,
      "deflection": 0.014299710366878726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_3152",
      "improvement_over_parent": null
    },
    "node_3154": {
      "node_id": "node_3154",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 165.12 kg\n  Factor of Safety: 1.28\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": 165.116933445939,
      "fos_buckling": 1.2813381206488217,
      "fos_yielding": 3.905680646271289,
      "deflection": 0.013838466174938828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.190)"
      },
      "parent_node_id": "node_3153",
      "improvement_over_parent": null
    },
    "node_3155": {
      "node_id": "node_3155",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.66894220138994,
      "fos_buckling": 1.530224630136963,
      "fos_yielding": 4.836114922258962,
      "deflection": 0.011228754074143404,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_3154",
      "improvement_over_parent": null
    },
    "node_3156": {
      "node_id": "node_3156",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 453)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 117.97 kg\n  Factor of Safety: 0.35\n  Max Deflection: 2.76e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.9668538526698,
      "fos_buckling": 0.35231740884916823,
      "fos_yielding": 2.3264333669869184,
      "deflection": 0.02762325586510541,
      "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: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 135.48 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.47571219346634,
      "fos_buckling": 0.3969967079413303,
      "fos_yielding": 2.6687223413573884,
      "deflection": 0.024097809214225347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3157",
      "improvement_over_parent": null
    },
    "node_3159": {
      "node_id": "node_3159",
      "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 137.33 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.40e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.32551679459712,
      "fos_buckling": 0.396934225015899,
      "fos_yielding": 2.6684966678274975,
      "deflection": 0.024006412780089068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.294)"
      },
      "parent_node_id": "node_3158",
      "improvement_over_parent": null
    },
    "node_3160": {
      "node_id": "node_3160",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 143.39 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.3897495611904,
      "fos_buckling": 0.39686596803718,
      "fos_yielding": 2.668250102208868,
      "deflection": 0.02359397007672875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003606)"
      },
      "parent_node_id": "node_3159",
      "improvement_over_parent": null
    },
    "node_3161": {
      "node_id": "node_3161",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 184.01 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.85e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.011505041531,
      "fos_buckling": 0.4880613874978347,
      "fos_yielding": 3.416381751440538,
      "deflection": 0.018456487075216847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3160",
      "improvement_over_parent": null
    },
    "node_3162": {
      "node_id": "node_3162",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8597165305095,
      "fos_buckling": 1.5306932414899745,
      "fos_yielding": 4.841091098167931,
      "deflection": 0.011218056829491363,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_3161",
      "improvement_over_parent": null
    },
    "node_3163": {
      "node_id": "node_3163",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3162",
      "improvement_over_parent": null
    },
    "node_3164": {
      "node_id": "node_3164",
      "content": "INITIAL DESIGN (Trace 454)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 117.97 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.96727335650688,
      "fos_buckling": 0.2631888736218219,
      "fos_yielding": 2.2671281559582677,
      "deflection": 0.021282996720329732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3165": {
      "node_id": "node_3165",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n\nPerformance:\n  Mass: 124.60 kg\n  Factor of Safety: 0.81\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": 124.59557887904168,
      "fos_buckling": 0.8079120558737909,
      "fos_yielding": 2.2671281559582677,
      "deflection": 0.019026304736645308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003537)"
      },
      "parent_node_id": "node_3164",
      "improvement_over_parent": null
    },
    "node_3166": {
      "node_id": "node_3166",
      "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n\nPerformance:\n  Mass: 126.10 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.09552802928181,
      "fos_buckling": 0.8079120558737909,
      "fos_yielding": 3.5966011447739294,
      "deflection": 0.019026304736645308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.623)"
      },
      "parent_node_id": "node_3165",
      "improvement_over_parent": null
    },
    "node_3167": {
      "node_id": "node_3167",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n  Mass: 131.52 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.5165303157063,
      "fos_buckling": 0.8077877345459364,
      "fos_yielding": 3.3703234989291233,
      "deflection": 0.018092602731845497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003199)"
      },
      "parent_node_id": "node_3166",
      "improvement_over_parent": null
    },
    "node_3168": {
      "node_id": "node_3168",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n  Mass: 132.92 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.92295044473053,
      "fos_buckling": 0.8076909995690054,
      "fos_yielding": 3.373525421539807,
      "deflection": 0.01762401183439927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.205)"
      },
      "parent_node_id": "node_3167",
      "improvement_over_parent": null
    },
    "node_3169": {
      "node_id": "node_3169",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n  Mass: 142.60 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.59569445681038,
      "fos_buckling": 1.1297004347823565,
      "fos_yielding": 3.3745314206932298,
      "deflection": 0.01597109752926846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004273)"
      },
      "parent_node_id": "node_3168",
      "improvement_over_parent": null
    },
    "node_3170": {
      "node_id": "node_3170",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 159.22 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.22174929886472,
      "fos_buckling": 1.2423398980411795,
      "fos_yielding": 3.7663115376568426,
      "deflection": 0.014338266281388888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_3169",
      "improvement_over_parent": null
    },
    "node_3171": {
      "node_id": "node_3171",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.48388877380873,
      "fos_buckling": 1.5291075126462612,
      "fos_yielding": 4.831115956811874,
      "deflection": 0.011238460287709898,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_3170",
      "improvement_over_parent": null
    },
    "node_3172": {
      "node_id": "node_3172",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3171",
      "improvement_over_parent": null
    },
    "node_3173": {
      "node_id": "node_3173",
      "content": "INITIAL DESIGN (Trace 455)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0022)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 98.13 kg\n  Factor of Safety: 0.52\n  Max Deflection: 2.88e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.13185213435915,
      "fos_buckling": 0.5157194821017871,
      "fos_yielding": 2.174652888265574,
      "deflection": 0.028849084583611566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3174": {
      "node_id": "node_3174",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 119.47 kg\n  Factor of Safety: 0.62\n  Max Deflection: 2.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.47070046361264,
      "fos_buckling": 0.6164726406388988,
      "fos_yielding": 2.6519383413913347,
      "deflection": 0.023706384463213267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3173",
      "improvement_over_parent": null
    },
    "node_3175": {
      "node_id": "node_3175",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 123.33 kg\n  Factor of Safety: 0.56\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": 123.3348798139335,
      "fos_buckling": 0.5591849606446364,
      "fos_yielding": 3.006493909560357,
      "deflection": 0.02118546784074319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.664)"
      },
      "parent_node_id": "node_3174",
      "improvement_over_parent": null
    },
    "node_3176": {
      "node_id": "node_3176",
      "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n  Mass: 125.93 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.97e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.9337435282419,
      "fos_buckling": 0.5975758854361728,
      "fos_yielding": 3.0381805816927536,
      "deflection": 0.019725137192759555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.437)"
      },
      "parent_node_id": "node_3175",
      "improvement_over_parent": null
    },
    "node_3177": {
      "node_id": "node_3177",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 155.68 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.68292968776842,
      "fos_buckling": 0.7212527311877737,
      "fos_yielding": 3.7528487460191173,
      "deflection": 0.015997173217214278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_3176",
      "improvement_over_parent": null
    },
    "node_3178": {
      "node_id": "node_3178",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.50 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.49862111902522,
      "fos_buckling": 0.8985366795420096,
      "fos_yielding": 4.851225764700427,
      "deflection": 0.012408936791229301,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_3177",
      "improvement_over_parent": null
    },
    "node_3179": {
      "node_id": "node_3179",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.61399901874563,
      "fos_buckling": 1.5299625222358488,
      "fos_yielding": 4.834871566661474,
      "deflection": 0.011231740486122884,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3178",
      "improvement_over_parent": null
    },
    "node_3180": {
      "node_id": "node_3180",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 456)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.46 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.45758318618027,
      "fos_buckling": 1.0941259225773419,
      "fos_yielding": 4.855759884720896,
      "deflection": 0.013743520086066404,
      "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: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 194.25 kg\n  Factor of Safety: 1.14\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": 194.25434039022568,
      "fos_buckling": 1.1353884051748881,
      "fos_yielding": 4.857087788955261,
      "deflection": 0.012445011584224844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004560)"
      },
      "parent_node_id": "node_3181",
      "improvement_over_parent": null
    },
    "node_3183": {
      "node_id": "node_3183",
      "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 198.72 kg\n  Factor of Safety: 1.32\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": 198.7183765881585,
      "fos_buckling": 1.3189482175222076,
      "fos_yielding": 4.868844150353966,
      "deflection": 0.011513439807954561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.610)"
      },
      "parent_node_id": "node_3182",
      "improvement_over_parent": null
    },
    "node_3184": {
      "node_id": "node_3184",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 201.28 kg\n  Factor of Safety: 1.32\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": 201.28317138879893,
      "fos_buckling": 1.317929206296145,
      "fos_yielding": 4.868631940290847,
      "deflection": 0.011344207575153694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.242)"
      },
      "parent_node_id": "node_3183",
      "improvement_over_parent": null
    },
    "node_3185": {
      "node_id": "node_3185",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 202.50 kg\n  Factor of Safety: 1.22\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": 202.49827493873772,
      "fos_buckling": 1.2247436581306579,
      "fos_yielding": 5.60578100069584,
      "deflection": 0.011299980675130416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.235)"
      },
      "parent_node_id": "node_3184",
      "improvement_over_parent": null
    },
    "node_3186": {
      "node_id": "node_3186",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n  Mass: 204.24 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.24450984645046,
      "fos_buckling": 1.5025735982268364,
      "fos_yielding": 5.605854227986671,
      "deflection": 0.011230286688351496,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.538)"
      },
      "parent_node_id": "node_3185",
      "improvement_over_parent": null
    },
    "node_3187": {
      "node_id": "node_3187",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3186",
      "improvement_over_parent": null
    },
    "node_3188": {
      "node_id": "node_3188",
      "content": "INITIAL DESIGN (Trace 457)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n  Mass: 153.60 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": 153.59890847149669,
      "fos_buckling": 0.42284893830099723,
      "fos_yielding": 2.8740824365607165,
      "deflection": 0.021919120966510768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3189": {
      "node_id": "node_3189",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 171.12 kg\n  Factor of Safety: 1.15\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": 171.12295375833313,
      "fos_buckling": 1.153351771075103,
      "fos_yielding": 4.00460080072041,
      "deflection": 0.01324575866733952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006403)"
      },
      "parent_node_id": "node_3188",
      "improvement_over_parent": null
    },
    "node_3190": {
      "node_id": "node_3190",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.53 kg\n  Factor of Safety: 1.32\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": 203.53141409197988,
      "fos_buckling": 1.3216825259004474,
      "fos_yielding": 4.758671295615116,
      "deflection": 0.011190421789213888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_3189",
      "improvement_over_parent": null
    },
    "node_3191": {
      "node_id": "node_3191",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6580619122665,
      "fos_buckling": 1.5301508718145236,
      "fos_yielding": 4.835792264125487,
      "deflection": 0.011229099087194072,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3190",
      "improvement_over_parent": null
    },
    "node_3192": {
      "node_id": "node_3192",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3191",
      "improvement_over_parent": null
    },
    "node_3193": {
      "node_id": "node_3193",
      "content": "INITIAL DESIGN (Trace 458)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 122.38 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.38109075005752,
      "fos_buckling": 0.25552350368844423,
      "fos_yielding": 3.0237368963192637,
      "deflection": 0.02162067727847764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3194": {
      "node_id": "node_3194",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n\nPerformance:\n  Mass: 128.76 kg\n  Factor of Safety: 0.32\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": 128.75945550759965,
      "fos_buckling": 0.3152786123966499,
      "fos_yielding": 3.3092572786997647,
      "deflection": 0.01902159801717061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003679)"
      },
      "parent_node_id": "node_3193",
      "improvement_over_parent": null
    },
    "node_3195": {
      "node_id": "node_3195",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n  Mass: 167.00 kg\n  Factor of Safety: 0.39\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": 166.99962255512008,
      "fos_buckling": 0.39288512906575757,
      "fos_yielding": 4.28655379534962,
      "deflection": 0.014742868703726443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_3194",
      "improvement_over_parent": null
    },
    "node_3196": {
      "node_id": "node_3196",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 175.32 kg\n  Factor of Safety: 1.33\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": 175.31918115487866,
      "fos_buckling": 1.334478068748122,
      "fos_yielding": 4.229588350667388,
      "deflection": 0.013127922647336544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004514)"
      },
      "parent_node_id": "node_3195",
      "improvement_over_parent": null
    },
    "node_3197": {
      "node_id": "node_3197",
      "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n  Mass: 178.87 kg\n  Factor of Safety: 1.37\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.86507650481485,
      "fos_buckling": 1.3704433659323285,
      "fos_yielding": 4.22925237686857,
      "deflection": 0.01280041720413961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.433)"
      },
      "parent_node_id": "node_3196",
      "improvement_over_parent": null
    },
    "node_3198": {
      "node_id": "node_3198",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.42907071944094,
      "fos_buckling": 1.5288743837740832,
      "fos_yielding": 4.830401693218046,
      "deflection": 0.011241490096306105,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3197",
      "improvement_over_parent": null
    },
    "node_3199": {
      "node_id": "node_3199",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3198",
      "improvement_over_parent": null
    },
    "node_3200": {
      "node_id": "node_3200",
      "content": "INITIAL DESIGN (Trace 459)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 119.40 kg\n  Factor of Safety: 0.97\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": 119.39800763591148,
      "fos_buckling": 0.9659296326922766,
      "fos_yielding": 2.827667697765207,
      "deflection": 0.01900901001333147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3201": {
      "node_id": "node_3201",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 144.54 kg\n  Factor of Safety: 1.14\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": 144.53802209471357,
      "fos_buckling": 1.1430494094347843,
      "fos_yielding": 3.420742659295642,
      "deflection": 0.01576081097171893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_3200",
      "improvement_over_parent": null
    },
    "node_3202": {
      "node_id": "node_3202",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 165.37 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.37119807859565,
      "fos_buckling": 1.2829901043466108,
      "fos_yielding": 3.911609735213619,
      "deflection": 0.013817376953870416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_3201",
      "improvement_over_parent": null
    },
    "node_3203": {
      "node_id": "node_3203",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.68215031159514,
      "fos_buckling": 1.530282978257036,
      "fos_yielding": 4.836354403042815,
      "deflection": 0.01122779286301517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3202",
      "improvement_over_parent": null
    },
    "node_3204": {
      "node_id": "node_3204",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3203",
      "improvement_over_parent": null
    },
    "node_3205": {
      "node_id": "node_3205",
      "content": "INITIAL DESIGN (Trace 460)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n  Mass: 93.16 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.92e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.16411468585369,
      "fos_buckling": 0.3760189326314672,
      "fos_yielding": 2.0770884509051095,
      "deflection": 0.0292488447015223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3206": {
      "node_id": "node_3206",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n\nPerformance:\n  Mass: 98.68 kg\n  Factor of Safety: 0.64\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.68484233702237,
      "fos_buckling": 0.6445045198733825,
      "fos_yielding": 2.588190775951368,
      "deflection": 0.023310557331273636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002691)"
      },
      "parent_node_id": "node_3205",
      "improvement_over_parent": null
    },
    "node_3207": {
      "node_id": "node_3207",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n\nPerformance:\n  Mass: 126.88 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.87627238675863,
      "fos_buckling": 0.8038416521582127,
      "fos_yielding": 3.327129172818823,
      "deflection": 0.018212338174582104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_3206",
      "improvement_over_parent": null
    },
    "node_3208": {
      "node_id": "node_3208",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n  Mass: 151.87 kg\n  Factor of Safety: 0.94\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": 151.87202862662255,
      "fos_buckling": 0.9362210854085629,
      "fos_yielding": 3.9821433088817297,
      "deflection": 0.015275092090867975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_3207",
      "improvement_over_parent": null
    },
    "node_3209": {
      "node_id": "node_3209",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 157.87 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.867228671636,
      "fos_buckling": 1.2333304033789043,
      "fos_yielding": 3.7350562172635167,
      "deflection": 0.014457989134242821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003562)"
      },
      "parent_node_id": "node_3208",
      "improvement_over_parent": null
    },
    "node_3210": {
      "node_id": "node_3210",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.75421370423314,
      "fos_buckling": 1.5307552096069585,
      "fos_yielding": 4.838289777959908,
      "deflection": 0.011223738113563269,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_3209",
      "improvement_over_parent": null
    },
    "node_3211": {
      "node_id": "node_3211",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3210",
      "improvement_over_parent": null
    },
    "node_3212": {
      "node_id": "node_3212",
      "content": "INITIAL DESIGN (Trace 461)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 139.72 kg\n  Factor of Safety: 0.78\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": 139.718156453089,
      "fos_buckling": 0.7767804343019052,
      "fos_yielding": 3.394224576574126,
      "deflection": 0.015339285017960827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3213": {
      "node_id": "node_3213",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 169.51 kg\n  Factor of Safety: 0.94\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": 169.51005865857525,
      "fos_buckling": 0.935397724688907,
      "fos_yielding": 4.1138333016727975,
      "deflection": 0.012706395857904907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_3212",
      "improvement_over_parent": null
    },
    "node_3214": {
      "node_id": "node_3214",
      "content": "MODIFICATION: Increase 17 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 170.78 kg\n  Factor of Safety: 1.06\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": 170.77631129504454,
      "fos_buckling": 1.0610276874204312,
      "fos_yielding": 4.114926323877556,
      "deflection": 0.012807172752034664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.258)"
      },
      "parent_node_id": "node_3213",
      "improvement_over_parent": null
    },
    "node_3215": {
      "node_id": "node_3215",
      "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 174.08 kg\n  Factor of Safety: 1.34\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": 174.07583093892725,
      "fos_buckling": 1.3396597970942978,
      "fos_yielding": 4.116650774555753,
      "deflection": 0.013142458180820807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.555)"
      },
      "parent_node_id": "node_3214",
      "improvement_over_parent": null
    },
    "node_3216": {
      "node_id": "node_3216",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.50717192469438,
      "fos_buckling": 1.5292591454761788,
      "fos_yielding": 4.832365579864044,
      "deflection": 0.011236536232679088,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3215",
      "improvement_over_parent": null
    },
    "node_3217": {
      "node_id": "node_3217",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3216",
      "improvement_over_parent": null
    },
    "node_3218": {
      "node_id": "node_3218",
      "content": "INITIAL DESIGN (Trace 462)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n  Mass: 139.46 kg\n  Factor of Safety: 0.91\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": 139.4568679272249,
      "fos_buckling": 0.9093090261743059,
      "fos_yielding": 3.4432505976039507,
      "deflection": 0.01625207348165033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3219": {
      "node_id": "node_3219",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 163.20 kg\n  Factor of Safety: 1.05\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": 163.1978122946498,
      "fos_buckling": 1.0484748100404357,
      "fos_yielding": 4.025157128472002,
      "deflection": 0.013935608477378979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3218",
      "improvement_over_parent": null
    },
    "node_3220": {
      "node_id": "node_3220",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 196.31 kg\n  Factor of Safety: 1.23\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": 196.30671435717602,
      "fos_buckling": 1.2349415054923538,
      "fos_yielding": 4.83446532085255,
      "deflection": 0.01164063221342347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_3219",
      "improvement_over_parent": null
    },
    "node_3221": {
      "node_id": "node_3221",
      "content": "MODIFICATION: Increase 20 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.46 kg\n  Factor of Safety: 1.48\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": 201.4631180104161,
      "fos_buckling": 1.483976943615014,
      "fos_yielding": 4.834029608594139,
      "deflection": 0.011320555702737371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.361)"
      },
      "parent_node_id": "node_3220",
      "improvement_over_parent": null
    },
    "node_3222": {
      "node_id": "node_3222",
      "content": "MODIFICATION: Increase 19 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.58087752217966,
      "fos_buckling": 1.5294631532220315,
      "fos_yielding": 4.834056820613797,
      "deflection": 0.011233207085239226,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.318)"
      },
      "parent_node_id": "node_3221",
      "improvement_over_parent": null
    },
    "node_3223": {
      "node_id": "node_3223",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3222",
      "improvement_over_parent": null
    },
    "node_3224": {
      "node_id": "node_3224",
      "content": "INITIAL DESIGN (Trace 463)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 142.73 kg\n  Factor of Safety: 0.03\n  Max Deflection: 1.37e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.73223033820437,
      "fos_buckling": 0.032138909621100394,
      "fos_yielding": 0.305716428870757,
      "deflection": 137360274361762.98,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3225": {
      "node_id": "node_3225",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 163.58 kg\n  Factor of Safety: 0.24\n  Max Deflection: 1.59e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.58044182718288,
      "fos_buckling": 0.24484259458523158,
      "fos_yielding": 1.9721688255087158,
      "deflection": 15899345979136.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)"
      },
      "parent_node_id": "node_3224",
      "improvement_over_parent": null
    },
    "node_3226": {
      "node_id": "node_3226",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 178.76 kg\n  Factor of Safety: 0.22\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": 178.7649958420843,
      "fos_buckling": 0.2247951628688949,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.012704280058416947,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_3225",
      "improvement_over_parent": null
    },
    "node_3227": {
      "node_id": "node_3227",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 190.19 kg\n  Factor of Safety: 1.00\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": 190.19219600812391,
      "fos_buckling": 0.9959368750423045,
      "fos_yielding": 5.162258209849386,
      "deflection": 0.012445393145445727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)"
      },
      "parent_node_id": "node_3226",
      "improvement_over_parent": null
    },
    "node_3228": {
      "node_id": "node_3228",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 197.97 kg\n  Factor of Safety: 1.41\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": 197.9738445203764,
      "fos_buckling": 1.4053538773967997,
      "fos_yielding": 4.809512810232109,
      "deflection": 0.01168029016740812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_3227",
      "improvement_over_parent": null
    },
    "node_3229": {
      "node_id": "node_3229",
      "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 202.67 kg\n  Factor of Safety: 1.41\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": 202.6668182774541,
      "fos_buckling": 1.4054328204943034,
      "fos_yielding": 4.80903881635273,
      "deflection": 0.01133199446362811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.541)"
      },
      "parent_node_id": "node_3228",
      "improvement_over_parent": null
    },
    "node_3230": {
      "node_id": "node_3230",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0063)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.48 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.4784744414493,
      "fos_buckling": 1.4092617068591007,
      "fos_yielding": 4.8060726516414745,
      "deflection": 0.01130474511239622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.214)"
      },
      "parent_node_id": "node_3229",
      "improvement_over_parent": null
    },
    "node_3231": {
      "node_id": "node_3231",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 464)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n  Mass: 149.10 kg\n  Factor of Safety: 0.40\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": 149.09536244650076,
      "fos_buckling": 0.4014823830269831,
      "fos_yielding": 3.598462355476855,
      "deflection": 0.017872549382712963,
      "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 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n  Mass: 161.16 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": 161.15744269322383,
      "fos_buckling": 0.4010800939327019,
      "fos_yielding": 3.5977506076702563,
      "deflection": 0.017579966469657874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005415)"
      },
      "parent_node_id": "node_3232",
      "improvement_over_parent": null
    },
    "node_3234": {
      "node_id": "node_3234",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n  Mass: 163.86 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.86334946512756,
      "fos_buckling": 0.40089986343326384,
      "fos_yielding": 3.59743136399483,
      "deflection": 0.017129317831058095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003573)"
      },
      "parent_node_id": "node_3233",
      "improvement_over_parent": null
    },
    "node_3235": {
      "node_id": "node_3235",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 188.66 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.659965011474,
      "fos_buckling": 0.4483564603069445,
      "fos_yielding": 4.135876185642358,
      "deflection": 0.014930659924478722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_3234",
      "improvement_over_parent": null
    },
    "node_3236": {
      "node_id": "node_3236",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 192.16 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.1588316595021,
      "fos_buckling": 0.4477096423478901,
      "fos_yielding": 4.13469164475788,
      "deflection": 0.014357281058742163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.427)"
      },
      "parent_node_id": "node_3235",
      "improvement_over_parent": null
    },
    "node_3237": {
      "node_id": "node_3237",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6978239994714,
      "fos_buckling": 1.530369977269087,
      "fos_yielding": 4.836698530119448,
      "deflection": 0.011226868206178466,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_3236",
      "improvement_over_parent": null
    },
    "node_3238": {
      "node_id": "node_3238",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 465)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 194.95 kg\n  Factor of Safety: 0.34\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": 194.94949277417493,
      "fos_buckling": 0.3401039380082318,
      "fos_yielding": 4.902598249750784,
      "deflection": 0.012848822359251234,
      "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: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.46515059117527,
      "fos_buckling": 1.5301189199404124,
      "fos_yielding": 4.837462395694082,
      "deflection": 0.011245104267035544,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_3239",
      "improvement_over_parent": null
    },
    "node_3241": {
      "node_id": "node_3241",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.56218973924905,
      "fos_buckling": 1.5302496687958476,
      "fos_yielding": 4.837148987983293,
      "deflection": 0.01123650370962143,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.217)"
      },
      "parent_node_id": "node_3240",
      "improvement_over_parent": null
    },
    "node_3242": {
      "node_id": "node_3242",
      "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70109751192308,
      "fos_buckling": 1.5303947573517478,
      "fos_yielding": 4.836787277531071,
      "deflection": 0.011226770309149007,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.264)"
      },
      "parent_node_id": "node_3241",
      "improvement_over_parent": null
    },
    "node_3243": {
      "node_id": "node_3243",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3242",
      "improvement_over_parent": null
    },
    "node_3244": {
      "node_id": "node_3244",
      "content": "INITIAL DESIGN (Trace 466)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 120.56 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.89e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.55866429369709,
      "fos_buckling": 0.8611202651441721,
      "fos_yielding": 2.9752200706657,
      "deflection": 0.01888215499085563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3245": {
      "node_id": "node_3245",
      "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 123.43 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.43196969322193,
      "fos_buckling": 0.8607147807645109,
      "fos_yielding": 2.975279391526804,
      "deflection": 0.01864947254528357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.529)"
      },
      "parent_node_id": "node_3244",
      "improvement_over_parent": null
    },
    "node_3246": {
      "node_id": "node_3246",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 124.79 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.79337963910429,
      "fos_buckling": 0.8659504899298229,
      "fos_yielding": 2.9720464823053923,
      "deflection": 0.01821082708121501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.239)"
      },
      "parent_node_id": "node_3245",
      "improvement_over_parent": null
    },
    "node_3247": {
      "node_id": "node_3247",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 137.97 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.96653057838256,
      "fos_buckling": 0.948173240752987,
      "fos_yielding": 3.284485416290176,
      "deflection": 0.016503947053297566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_3246",
      "improvement_over_parent": null
    },
    "node_3248": {
      "node_id": "node_3248",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 157.92 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.92278273308034,
      "fos_buckling": 1.069452539615435,
      "fos_yielding": 3.757335967847305,
      "deflection": 0.014460598931721858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_3247",
      "improvement_over_parent": null
    },
    "node_3249": {
      "node_id": "node_3249",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 201.71 kg\n  Factor of Safety: 1.32\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.7114299342287,
      "fos_buckling": 1.3218198312785663,
      "fos_yielding": 4.792897974797948,
      "deflection": 0.011393866839918061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_3248",
      "improvement_over_parent": null
    },
    "node_3250": {
      "node_id": "node_3250",
      "content": "MODIFICATION: Increase 13 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70316590117602,
      "fos_buckling": 1.5304936387048076,
      "fos_yielding": 4.836704703233158,
      "deflection": 0.011226983264292358,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.344)"
      },
      "parent_node_id": "node_3249",
      "improvement_over_parent": null
    },
    "node_3251": {
      "node_id": "node_3251",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3250",
      "improvement_over_parent": null
    },
    "node_3252": {
      "node_id": "node_3252",
      "content": "INITIAL DESIGN (Trace 467)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 135.61 kg\n  Factor of Safety: 0.04\n  Max Deflection: 3.22e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.61437811183222,
      "fos_buckling": 0.03720110377558618,
      "fos_yielding": 0.5634768072882045,
      "deflection": 32226185145423.434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3253": {
      "node_id": "node_3253",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n  Mass: 144.48 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.47925182852063,
      "fos_buckling": 0.21830786734820778,
      "fos_yielding": 3.3066604916167353,
      "deflection": 0.01936208626014476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004441)"
      },
      "parent_node_id": "node_3252",
      "improvement_over_parent": null
    },
    "node_3254": {
      "node_id": "node_3254",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n  Mass: 146.99 kg\n  Factor of Safety: 0.22\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.98602518672695,
      "fos_buckling": 0.21821583676467177,
      "fos_yielding": 3.30526652492971,
      "deflection": 0.02016513007637822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003290)"
      },
      "parent_node_id": "node_3253",
      "improvement_over_parent": null
    },
    "node_3255": {
      "node_id": "node_3255",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n  Mass: 154.64 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.64461465198897,
      "fos_buckling": 0.37612337303852394,
      "fos_yielding": 3.3338186586508773,
      "deflection": 0.017734973789173086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004128)"
      },
      "parent_node_id": "node_3254",
      "improvement_over_parent": null
    },
    "node_3256": {
      "node_id": "node_3256",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n  Mass: 164.74 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.73555852082495,
      "fos_buckling": 1.2788046630258476,
      "fos_yielding": 3.8966233369702987,
      "deflection": 0.013869427092931524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004738)"
      },
      "parent_node_id": "node_3255",
      "improvement_over_parent": null
    },
    "node_3257": {
      "node_id": "node_3257",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.64747836615803,
      "fos_buckling": 1.530066431494889,
      "fos_yielding": 4.835518067266897,
      "deflection": 0.011229657821579806,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_3256",
      "improvement_over_parent": null
    },
    "node_3258": {
      "node_id": "node_3258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3257",
      "improvement_over_parent": null
    },
    "node_3259": {
      "node_id": "node_3259",
      "content": "INITIAL DESIGN (Trace 468)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 125.44 kg\n  Factor of Safety: 0.15\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": 125.44412895796664,
      "fos_buckling": 0.14685502202188208,
      "fos_yielding": 3.1868746583946237,
      "deflection": 0.019963815732566156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3260": {
      "node_id": "node_3260",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n  Mass: 140.54 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.53520789557726,
      "fos_buckling": 0.16204543755926246,
      "fos_yielding": 3.5755367708664143,
      "deflection": 0.0178350757835805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_3259",
      "improvement_over_parent": null
    },
    "node_3261": {
      "node_id": "node_3261",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 141.44 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.4410882646032,
      "fos_buckling": 0.2191811612188071,
      "fos_yielding": 3.5753529083870514,
      "deflection": 0.017694995633263735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001977)"
      },
      "parent_node_id": "node_3260",
      "improvement_over_parent": null
    },
    "node_3262": {
      "node_id": "node_3262",
      "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 143.65 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.65266210801457,
      "fos_buckling": 0.2190596908134719,
      "fos_yielding": 3.5742311350781346,
      "deflection": 0.017447634048395513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.353)"
      },
      "parent_node_id": "node_3261",
      "improvement_over_parent": null
    },
    "node_3263": {
      "node_id": "node_3263",
      "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n  Mass: 147.83 kg\n  Factor of Safety: 0.22\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": 147.83047774276307,
      "fos_buckling": 0.21883059185323445,
      "fos_yielding": 3.8736595569423695,
      "deflection": 0.015928433997060766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.558)"
      },
      "parent_node_id": "node_3262",
      "improvement_over_parent": null
    },
    "node_3264": {
      "node_id": "node_3264",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n  Mass: 157.02 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.02063231194998,
      "fos_buckling": 0.9131941430791616,
      "fos_yielding": 3.886760377835312,
      "deflection": 0.015579167920210012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004520)"
      },
      "parent_node_id": "node_3263",
      "improvement_over_parent": null
    },
    "node_3265": {
      "node_id": "node_3265",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 164.63 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.63303991825518,
      "fos_buckling": 1.245642710954241,
      "fos_yielding": 3.8879875599677733,
      "deflection": 0.014143953914518422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004444)"
      },
      "parent_node_id": "node_3264",
      "improvement_over_parent": null
    },
    "node_3266": {
      "node_id": "node_3266",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0067)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.63 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.629563909134,
      "fos_buckling": 1.4929479830690926,
      "fos_yielding": 4.828488592874516,
      "deflection": 0.011438276432950319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3265",
      "improvement_over_parent": null
    },
    "node_3267": {
      "node_id": "node_3267",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3266",
      "improvement_over_parent": null
    },
    "node_3268": {
      "node_id": "node_3268",
      "content": "INITIAL DESIGN (Trace 469)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 141.63 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.62614518444803,
      "fos_buckling": 0.8207032267607997,
      "fos_yielding": 3.8020759959670136,
      "deflection": 0.01608006137475404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3269": {
      "node_id": "node_3269",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 148.34 kg\n  Factor of Safety: 0.89\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": 148.33808758810304,
      "fos_buckling": 0.8897682271508717,
      "fos_yielding": 3.7913253010272214,
      "deflection": 0.016061859489587656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003794)"
      },
      "parent_node_id": "node_3268",
      "improvement_over_parent": null
    },
    "node_3270": {
      "node_id": "node_3270",
      "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 151.12 kg\n  Factor of Safety: 0.89\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": 151.11812123204575,
      "fos_buckling": 0.8895579502311686,
      "fos_yielding": 3.7834257082152454,
      "deflection": 0.01583518706413852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.642)"
      },
      "parent_node_id": "node_3269",
      "improvement_over_parent": null
    },
    "node_3271": {
      "node_id": "node_3271",
      "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n  Mass: 152.00 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.99694992119854,
      "fos_buckling": 0.8895357983270499,
      "fos_yielding": 3.7694564843974447,
      "deflection": 0.01578722176569866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.289)"
      },
      "parent_node_id": "node_3270",
      "improvement_over_parent": null
    },
    "node_3272": {
      "node_id": "node_3272",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 195.06 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.06420430469754,
      "fos_buckling": 1.09375403620473,
      "fos_yielding": 4.831709893549491,
      "deflection": 0.012379468506938447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3271",
      "improvement_over_parent": null
    },
    "node_3273": {
      "node_id": "node_3273",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.52851886675236,
      "fos_buckling": 1.5308972512512067,
      "fos_yielding": 4.833515804556888,
      "deflection": 0.011219897913743495,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_3272",
      "improvement_over_parent": null
    },
    "node_3274": {
      "node_id": "node_3274",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0026)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.71798333498907,
      "fos_buckling": 1.5310301167885259,
      "fos_yielding": 4.833096234692896,
      "deflection": 0.011210640046079473,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.300)"
      },
      "parent_node_id": "node_3273",
      "improvement_over_parent": null
    },
    "node_3275": {
      "node_id": "node_3275",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3274",
      "improvement_over_parent": null
    },
    "node_3276": {
      "node_id": "node_3276",
      "content": "INITIAL DESIGN (Trace 470)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 128.59 kg\n  Factor of Safety: 0.82\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": 128.5868437615618,
      "fos_buckling": 0.816871689426912,
      "fos_yielding": 2.7861998051095886,
      "deflection": 0.017882154686881976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3277": {
      "node_id": "node_3277",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 129.27 kg\n  Factor of Safety: 0.82\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": 129.2696117127402,
      "fos_buckling": 0.816871689426912,
      "fos_yielding": 3.391361049449721,
      "deflection": 0.017882154686881976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.230)"
      },
      "parent_node_id": "node_3276",
      "improvement_over_parent": null
    },
    "node_3278": {
      "node_id": "node_3278",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n  Mass: 134.38 kg\n  Factor of Safety: 1.07\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": 134.3771098081409,
      "fos_buckling": 1.0725427711021676,
      "fos_yielding": 3.1825099407112414,
      "deflection": 0.016927282745609742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003003)"
      },
      "parent_node_id": "node_3277",
      "improvement_over_parent": null
    },
    "node_3279": {
      "node_id": "node_3279",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 159.45 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.44940174916886,
      "fos_buckling": 1.2438310954234155,
      "fos_yielding": 3.7737481282987355,
      "deflection": 0.014318117367669653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_3278",
      "improvement_over_parent": null
    },
    "node_3280": {
      "node_id": "node_3280",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n  Mass: 184.40 kg\n  Factor of Safety: 1.41\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.40394467994327,
      "fos_buckling": 1.4054377376270046,
      "fos_yielding": 4.361413168834275,
      "deflection": 0.01242572024946369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3279",
      "improvement_over_parent": null
    },
    "node_3281": {
      "node_id": "node_3281",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.54197714339153,
      "fos_buckling": 1.5294293012268596,
      "fos_yielding": 4.835073518075984,
      "deflection": 0.01123524563893177,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3280",
      "improvement_over_parent": null
    },
    "node_3282": {
      "node_id": "node_3282",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3281",
      "improvement_over_parent": null
    },
    "node_3283": {
      "node_id": "node_3283",
      "content": "INITIAL DESIGN (Trace 471)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 185.43 kg\n  Factor of Safety: 1.09\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": 185.43050349307157,
      "fos_buckling": 1.0940627324923662,
      "fos_yielding": 4.835764654602185,
      "deflection": 0.012657371261612578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3284": {
      "node_id": "node_3284",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 199.32 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.16e-02 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 199.31541036869316,
      "fos_buckling": 1.5286995599688091,
      "fos_yielding": 4.8392266503407795,
      "deflection": 0.011588537656485555,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_3283",
      "improvement_over_parent": null
    },
    "node_3285": {
      "node_id": "node_3285",
      "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 201.58 kg\n  Factor of Safety: 1.50\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.5785993536106,
      "fos_buckling": 1.5047495239705095,
      "fos_yielding": 4.8768209459374114,
      "deflection": 0.011408730557526291,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.395)"
      },
      "parent_node_id": "node_3284",
      "improvement_over_parent": null
    },
    "node_3286": {
      "node_id": "node_3286",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 203.99 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.99332079748066,
      "fos_buckling": 1.528549306586672,
      "fos_yielding": 4.840890578767471,
      "deflection": 0.011344215028839304,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.493)"
      },
      "parent_node_id": "node_3285",
      "improvement_over_parent": null
    },
    "node_3287": {
      "node_id": "node_3287",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70945262395432,
      "fos_buckling": 1.5303977848861159,
      "fos_yielding": 4.836747234539261,
      "deflection": 0.011226532171056333,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)"
      },
      "parent_node_id": "node_3286",
      "improvement_over_parent": null
    },
    "node_3288": {
      "node_id": "node_3288",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3287",
      "improvement_over_parent": null
    },
    "node_3289": {
      "node_id": "node_3289",
      "content": "INITIAL DESIGN (Trace 472)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 112.96 kg\n  Factor of Safety: 0.13\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": 112.956076471253,
      "fos_buckling": 0.1331252326684241,
      "fos_yielding": 1.2190843063118164,
      "deflection": 24758115632077.68,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3290": {
      "node_id": "node_3290",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n  Mass: 122.34 kg\n  Factor of Safety: 0.38\n  Max Deflection: 4.32e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.34090989596733,
      "fos_buckling": 0.3815760236958859,
      "fos_yielding": 0.9860844127543579,
      "deflection": 43187627483422.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004138)"
      },
      "parent_node_id": "node_3289",
      "improvement_over_parent": null
    },
    "node_3291": {
      "node_id": "node_3291",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n  Mass: 159.22 kg\n  Factor of Safety: 0.53\n  Max Deflection: 5.81e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.2161594219395,
      "fos_buckling": 0.5265060251181874,
      "fos_yielding": 3.5626849614287552,
      "deflection": 58139708444296.766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_3290",
      "improvement_over_parent": null
    },
    "node_3292": {
      "node_id": "node_3292",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 181.13 kg\n  Factor of Safety: 0.53\n  Max Deflection: 7.95e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.13142513856076,
      "fos_buckling": 0.5260708384337741,
      "fos_yielding": 2.629558434011621,
      "deflection": 7945769455652.346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_3291",
      "improvement_over_parent": null
    },
    "node_3293": {
      "node_id": "node_3293",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 188.91 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.91307365081323,
      "fos_buckling": 0.4479423281971165,
      "fos_yielding": 4.136214451338935,
      "deflection": 0.01457315452633574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)"
      },
      "parent_node_id": "node_3292",
      "improvement_over_parent": null
    },
    "node_3294": {
      "node_id": "node_3294",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 201.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.14e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 201.45206599078253,
      "fos_buckling": 1.5342838233236398,
      "fos_yielding": 4.838512694786853,
      "deflection": 0.011443226048046205,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_3293",
      "improvement_over_parent": null
    },
    "node_3295": {
      "node_id": "node_3295",
      "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.750737075986,
      "fos_buckling": 1.530818987692493,
      "fos_yielding": 4.838197229923372,
      "deflection": 0.011224028166533654,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.332)"
      },
      "parent_node_id": "node_3294",
      "improvement_over_parent": null
    },
    "node_3296": {
      "node_id": "node_3296",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3295",
      "improvement_over_parent": null
    },
    "node_3297": {
      "node_id": "node_3297",
      "content": "INITIAL DESIGN (Trace 473)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 155.88 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.87690913430353,
      "fos_buckling": 0.577304704968271,
      "fos_yielding": 4.266277318846946,
      "deflection": 0.016039051660856948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3298": {
      "node_id": "node_3298",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n  Mass: 160.26 kg\n  Factor of Safety: 0.58\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": 160.26284166411062,
      "fos_buckling": 0.5810544500463591,
      "fos_yielding": 3.986604803802772,
      "deflection": 0.015553480407858662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003426)"
      },
      "parent_node_id": "node_3297",
      "improvement_over_parent": null
    },
    "node_3299": {
      "node_id": "node_3299",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 193.93 kg\n  Factor of Safety: 0.69\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": 193.93223043930325,
      "fos_buckling": 0.6928442168729974,
      "fos_yielding": 4.817733680245048,
      "deflection": 0.012887384530956272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_3298",
      "improvement_over_parent": null
    },
    "node_3300": {
      "node_id": "node_3300",
      "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 195.80 kg\n  Factor of Safety: 0.69\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": 195.80094323683707,
      "fos_buckling": 0.6944360027160273,
      "fos_yielding": 4.815454758081682,
      "deflection": 0.012875626129010206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.221)"
      },
      "parent_node_id": "node_3299",
      "improvement_over_parent": null
    },
    "node_3301": {
      "node_id": "node_3301",
      "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 198.39 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.38937448805936,
      "fos_buckling": 0.6938201446926948,
      "fos_yielding": 4.862761107166949,
      "deflection": 0.012778792934200544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.477)"
      },
      "parent_node_id": "node_3300",
      "improvement_over_parent": null
    },
    "node_3302": {
      "node_id": "node_3302",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 201.50 kg\n  Factor of Safety: 1.26\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": 201.50475238777977,
      "fos_buckling": 1.2586082141588832,
      "fos_yielding": 4.846887753798127,
      "deflection": 0.010977728390732359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3301",
      "improvement_over_parent": null
    },
    "node_3303": {
      "node_id": "node_3303",
      "content": "MODIFICATION: Increase 17 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0096)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 207.67 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.66777725515527,
      "fos_buckling": 1.2480925558894562,
      "fos_yielding": 4.8468311985279415,
      "deflection": 0.010868210759608716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.515)"
      },
      "parent_node_id": "node_3302",
      "improvement_over_parent": null
    },
    "node_3304": {
      "node_id": "node_3304",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3303",
      "improvement_over_parent": null
    },
    "node_3305": {
      "node_id": "node_3305",
      "content": "INITIAL DESIGN (Trace 474)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 154.46 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.45844567736984,
      "fos_buckling": 0.36304333068275957,
      "fos_yielding": 4.322784841781983,
      "deflection": 0.01570691909702547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3306": {
      "node_id": "node_3306",
      "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 156.90 kg\n  Factor of Safety: 0.37\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": 156.90159091226215,
      "fos_buckling": 0.36804548232703943,
      "fos_yielding": 4.322784841781983,
      "deflection": 0.015596013545739074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.287)"
      },
      "parent_node_id": "node_3305",
      "improvement_over_parent": null
    },
    "node_3307": {
      "node_id": "node_3307",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n  Mass: 164.87 kg\n  Factor of Safety: 1.00\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": 164.86957836074592,
      "fos_buckling": 1.0018211851995322,
      "fos_yielding": 4.322784841781983,
      "deflection": 0.0140995888107662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004308)"
      },
      "parent_node_id": "node_3306",
      "improvement_over_parent": null
    },
    "node_3308": {
      "node_id": "node_3308",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n  Mass: 169.61 kg\n  Factor of Safety: 1.32\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": 169.60932705890187,
      "fos_buckling": 1.3179280264161295,
      "fos_yielding": 4.0789335943852665,
      "deflection": 0.013417666022613323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002775)"
      },
      "parent_node_id": "node_3307",
      "improvement_over_parent": null
    },
    "node_3309": {
      "node_id": "node_3309",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n  Mass: 202.68 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 202.68410016572858,
      "fos_buckling": 1.520774205356977,
      "fos_yielding": 4.86929032606477,
      "deflection": 0.011283435333467349,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_3308",
      "improvement_over_parent": null
    },
    "node_3310": {
      "node_id": "node_3310",
      "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0079)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n  Mass: 206.57 kg\n  Factor of Safety: 1.51\n  Max Deflection: 1.11e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 206.56745970018522,
      "fos_buckling": 1.5096973818340196,
      "fos_yielding": 4.873818532486155,
      "deflection": 0.011134591036332513,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.404)"
      },
      "parent_node_id": "node_3309",
      "improvement_over_parent": null
    },
    "node_3311": {
      "node_id": "node_3311",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3310",
      "improvement_over_parent": null
    },
    "node_3312": {
      "node_id": "node_3312",
      "content": "INITIAL DESIGN (Trace 475)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 176.88 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.91e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.88433751643313,
      "fos_buckling": 0.27716382684873125,
      "fos_yielding": 1.306890307337513,
      "deflection": 0.03913614182141692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3313": {
      "node_id": "node_3313",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n  Mass: 186.40 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.39999533343348,
      "fos_buckling": 0.27650170335782076,
      "fos_yielding": 1.3909546241060844,
      "deflection": 0.039127688381171484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)"
      },
      "parent_node_id": "node_3312",
      "improvement_over_parent": null
    },
    "node_3314": {
      "node_id": "node_3314",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 189.52 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.5153732331539,
      "fos_buckling": 0.2763576064939465,
      "fos_yielding": 1.3902184084453193,
      "deflection": 0.033768687451700405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3313",
      "improvement_over_parent": null
    },
    "node_3315": {
      "node_id": "node_3315",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6999272480553,
      "fos_buckling": 1.530401933085908,
      "fos_yielding": 4.836789154684582,
      "deflection": 0.011226918485044543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_3314",
      "improvement_over_parent": null
    },
    "node_3316": {
      "node_id": "node_3316",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3315",
      "improvement_over_parent": null
    },
    "node_3317": {
      "node_id": "node_3317",
      "content": "INITIAL DESIGN (Trace 476)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n  Mass: 126.22 kg\n  Factor of Safety: 0.17\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": 126.2219874567633,
      "fos_buckling": 0.17047415269969257,
      "fos_yielding": 3.1510713479006367,
      "deflection": 0.01769394588854375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3318": {
      "node_id": "node_3318",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n  Mass: 133.69 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.68539945012273,
      "fos_buckling": 1.0676951736085198,
      "fos_yielding": 3.164805918735275,
      "deflection": 0.01701328958582401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003620)"
      },
      "parent_node_id": "node_3317",
      "improvement_over_parent": null
    },
    "node_3319": {
      "node_id": "node_3319",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n  Mass: 159.75 kg\n  Factor of Safety: 1.25\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": 159.74788368710787,
      "fos_buckling": 1.245822137485893,
      "fos_yielding": 3.779154238932356,
      "deflection": 0.014292113480182422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_3318",
      "improvement_over_parent": null
    },
    "node_3320": {
      "node_id": "node_3320",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7163929873536,
      "fos_buckling": 1.5304847965654762,
      "fos_yielding": 4.8371414874375755,
      "deflection": 0.011226053040704013,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3319",
      "improvement_over_parent": null
    },
    "node_3321": {
      "node_id": "node_3321",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3320",
      "improvement_over_parent": null
    },
    "node_3322": {
      "node_id": "node_3322",
      "content": "INITIAL DESIGN (Trace 477)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 169.25 kg\n  Factor of Safety: 1.23\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": 169.2506196179175,
      "fos_buckling": 1.2279951174990964,
      "fos_yielding": 4.021662853270797,
      "deflection": 0.013394054144476976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3323": {
      "node_id": "node_3323",
      "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 171.02 kg\n  Factor of Safety: 1.15\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": 171.02348468666816,
      "fos_buckling": 1.1527112764018326,
      "fos_yielding": 4.00219230372655,
      "deflection": 0.013253308025723505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.401)"
      },
      "parent_node_id": "node_3322",
      "improvement_over_parent": null
    },
    "node_3324": {
      "node_id": "node_3324",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.57 kg\n  Factor of Safety: 1.32\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": 203.56833116117758,
      "fos_buckling": 1.3217532183367462,
      "fos_yielding": 4.759421836216037,
      "deflection": 0.011188487617236332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_3323",
      "improvement_over_parent": null
    },
    "node_3325": {
      "node_id": "node_3325",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6949789814642,
      "fos_buckling": 1.5303394722235388,
      "fos_yielding": 4.836542529510892,
      "deflection": 0.011227218854915665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3324",
      "improvement_over_parent": null
    },
    "node_3326": {
      "node_id": "node_3326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3325",
      "improvement_over_parent": null
    },
    "node_3327": {
      "node_id": "node_3327",
      "content": "INITIAL DESIGN (Trace 478)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, 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_3328": {
      "node_id": "node_3328",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 176.49 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.94e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.48568806566112,
      "fos_buckling": 0.33764490108049555,
      "fos_yielding": 2.156088286338252,
      "deflection": 0.029351913829371676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)"
      },
      "parent_node_id": "node_3327",
      "improvement_over_parent": null
    },
    "node_3329": {
      "node_id": "node_3329",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 176.98 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.87e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.979487570661,
      "fos_buckling": 0.33761699933577877,
      "fos_yielding": 2.1558195642575373,
      "deflection": 0.028689292113832008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.508)"
      },
      "parent_node_id": "node_3328",
      "improvement_over_parent": null
    },
    "node_3330": {
      "node_id": "node_3330",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 190.86 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.8643944462826,
      "fos_buckling": 0.33722520917656723,
      "fos_yielding": 2.073688944008274,
      "deflection": 0.027721281375120435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)"
      },
      "parent_node_id": "node_3329",
      "improvement_over_parent": null
    },
    "node_3331": {
      "node_id": "node_3331",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 203.35 kg\n  Factor of Safety: 1.17\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": 203.35220152329936,
      "fos_buckling": 1.169435788149101,
      "fos_yielding": 3.35490373780455,
      "deflection": 0.011362629006786959,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_3330",
      "improvement_over_parent": null
    },
    "node_3332": {
      "node_id": "node_3332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3331",
      "improvement_over_parent": null
    },
    "node_3333": {
      "node_id": "node_3333",
      "content": "INITIAL DESIGN (Trace 479)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 105.43 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.42852410417046,
      "fos_buckling": 0.22871115444358756,
      "fos_yielding": 2.8801178071169606,
      "deflection": 0.02375475885164681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3334": {
      "node_id": "node_3334",
      "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n  Mass: 107.69 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.6880534657465,
      "fos_buckling": 0.22875787670811898,
      "fos_yielding": 2.9179482077055723,
      "deflection": 0.02332008897679109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.458)"
      },
      "parent_node_id": "node_3333",
      "improvement_over_parent": null
    },
    "node_3335": {
      "node_id": "node_3335",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 132.93 kg\n  Factor of Safety: 0.27\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.92654928002582,
      "fos_buckling": 0.2749754031715786,
      "fos_yielding": 3.59940549865109,
      "deflection": 0.018959658820987074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3334",
      "improvement_over_parent": null
    },
    "node_3336": {
      "node_id": "node_3336",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n\nPerformance:\n  Mass: 139.90 kg\n  Factor of Safety: 0.84\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": 139.90074034035374,
      "fos_buckling": 0.8442683342518507,
      "fos_yielding": 3.5504044650560043,
      "deflection": 0.016761989598984662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003734)"
      },
      "parent_node_id": "node_3335",
      "improvement_over_parent": null
    },
    "node_3337": {
      "node_id": "node_3337",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n  Mass: 150.08 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.07613591710796,
      "fos_buckling": 1.1808379498661175,
      "fos_yielding": 3.55145055342937,
      "deflection": 0.015191116679460326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004510)"
      },
      "parent_node_id": "node_3336",
      "improvement_over_parent": null
    },
    "node_3338": {
      "node_id": "node_3338",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n  Mass: 176.30 kg\n  Factor of Safety: 1.35\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": 176.30498879356762,
      "fos_buckling": 1.35394742475772,
      "fos_yielding": 4.1692028601683555,
      "deflection": 0.012980840630811518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_3337",
      "improvement_over_parent": null
    },
    "node_3339": {
      "node_id": "node_3339",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.55401186319128,
      "fos_buckling": 1.529489620427137,
      "fos_yielding": 4.833563151991101,
      "deflection": 0.011234317991098244,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_3338",
      "improvement_over_parent": null
    },
    "node_3340": {
      "node_id": "node_3340",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3339",
      "improvement_over_parent": null
    },
    "node_3341": {
      "node_id": "node_3341",
      "content": "INITIAL DESIGN (Trace 480)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 186.62 kg\n  Factor of Safety: 0.90\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": 186.62276785488376,
      "fos_buckling": 0.904786039498271,
      "fos_yielding": 5.162219867543787,
      "deflection": 0.012724399547563183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3342": {
      "node_id": "node_3342",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 187.88 kg\n  Factor of Safety: 0.90\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": 187.882755992109,
      "fos_buckling": 0.9007403190904497,
      "fos_yielding": 5.162219867543787,
      "deflection": 0.012721756141807178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.267)"
      },
      "parent_node_id": "node_3341",
      "improvement_over_parent": null
    },
    "node_3343": {
      "node_id": "node_3343",
      "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.39 kg\n  Factor of Safety: 0.90\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": 190.3892872090072,
      "fos_buckling": 0.897805401111205,
      "fos_yielding": 5.162219867543787,
      "deflection": 0.012720026353978255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.242)"
      },
      "parent_node_id": "node_3342",
      "improvement_over_parent": null
    },
    "node_3344": {
      "node_id": "node_3344",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 195.70 kg\n  Factor of Safety: 0.90\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": 195.6973326860017,
      "fos_buckling": 0.9036779515119695,
      "fos_yielding": 4.8840620279927895,
      "deflection": 0.012438627890532919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)"
      },
      "parent_node_id": "node_3343",
      "improvement_over_parent": null
    },
    "node_3345": {
      "node_id": "node_3345",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 198.50 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.49652799116075,
      "fos_buckling": 0.9045022288776894,
      "fos_yielding": 6.3862893948729695,
      "deflection": 0.012397357831918736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.560)"
      },
      "parent_node_id": "node_3344",
      "improvement_over_parent": null
    },
    "node_3346": {
      "node_id": "node_3346",
      "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 202.48 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.48086977800855,
      "fos_buckling": 0.9079527513193724,
      "fos_yielding": 6.103992156109464,
      "deflection": 0.012379772643907473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.484)"
      },
      "parent_node_id": "node_3345",
      "improvement_over_parent": null
    },
    "node_3347": {
      "node_id": "node_3347",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 202.72 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.72421385196847,
      "fos_buckling": 0.8957425596656463,
      "fos_yielding": 6.612188531461768,
      "deflection": 0.012336658503093352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.389)"
      },
      "parent_node_id": "node_3346",
      "improvement_over_parent": null
    },
    "node_3348": {
      "node_id": "node_3348",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 205.84 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.83959175168889,
      "fos_buckling": 1.3337395456650905,
      "fos_yielding": 5.690548174821419,
      "deflection": 0.011269483584394061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3347",
      "improvement_over_parent": null
    },
    "node_3349": {
      "node_id": "node_3349",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3348",
      "improvement_over_parent": null
    },
    "node_3350": {
      "node_id": "node_3350",
      "content": "INITIAL DESIGN (Trace 481)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n  Mass: 131.60 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.60240829679023,
      "fos_buckling": 0.662780629373089,
      "fos_yielding": 3.5959161848203656,
      "deflection": 0.01815522614350349,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3351": {
      "node_id": "node_3351",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n  Mass: 135.30 kg\n  Factor of Safety: 0.67\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": 135.29915356293964,
      "fos_buckling": 0.6662868511824406,
      "fos_yielding": 3.3855827411571844,
      "deflection": 0.017723595477265337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002853)"
      },
      "parent_node_id": "node_3350",
      "improvement_over_parent": null
    },
    "node_3352": {
      "node_id": "node_3352",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 172.82 kg\n  Factor of Safety: 0.82\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": 172.8226947903545,
      "fos_buckling": 0.8241303519565295,
      "fos_yielding": 4.317843170167733,
      "deflection": 0.013928359241986652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_3351",
      "improvement_over_parent": null
    },
    "node_3353": {
      "node_id": "node_3353",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n  Mass: 174.36 kg\n  Factor of Safety: 0.82\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": 174.36104007967285,
      "fos_buckling": 0.8245925922141003,
      "fos_yielding": 5.564326689584991,
      "deflection": 0.013891114408323434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.332)"
      },
      "parent_node_id": "node_3352",
      "improvement_over_parent": null
    },
    "node_3354": {
      "node_id": "node_3354",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n  Mass: 177.13 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.13251201340276,
      "fos_buckling": 1.2933615799561233,
      "fos_yielding": 5.17848259829734,
      "deflection": 0.012750803978471378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003667)"
      },
      "parent_node_id": "node_3353",
      "improvement_over_parent": null
    },
    "node_3355": {
      "node_id": "node_3355",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0076)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 199.09 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.08687292884306,
      "fos_buckling": 1.4237301921950276,
      "fos_yielding": 5.8121479870816355,
      "deflection": 0.011381724570657482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_3354",
      "improvement_over_parent": null
    },
    "node_3356": {
      "node_id": "node_3356",
      "content": "MODIFICATION: Increase 19 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0076)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0068)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 201.85 kg\n  Factor of Safety: 1.42\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.8491016111358,
      "fos_buckling": 1.4235855170210527,
      "fos_yielding": 5.812148115219438,
      "deflection": 0.011322623794114653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.610)"
      },
      "parent_node_id": "node_3355",
      "improvement_over_parent": null
    },
    "node_3357": {
      "node_id": "node_3357",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3356",
      "improvement_over_parent": null
    },
    "node_3358": {
      "node_id": "node_3358",
      "content": "INITIAL DESIGN (Trace 482)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 125.80 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.80382555136808,
      "fos_buckling": 0.7849369402949758,
      "fos_yielding": 3.2553064625210775,
      "deflection": 0.01989709073289992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3359": {
      "node_id": "node_3359",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n  Mass: 127.16 kg\n  Factor of Safety: 0.78\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": 127.15549772346648,
      "fos_buckling": 0.7849068092529358,
      "fos_yielding": 3.2738684471234425,
      "deflection": 0.01975212454466837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.202)"
      },
      "parent_node_id": "node_3358",
      "improvement_over_parent": null
    },
    "node_3360": {
      "node_id": "node_3360",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 150.41 kg\n  Factor of Safety: 0.91\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": 150.4088602203557,
      "fos_buckling": 0.9068972651090031,
      "fos_yielding": 3.8687876785521302,
      "deflection": 0.016745537930557077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_3359",
      "improvement_over_parent": null
    },
    "node_3361": {
      "node_id": "node_3361",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 152.40 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.40456048971197,
      "fos_buckling": 0.9066408515600816,
      "fos_yielding": 3.8674560663336943,
      "deflection": 0.016346227055643106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.212)"
      },
      "parent_node_id": "node_3360",
      "improvement_over_parent": null
    },
    "node_3362": {
      "node_id": "node_3362",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 155.59 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.59373331244578,
      "fos_buckling": 0.9063951349969455,
      "fos_yielding": 3.8576664220791788,
      "deflection": 0.015452689873868889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.543)"
      },
      "parent_node_id": "node_3361",
      "improvement_over_parent": null
    },
    "node_3363": {
      "node_id": "node_3363",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n  Mass: 163.14 kg\n  Factor of Safety: 1.27\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.1360241684615,
      "fos_buckling": 1.2682597328481917,
      "fos_yielding": 3.8588848588864053,
      "deflection": 0.01400146887248053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004400)"
      },
      "parent_node_id": "node_3362",
      "improvement_over_parent": null
    },
    "node_3364": {
      "node_id": "node_3364",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74156825748634,
      "fos_buckling": 1.5306265819012708,
      "fos_yielding": 4.837644351994438,
      "deflection": 0.011224126788302606,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_3363",
      "improvement_over_parent": null
    },
    "node_3365": {
      "node_id": "node_3365",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3364",
      "improvement_over_parent": null
    },
    "node_3366": {
      "node_id": "node_3366",
      "content": "INITIAL DESIGN (Trace 483)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 126.76 kg\n  Factor of Safety: 0.60\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": 126.75801852099518,
      "fos_buckling": 0.5975571659915943,
      "fos_yielding": 3.4762103938455513,
      "deflection": 0.01995435385297082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3367": {
      "node_id": "node_3367",
      "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 128.15 kg\n  Factor of Safety: 0.60\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": 128.14772972294074,
      "fos_buckling": 0.5975897310273078,
      "fos_yielding": 3.4762103938455513,
      "deflection": 0.019779804932413294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.209)"
      },
      "parent_node_id": "node_3366",
      "improvement_over_parent": null
    },
    "node_3368": {
      "node_id": "node_3368",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 149.10 kg\n  Factor of Safety: 0.68\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": 149.09881217422983,
      "fos_buckling": 0.6830122805045219,
      "fos_yielding": 4.042939610377383,
      "deflection": 0.01702889245489556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3367",
      "improvement_over_parent": null
    },
    "node_3369": {
      "node_id": "node_3369",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 153.25 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.25460026522592,
      "fos_buckling": 0.6865781309773703,
      "fos_yielding": 3.8073993231115533,
      "deflection": 0.01665019644147528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003233)"
      },
      "parent_node_id": "node_3368",
      "improvement_over_parent": null
    },
    "node_3370": {
      "node_id": "node_3370",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n  Mass: 155.00 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.9951266334793,
      "fos_buckling": 0.7067354401257058,
      "fos_yielding": 3.8064407222349192,
      "deflection": 0.01613337521253873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.199)"
      },
      "parent_node_id": "node_3369",
      "improvement_over_parent": null
    },
    "node_3371": {
      "node_id": "node_3371",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 197.98 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.98431351484194,
      "fos_buckling": 0.8705502742331355,
      "fos_yielding": 4.854875576925064,
      "deflection": 0.012675355879870159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_3370",
      "improvement_over_parent": null
    },
    "node_3372": {
      "node_id": "node_3372",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 200.81 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.8100866347026,
      "fos_buckling": 0.8671921274089711,
      "fos_yielding": 4.854922422467465,
      "deflection": 0.012674435887642353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.340)"
      },
      "parent_node_id": "node_3371",
      "improvement_over_parent": null
    },
    "node_3373": {
      "node_id": "node_3373",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 203.93 kg\n  Factor of Safety: 1.30\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.925464534423,
      "fos_buckling": 1.302053727820079,
      "fos_yielding": 4.839646740689939,
      "deflection": 0.011810968046704036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)"
      },
      "parent_node_id": "node_3372",
      "improvement_over_parent": null
    },
    "node_3374": {
      "node_id": "node_3374",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 484)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 141.02 kg\n  Factor of Safety: 0.88\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": 141.01879787020204,
      "fos_buckling": 0.8797637533057777,
      "fos_yielding": 3.697775733450886,
      "deflection": 0.016422546578368193,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n\nPerformance:\n  Mass: 146.59 kg\n  Factor of Safety: 1.16\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.59087841699625,
      "fos_buckling": 1.1571154087147997,
      "fos_yielding": 3.4691459015562818,
      "deflection": 0.015544758669457835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003294)"
      },
      "parent_node_id": "node_3375",
      "improvement_over_parent": null
    },
    "node_3377": {
      "node_id": "node_3377",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n  Mass: 177.62 kg\n  Factor of Safety: 1.36\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": 177.61639770287584,
      "fos_buckling": 1.362367464784039,
      "fos_yielding": 4.1998847458991655,
      "deflection": 0.012887799677986873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3376",
      "improvement_over_parent": null
    },
    "node_3378": {
      "node_id": "node_3378",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 204.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.77709200635363,
      "fos_buckling": 1.530856152904011,
      "fos_yielding": 4.838599051693368,
      "deflection": 0.011222730682600844,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_3377",
      "improvement_over_parent": null
    },
    "node_3379": {
      "node_id": "node_3379",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "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 485)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 134.11 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.1085586569608,
      "fos_buckling": 0.3434326226663238,
      "fos_yielding": 2.5347163060616937,
      "deflection": 0.02470552706580508,
      "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 all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 165.82 kg\n  Factor of Safety: 0.41\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": 165.82486569272953,
      "fos_buckling": 0.40919184326522234,
      "fos_yielding": 3.136514153278548,
      "deflection": 0.020082270784487283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_3380",
      "improvement_over_parent": null
    },
    "node_3382": {
      "node_id": "node_3382",
      "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 167.69 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.68504955816013,
      "fos_buckling": 0.40887632791565953,
      "fos_yielding": 3.1360359681725716,
      "deflection": 0.01934121054794262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.305)"
      },
      "parent_node_id": "node_3381",
      "improvement_over_parent": null
    },
    "node_3383": {
      "node_id": "node_3383",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n  Mass: 168.46 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.91e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.45780809868927,
      "fos_buckling": 0.4088763279156594,
      "fos_yielding": 3.685095497640718,
      "deflection": 0.01906670252674267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.190)"
      },
      "parent_node_id": "node_3382",
      "improvement_over_parent": null
    },
    "node_3384": {
      "node_id": "node_3384",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.02 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.71e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.02077452465429,
      "fos_buckling": 0.4478731737423651,
      "fos_yielding": 4.13024972562879,
      "deflection": 0.017056784323551948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_3383",
      "improvement_over_parent": null
    },
    "node_3385": {
      "node_id": "node_3385",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 190.94 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.93806184467488,
      "fos_buckling": 0.4478023213053333,
      "fos_yielding": 4.13012006775605,
      "deflection": 0.01703306689818848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.279)"
      },
      "parent_node_id": "node_3384",
      "improvement_over_parent": null
    },
    "node_3386": {
      "node_id": "node_3386",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 192.06 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.0647096649615,
      "fos_buckling": 0.4475526916672889,
      "fos_yielding": 4.129662990697675,
      "deflection": 0.014364338338781401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3385",
      "improvement_over_parent": null
    },
    "node_3387": {
      "node_id": "node_3387",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.6037020049308,
      "fos_buckling": 1.5298472993117223,
      "fos_yielding": 4.830993707994091,
      "deflection": 0.011231945858405536,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)"
      },
      "parent_node_id": "node_3386",
      "improvement_over_parent": null
    },
    "node_3388": {
      "node_id": "node_3388",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3387",
      "improvement_over_parent": null
    },
    "node_3389": {
      "node_id": "node_3389",
      "content": "INITIAL DESIGN (Trace 486)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 153.86 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.8598846047122,
      "fos_buckling": 0.8315002996671985,
      "fos_yielding": 3.819873351199492,
      "deflection": 0.013688187290328143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3390": {
      "node_id": "node_3390",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n  Mass: 155.15 kg\n  Factor of Safety: 0.83\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": 155.14661851938672,
      "fos_buckling": 0.8315934270970402,
      "fos_yielding": 3.8411870087847904,
      "deflection": 0.013624485298123013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.252)"
      },
      "parent_node_id": "node_3389",
      "improvement_over_parent": null
    },
    "node_3391": {
      "node_id": "node_3391",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n  Mass: 161.96 kg\n  Factor of Safety: 1.26\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": 161.95903012792454,
      "fos_buckling": 1.260474883337662,
      "fos_yielding": 3.8312314244695513,
      "deflection": 0.014101382275152346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003855)"
      },
      "parent_node_id": "node_3390",
      "improvement_over_parent": null
    },
    "node_3392": {
      "node_id": "node_3392",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.74184064119893,
      "fos_buckling": 1.5306218525777882,
      "fos_yielding": 4.8377340389286605,
      "deflection": 0.011224567412568835,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_3391",
      "improvement_over_parent": null
    },
    "node_3393": {
      "node_id": "node_3393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3392",
      "improvement_over_parent": null
    },
    "node_3394": {
      "node_id": "node_3394",
      "content": "INITIAL DESIGN (Trace 487)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n  Mass: 108.45 kg\n  Factor of Safety: 0.27\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": 108.45353670222926,
      "fos_buckling": 0.2657700758149127,
      "fos_yielding": 2.093350767806588,
      "deflection": 0.03156246189692253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3395": {
      "node_id": "node_3395",
      "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n  Mass: 109.38 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.3839794956325,
      "fos_buckling": 0.2657489843704773,
      "fos_yielding": 2.0931846400314136,
      "deflection": 0.03154086718060013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.193)"
      },
      "parent_node_id": "node_3394",
      "improvement_over_parent": null
    },
    "node_3396": {
      "node_id": "node_3396",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n  Mass: 112.74 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.74240148797513,
      "fos_buckling": 0.265723612369194,
      "fos_yielding": 2.092984796244621,
      "deflection": 0.03081227754658093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002577)"
      },
      "parent_node_id": "node_3395",
      "improvement_over_parent": null
    },
    "node_3397": {
      "node_id": "node_3397",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n  Mass: 147.57 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.56522891355507,
      "fos_buckling": 0.3390821906050787,
      "fos_yielding": 2.741409025721794,
      "deflection": 0.02360412207025651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3396",
      "improvement_over_parent": null
    },
    "node_3398": {
      "node_id": "node_3398",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 164.81 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.81013831769573,
      "fos_buckling": 1.0793382185723976,
      "fos_yielding": 3.962324733616414,
      "deflection": 0.013826241031567536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006293)"
      },
      "parent_node_id": "node_3397",
      "improvement_over_parent": null
    },
    "node_3399": {
      "node_id": "node_3399",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0060)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 166.08 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.07718215304416,
      "fos_buckling": 1.1178647201105851,
      "fos_yielding": 4.660770589614999,
      "deflection": 0.01374431011580962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.290)"
      },
      "parent_node_id": "node_3398",
      "improvement_over_parent": null
    },
    "node_3400": {
      "node_id": "node_3400",
      "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0060)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0055)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 168.58 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.57551045045,
      "fos_buckling": 1.040562275005961,
      "fos_yielding": 4.6607896599046015,
      "deflection": 0.013648846589396788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.433)"
      },
      "parent_node_id": "node_3399",
      "improvement_over_parent": null
    },
    "node_3401": {
      "node_id": "node_3401",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0068)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 203.83 kg\n  Factor of Safety: 1.22\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.8278058728363,
      "fos_buckling": 1.215107708461736,
      "fos_yielding": 5.627361038212886,
      "deflection": 0.011342691786186705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_3400",
      "improvement_over_parent": null
    },
    "node_3402": {
      "node_id": "node_3402",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3401",
      "improvement_over_parent": null
    },
    "node_3403": {
      "node_id": "node_3403",
      "content": "INITIAL DESIGN (Trace 488)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n\nPerformance:\n  Mass: 98.00 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 97.9992802940525,
      "fos_buckling": 0.1640687605046343,
      "fos_yielding": 0.7582656047636377,
      "deflection": 0.06262678618770562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3404": {
      "node_id": "node_3404",
      "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n\nPerformance:\n  Mass: 98.76 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.23e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.75814007169431,
      "fos_buckling": 0.16406876050463445,
      "fos_yielding": 0.7582656047636387,
      "deflection": 0.06234510550539734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.389)"
      },
      "parent_node_id": "node_3403",
      "improvement_over_parent": null
    },
    "node_3405": {
      "node_id": "node_3405",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n\nPerformance:\n  Mass: 106.97 kg\n  Factor of Safety: 0.74\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": 106.96969312419405,
      "fos_buckling": 0.736114940756613,
      "fos_yielding": 2.607782204270668,
      "deflection": 0.021223866695748786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003695)"
      },
      "parent_node_id": "node_3404",
      "improvement_over_parent": null
    },
    "node_3406": {
      "node_id": "node_3406",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 139.52 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.51698523877099,
      "fos_buckling": 0.9406227968611973,
      "fos_yielding": 3.396976202788792,
      "deflection": 0.01634925240908171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_3405",
      "improvement_over_parent": null
    },
    "node_3407": {
      "node_id": "node_3407",
      "content": "MODIFICATION: Increase 20 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0066)]\n\nPerformance:\n  Mass: 142.96 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.95752108597273,
      "fos_buckling": 0.9379870668137005,
      "fos_yielding": 3.395387578195451,
      "deflection": 0.015600362412454487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.350)"
      },
      "parent_node_id": "node_3406",
      "improvement_over_parent": null
    },
    "node_3408": {
      "node_id": "node_3408",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0078)]\n\nPerformance:\n  Mass: 166.31 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.3087882817182,
      "fos_buckling": 1.0757382469517272,
      "fos_yielding": 3.948074102297968,
      "deflection": 0.013458372748915396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_3407",
      "improvement_over_parent": null
    },
    "node_3409": {
      "node_id": "node_3409",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0096)]\n\nPerformance:\n  Mass: 202.77 kg\n  Factor of Safety: 1.28\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": 202.77357923769955,
      "fos_buckling": 1.282124451236122,
      "fos_yielding": 4.810140908899791,
      "deflection": 0.011100460624209095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_3408",
      "improvement_over_parent": null
    },
    "node_3410": {
      "node_id": "node_3410",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0096)]\n\nPerformance:\n  Mass: 204.38 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.3848084978298,
      "fos_buckling": 1.2821245984801253,
      "fos_yielding": 4.83641972477854,
      "deflection": 0.011000423546214074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.255)"
      },
      "parent_node_id": "node_3409",
      "improvement_over_parent": null
    },
    "node_3411": {
      "node_id": "node_3411",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3410",
      "improvement_over_parent": null
    },
    "node_3412": {
      "node_id": "node_3412",
      "content": "INITIAL DESIGN (Trace 489)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n  Mass: 99.21 kg\n  Factor of Safety: 0.66\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": 99.2139182742631,
      "fos_buckling": 0.6574746549103567,
      "fos_yielding": 2.6445131397183994,
      "deflection": 0.022944557024813343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3413": {
      "node_id": "node_3413",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n  Mass: 128.18 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.18468280999292,
      "fos_buckling": 0.8229447328091695,
      "fos_yielding": 3.415730475790522,
      "deflection": 0.017841592247057506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3412",
      "improvement_over_parent": null
    },
    "node_3414": {
      "node_id": "node_3414",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n  Mass: 133.33 kg\n  Factor of Safety: 0.92\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": 133.33069987525687,
      "fos_buckling": 0.9172690882409008,
      "fos_yielding": 3.210260954456961,
      "deflection": 0.01691566413442855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003027)"
      },
      "parent_node_id": "node_3413",
      "improvement_over_parent": null
    },
    "node_3415": {
      "node_id": "node_3415",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 157.23 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.22885425964637,
      "fos_buckling": 1.067296568208606,
      "fos_yielding": 3.7827494891497464,
      "deflection": 0.01439515652463533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3414",
      "improvement_over_parent": null
    },
    "node_3416": {
      "node_id": "node_3416",
      "content": "MODIFICATION: Increase 15 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n  Mass: 161.23 kg\n  Factor of Safety: 1.21\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": 161.2347987348753,
      "fos_buckling": 1.2061430041193502,
      "fos_yielding": 3.787327988552463,
      "deflection": 0.014160441356827232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.520)"
      },
      "parent_node_id": "node_3415",
      "improvement_over_parent": null
    },
    "node_3417": {
      "node_id": "node_3417",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0086)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n  Mass: 206.76 kg\n  Factor of Safety: 1.49\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": 206.7603814771661,
      "fos_buckling": 1.4919524204923715,
      "fos_yielding": 4.854079736097169,
      "deflection": 0.011109940754801867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3416",
      "improvement_over_parent": null
    },
    "node_3418": {
      "node_id": "node_3418",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3417",
      "improvement_over_parent": null
    },
    "node_3419": {
      "node_id": "node_3419",
      "content": "INITIAL DESIGN (Trace 490)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.17 kg\n  Factor of Safety: 0.23\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": 133.16798160699437,
      "fos_buckling": 0.23397524480630036,
      "fos_yielding": 2.3951317553676685,
      "deflection": 0.018438753834997795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3420": {
      "node_id": "node_3420",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 133.96 kg\n  Factor of Safety: 0.85\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": 133.96027180277457,
      "fos_buckling": 0.8487973193263871,
      "fos_yielding": 2.395131755367669,
      "deflection": 0.016598423590160165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001713)"
      },
      "parent_node_id": "node_3419",
      "improvement_over_parent": null
    },
    "node_3421": {
      "node_id": "node_3421",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n  Mass: 135.35 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.35331611545055,
      "fos_buckling": 0.8487973193263871,
      "fos_yielding": 3.6296523821826443,
      "deflection": 0.016598423590160165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.548)"
      },
      "parent_node_id": "node_3420",
      "improvement_over_parent": null
    },
    "node_3422": {
      "node_id": "node_3422",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n  Mass: 162.75 kg\n  Factor of Safety: 1.01\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": 162.74523888764801,
      "fos_buckling": 1.0094161071013106,
      "fos_yielding": 4.362030976623454,
      "deflection": 0.01387020104376004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_3421",
      "improvement_over_parent": null
    },
    "node_3423": {
      "node_id": "node_3423",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 167.24 kg\n  Factor of Safety: 1.02\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": 167.23543671107066,
      "fos_buckling": 1.0240322541884082,
      "fos_yielding": 4.094668076492113,
      "deflection": 0.013045371410025753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003514)"
      },
      "parent_node_id": "node_3422",
      "improvement_over_parent": null
    },
    "node_3424": {
      "node_id": "node_3424",
      "content": "MODIFICATION: Increase 17 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 173.36 kg\n  Factor of Safety: 1.01\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": 173.36027234736014,
      "fos_buckling": 1.0147604100055128,
      "fos_yielding": 4.094617042947946,
      "deflection": 0.01288499802109226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.592)"
      },
      "parent_node_id": "node_3423",
      "improvement_over_parent": null
    },
    "node_3425": {
      "node_id": "node_3425",
      "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n  Mass: 176.06 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.06034397988378,
      "fos_buckling": 1.1672580549903067,
      "fos_yielding": 4.096030905658265,
      "deflection": 0.013089902502495154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.464)"
      },
      "parent_node_id": "node_3424",
      "improvement_over_parent": null
    },
    "node_3426": {
      "node_id": "node_3426",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0053)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0100)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 207.96 kg\n  Factor of Safety: 1.35\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.9554002225445,
      "fos_buckling": 1.3544617588155157,
      "fos_yielding": 4.837870089009982,
      "deflection": 0.011126835876994244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_3425",
      "improvement_over_parent": null
    },
    "node_3427": {
      "node_id": "node_3427",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3426",
      "improvement_over_parent": null
    },
    "node_3428": {
      "node_id": "node_3428",
      "content": "INITIAL DESIGN (Trace 491)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 113.71 kg\n  Factor of Safety: 0.27\n  Max Deflection: 1.31e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.71472664454106,
      "fos_buckling": 0.26599584275220933,
      "fos_yielding": 3.454252861211727,
      "deflection": 13138637703166.066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3429": {
      "node_id": "node_3429",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n  Mass: 115.54 kg\n  Factor of Safety: 0.17\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": 115.542294494357,
      "fos_buckling": 0.16906286976399348,
      "fos_yielding": 3.058828536470524,
      "deflection": 23497274242287.094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.247)"
      },
      "parent_node_id": "node_3428",
      "improvement_over_parent": null
    },
    "node_3430": {
      "node_id": "node_3430",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 145.22 kg\n  Factor of Safety: 0.71\n  Max Deflection: 5.01e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.21571995099646,
      "fos_buckling": 0.7136464751624707,
      "fos_yielding": 2.812078754598931,
      "deflection": 5012039624784.359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_3429",
      "improvement_over_parent": null
    },
    "node_3431": {
      "node_id": "node_3431",
      "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n  Mass: 147.67 kg\n  Factor of Safety: 0.71\n  Max Deflection: 9.37e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.66868640842154,
      "fos_buckling": 0.7136464751624707,
      "fos_yielding": 3.142609463442321,
      "deflection": 9368671124254.494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.361)"
      },
      "parent_node_id": "node_3430",
      "improvement_over_parent": null
    },
    "node_3432": {
      "node_id": "node_3432",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n  Mass: 165.52 kg\n  Factor of Safety: 0.96\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.5191057803068,
      "fos_buckling": 0.962841211879427,
      "fos_yielding": 3.9544388211864194,
      "deflection": 0.014407605452699018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006532)"
      },
      "parent_node_id": "node_3431",
      "improvement_over_parent": null
    },
    "node_3433": {
      "node_id": "node_3433",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n  Mass: 173.62 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.62253980660725,
      "fos_buckling": 0.9726935959980193,
      "fos_yielding": 3.060840546978465,
      "deflection": 0.013228751801182452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004754)"
      },
      "parent_node_id": "node_3432",
      "improvement_over_parent": null
    },
    "node_3434": {
      "node_id": "node_3434",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 202.88 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.88063685895352,
      "fos_buckling": 1.123423434866626,
      "fos_yielding": 3.591082812747639,
      "deflection": 0.011368131771302754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_3433",
      "improvement_over_parent": null
    },
    "node_3435": {
      "node_id": "node_3435",
      "content": "MODIFICATION: Increase 12 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0099)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n  Mass: 209.81 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.8114111091721,
      "fos_buckling": 1.1232931340219587,
      "fos_yielding": 3.590666299161355,
      "deflection": 0.01115690005975158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.650)"
      },
      "parent_node_id": "node_3434",
      "improvement_over_parent": null
    },
    "node_3436": {
      "node_id": "node_3436",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3435",
      "improvement_over_parent": null
    },
    "node_3437": {
      "node_id": "node_3437",
      "content": "INITIAL DESIGN (Trace 492)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n\nPerformance:\n  Mass: 82.21 kg\n  Factor of Safety: 0.18\n  Max Deflection: 6.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 82.21406061384764,
      "fos_buckling": 0.1799065146509565,
      "fos_yielding": 0.9207600648288266,
      "deflection": 0.06897142640024434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3438": {
      "node_id": "node_3438",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n  Mass: 105.76 kg\n  Factor of Safety: 0.23\n  Max Deflection: 5.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.76227233225354,
      "fos_buckling": 0.2253143446791185,
      "fos_yielding": 1.1798399789503335,
      "deflection": 0.05381136523280305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_3437",
      "improvement_over_parent": null
    },
    "node_3439": {
      "node_id": "node_3439",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n  Mass: 118.64 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.63821057693,
      "fos_buckling": 0.22506907133404325,
      "fos_yielding": 1.2955941436015657,
      "deflection": 0.04508642013311663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004609)"
      },
      "parent_node_id": "node_3438",
      "improvement_over_parent": null
    },
    "node_3440": {
      "node_id": "node_3440",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n  Mass: 147.89 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.63e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.89215867572509,
      "fos_buckling": 0.2721219732330894,
      "fos_yielding": 1.6072805028217678,
      "deflection": 0.03633795780913135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_3439",
      "improvement_over_parent": null
    },
    "node_3441": {
      "node_id": "node_3441",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n  Mass: 157.51 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.51140602550836,
      "fos_buckling": 1.231383059543403,
      "fos_yielding": 3.7259589524159225,
      "deflection": 0.01448863549608858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004873)"
      },
      "parent_node_id": "node_3440",
      "improvement_over_parent": null
    },
    "node_3442": {
      "node_id": "node_3442",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.58464638326097,
      "fos_buckling": 1.5302192704264304,
      "fos_yielding": 4.833400607089488,
      "deflection": 0.011231808744882525,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3441",
      "improvement_over_parent": null
    },
    "node_3443": {
      "node_id": "node_3443",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3442",
      "improvement_over_parent": null
    },
    "node_3444": {
      "node_id": "node_3444",
      "content": "INITIAL DESIGN (Trace 493)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n  Mass: 108.15 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.86e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.14646782276066,
      "fos_buckling": 0.17285063262030922,
      "fos_yielding": 0.8007288133596289,
      "deflection": 0.05855870410200389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3445": {
      "node_id": "node_3445",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n  Mass: 120.63 kg\n  Factor of Safety: 0.19\n  Max Deflection: 5.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.63082726560188,
      "fos_buckling": 0.19029438833947895,
      "fos_yielding": 0.8918488212173403,
      "deflection": 0.052582400077824255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_3444",
      "improvement_over_parent": null
    },
    "node_3446": {
      "node_id": "node_3446",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n  Mass: 133.78 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.75e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.77928181135434,
      "fos_buckling": 0.20811605619463708,
      "fos_yielding": 0.9875262177742794,
      "deflection": 0.04749418652494904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_3445",
      "improvement_over_parent": null
    },
    "node_3447": {
      "node_id": "node_3447",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 158.46 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.46229566498855,
      "fos_buckling": 0.24005999244177692,
      "fos_yielding": 1.1663395024962562,
      "deflection": 0.04022271353974005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_3446",
      "improvement_over_parent": null
    },
    "node_3448": {
      "node_id": "node_3448",
      "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 159.05 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.01e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.045131941777,
      "fos_buckling": 0.24003647748844822,
      "fos_yielding": 1.1662234041737505,
      "deflection": 0.04006704990940514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.309)"
      },
      "parent_node_id": "node_3447",
      "improvement_over_parent": null
    },
    "node_3449": {
      "node_id": "node_3449",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.17 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.1707072653335,
      "fos_buckling": 0.27625377727594636,
      "fos_yielding": 1.3822969032691206,
      "deflection": 0.03381564744757638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_3448",
      "improvement_over_parent": null
    },
    "node_3450": {
      "node_id": "node_3450",
      "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 189.41 kg\n  Factor of Safety: 0.28\n  Max Deflection: 3.38e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.41493662731014,
      "fos_buckling": 0.2762424907897306,
      "fos_yielding": 1.389508167742535,
      "deflection": 0.0337861948120076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.304)"
      },
      "parent_node_id": "node_3449",
      "improvement_over_parent": null
    },
    "node_3451": {
      "node_id": "node_3451",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.59949064221155,
      "fos_buckling": 1.529720533142391,
      "fos_yielding": 4.834253747536481,
      "deflection": 0.011231541050000047,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)"
      },
      "parent_node_id": "node_3450",
      "improvement_over_parent": null
    },
    "node_3452": {
      "node_id": "node_3452",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3451",
      "improvement_over_parent": null
    },
    "node_3453": {
      "node_id": "node_3453",
      "content": "INITIAL DESIGN (Trace 494)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n  Mass: 140.10 kg\n  Factor of Safety: 0.88\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": 140.09598706442884,
      "fos_buckling": 0.8831306784957692,
      "fos_yielding": 3.7123302260741147,
      "deflection": 0.01757120384933386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3454": {
      "node_id": "node_3454",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 160.54 kg\n  Factor of Safety: 0.99\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": 160.54279433739333,
      "fos_buckling": 0.9890936990916093,
      "fos_yielding": 4.252899579037532,
      "deflection": 0.015373420039777904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3453",
      "improvement_over_parent": null
    },
    "node_3455": {
      "node_id": "node_3455",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n  Mass: 164.92 kg\n  Factor of Safety: 1.03\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.9168519446325,
      "fos_buckling": 1.0328492768475843,
      "fos_yielding": 3.991597475662509,
      "deflection": 0.014616780257217339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003416)"
      },
      "parent_node_id": "node_3454",
      "improvement_over_parent": null
    },
    "node_3456": {
      "node_id": "node_3456",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 200.27 kg\n  Factor of Safety: 1.23\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": 200.2689986706937,
      "fos_buckling": 1.227739460791264,
      "fos_yielding": 4.841133056965228,
      "deflection": 0.012085115220268111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_3455",
      "improvement_over_parent": null
    },
    "node_3457": {
      "node_id": "node_3457",
      "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0082)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n  Mass: 204.01 kg\n  Factor of Safety: 1.23\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": 204.01373869049377,
      "fos_buckling": 1.2292428076585662,
      "fos_yielding": 4.841123353393747,
      "deflection": 0.012005890449131957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.456)"
      },
      "parent_node_id": "node_3456",
      "improvement_over_parent": null
    },
    "node_3458": {
      "node_id": "node_3458",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3457",
      "improvement_over_parent": null
    },
    "node_3459": {
      "node_id": "node_3459",
      "content": "INITIAL DESIGN (Trace 495)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n  Mass: 143.45 kg\n  Factor of Safety: 0.27\n  Max Deflection: 3.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.44858206192356,
      "fos_buckling": 0.2661999031251391,
      "fos_yielding": 1.532962918676982,
      "deflection": 0.037391596812283476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3460": {
      "node_id": "node_3460",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n  Mass: 161.13 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.34e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.12856032637626,
      "fos_buckling": 0.29342908253962763,
      "fos_yielding": 1.7172717340134585,
      "deflection": 0.03338272597182384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_3459",
      "improvement_over_parent": null
    },
    "node_3461": {
      "node_id": "node_3461",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.36 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.36090451413264,
      "fos_buckling": 0.33723776861980387,
      "fos_yielding": 2.0301757280763164,
      "deflection": 0.028244025829819663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3460",
      "improvement_over_parent": null
    },
    "node_3462": {
      "node_id": "node_3462",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 192.17 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.17010014183063,
      "fos_buckling": 0.33719214972995076,
      "fos_yielding": 2.0735328230411945,
      "deflection": 0.028161923874282794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.385)"
      },
      "parent_node_id": "node_3461",
      "improvement_over_parent": null
    },
    "node_3463": {
      "node_id": "node_3463",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.65790721884738,
      "fos_buckling": 1.5301399983503265,
      "fos_yielding": 4.835694412903573,
      "deflection": 0.011228883156840078,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)"
      },
      "parent_node_id": "node_3462",
      "improvement_over_parent": null
    },
    "node_3464": {
      "node_id": "node_3464",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3463",
      "improvement_over_parent": null
    },
    "node_3465": {
      "node_id": "node_3465",
      "content": "INITIAL DESIGN (Trace 496)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n  Mass: 137.89 kg\n  Factor of Safety: 0.81\n  Max Deflection: 3.86e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.89019149834158,
      "fos_buckling": 0.8145787347251964,
      "fos_yielding": 3.814985146000878,
      "deflection": 3856542762982.1934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3466": {
      "node_id": "node_3466",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n  Mass: 145.28 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.2841795202769,
      "fos_buckling": 0.828677399149518,
      "fos_yielding": 3.809887333386737,
      "deflection": 0.016488497187951822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003975)"
      },
      "parent_node_id": "node_3465",
      "improvement_over_parent": null
    },
    "node_3467": {
      "node_id": "node_3467",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n  Mass: 147.70 kg\n  Factor of Safety: 0.89\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": 147.7043013642708,
      "fos_buckling": 0.887376264790288,
      "fos_yielding": 3.762604372660123,
      "deflection": 0.01587893054640657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)"
      },
      "parent_node_id": "node_3466",
      "improvement_over_parent": null
    },
    "node_3468": {
      "node_id": "node_3468",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n  Mass: 148.26 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.26061712594836,
      "fos_buckling": 0.8873202938782065,
      "fos_yielding": 3.7616023822862554,
      "deflection": 0.01583657019733054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001519)"
      },
      "parent_node_id": "node_3467",
      "improvement_over_parent": null
    },
    "node_3469": {
      "node_id": "node_3469",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n  Mass: 159.05 kg\n  Factor of Safety: 1.24\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.04832763779683,
      "fos_buckling": 1.2411622986739006,
      "fos_yielding": 3.7626950633126244,
      "deflection": 0.014353382294039362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004801)"
      },
      "parent_node_id": "node_3468",
      "improvement_over_parent": null
    },
    "node_3470": {
      "node_id": "node_3470",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n  Mass: 204.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.83279234166855,
      "fos_buckling": 1.5311782216480236,
      "fos_yielding": 4.839901264522936,
      "deflection": 0.011219769558262139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_3469",
      "improvement_over_parent": null
    },
    "node_3471": {
      "node_id": "node_3471",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3470",
      "improvement_over_parent": null
    },
    "node_3472": {
      "node_id": "node_3472",
      "content": "INITIAL DESIGN (Trace 497)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 137.58 kg\n  Factor of Safety: 0.15\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.58360771775637,
      "fos_buckling": 0.1542218929980346,
      "fos_yielding": 3.4803634816521933,
      "deflection": 0.016090906918995423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3473": {
      "node_id": "node_3473",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n  Mass: 145.87 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.87265798003511,
      "fos_buckling": 1.1693799975035482,
      "fos_yielding": 3.5032686773651625,
      "deflection": 0.015656443459730003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004047)"
      },
      "parent_node_id": "node_3472",
      "improvement_over_parent": null
    },
    "node_3474": {
      "node_id": "node_3474",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n  Mass: 165.13 kg\n  Factor of Safety: 1.30\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": 165.12757180158198,
      "fos_buckling": 1.2999372472910173,
      "fos_yielding": 3.963251553318254,
      "deflection": 0.013868197105959408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3473",
      "improvement_over_parent": null
    },
    "node_3475": {
      "node_id": "node_3475",
      "content": "MODIFICATION: Increase 16 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n  Mass: 167.62 kg\n  Factor of Safety: 1.30\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": 167.62133041411076,
      "fos_buckling": 1.300453886480112,
      "fos_yielding": 3.9699058571035897,
      "deflection": 0.013616808111920875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.410)"
      },
      "parent_node_id": "node_3474",
      "improvement_over_parent": null
    },
    "node_3476": {
      "node_id": "node_3476",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.41198276260377,
      "fos_buckling": 1.5316721846286454,
      "fos_yielding": 4.836387048987115,
      "deflection": 0.011226061890876361,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_3475",
      "improvement_over_parent": null
    },
    "node_3477": {
      "node_id": "node_3477",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.7092941959846,
      "fos_buckling": 1.5315257122795873,
      "fos_yielding": 4.842757666978902,
      "deflection": 0.011231261614881468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.393)"
      },
      "parent_node_id": "node_3476",
      "improvement_over_parent": null
    },
    "node_3478": {
      "node_id": "node_3478",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n  Mass: 204.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.92354005295033,
      "fos_buckling": 1.5317704263965088,
      "fos_yielding": 4.842156315501358,
      "deflection": 0.011214996796777605,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.468)"
      },
      "parent_node_id": "node_3477",
      "improvement_over_parent": null
    },
    "node_3479": {
      "node_id": "node_3479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3478",
      "improvement_over_parent": null
    },
    "node_3480": {
      "node_id": "node_3480",
      "content": "INITIAL DESIGN (Trace 498)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 141.31 kg\n  Factor of Safety: 0.70\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": 141.3073562873455,
      "fos_buckling": 0.7009324685339728,
      "fos_yielding": 3.4737599683355156,
      "deflection": 0.017469742075100193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3481": {
      "node_id": "node_3481",
      "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n  Mass: 142.34 kg\n  Factor of Safety: 0.69\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": 142.33703308858497,
      "fos_buckling": 0.6856462753231759,
      "fos_yielding": 3.4742932465956873,
      "deflection": 0.01744466748885297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.403)"
      },
      "parent_node_id": "node_3480",
      "improvement_over_parent": null
    },
    "node_3482": {
      "node_id": "node_3482",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n  Mass: 161.92 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.92375531022103,
      "fos_buckling": 0.7671332462550189,
      "fos_yielding": 3.949857844226115,
      "deflection": 0.015360744647629833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_3481",
      "improvement_over_parent": null
    },
    "node_3483": {
      "node_id": "node_3483",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 164.49 kg\n  Factor of Safety: 1.18\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.4884969699764,
      "fos_buckling": 1.1784013678395708,
      "fos_yielding": 3.9377488722330187,
      "deflection": 0.01422894554701554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003372)"
      },
      "parent_node_id": "node_3482",
      "improvement_over_parent": null
    },
    "node_3484": {
      "node_id": "node_3484",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 166.89 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.89351861260687,
      "fos_buckling": 1.1723605375088668,
      "fos_yielding": 3.9834696726706937,
      "deflection": 0.013971791444379402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.558)"
      },
      "parent_node_id": "node_3483",
      "improvement_over_parent": null
    },
    "node_3485": {
      "node_id": "node_3485",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n  Mass: 168.60 kg\n  Factor of Safety: 1.30\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": 168.59975442826737,
      "fos_buckling": 1.304092116536702,
      "fos_yielding": 3.987381009555223,
      "deflection": 0.013558054246389086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.214)"
      },
      "parent_node_id": "node_3484",
      "improvement_over_parent": null
    },
    "node_3486": {
      "node_id": "node_3486",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n  Mass: 204.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.8311075264552,
      "fos_buckling": 1.5311454320557578,
      "fos_yielding": 4.839557487125961,
      "deflection": 0.011218955132382007,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_3485",
      "improvement_over_parent": null
    },
    "node_3487": {
      "node_id": "node_3487",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3486",
      "improvement_over_parent": null
    },
    "node_3488": {
      "node_id": "node_3488",
      "content": "INITIAL DESIGN (Trace 499)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 181.15 kg\n  Factor of Safety: 0.45\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": 181.15495575524432,
      "fos_buckling": 0.4537982942933308,
      "fos_yielding": 4.145800416188192,
      "deflection": 0.01678855773057578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3489": {
      "node_id": "node_3489",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 184.47 kg\n  Factor of Safety: 0.45\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": 184.47468079148763,
      "fos_buckling": 0.45367241178493034,
      "fos_yielding": 4.145574509546397,
      "deflection": 0.016694908218470767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.592)"
      },
      "parent_node_id": "node_3488",
      "improvement_over_parent": null
    },
    "node_3490": {
      "node_id": "node_3490",
      "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 188.42 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.41803751376696,
      "fos_buckling": 0.45352297215915366,
      "fos_yielding": 4.145306196879158,
      "deflection": 0.016587383201524388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.435)"
      },
      "parent_node_id": "node_3489",
      "improvement_over_parent": null
    },
    "node_3491": {
      "node_id": "node_3491",
      "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 191.17 kg\n  Factor of Safety: 0.45\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": 191.17445193903467,
      "fos_buckling": 0.45341857200157654,
      "fos_yielding": 4.145118666398159,
      "deflection": 0.016406879403331884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.311)"
      },
      "parent_node_id": "node_3490",
      "improvement_over_parent": null
    },
    "node_3492": {
      "node_id": "node_3492",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n  Mass: 202.19 kg\n  Factor of Safety: 1.35\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": 202.19010881492164,
      "fos_buckling": 1.3541734797055713,
      "fos_yielding": 4.768456596634359,
      "deflection": 0.011229989858271859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)"
      },
      "parent_node_id": "node_3491",
      "improvement_over_parent": null
    },
    "node_3493": {
      "node_id": "node_3493",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 203.32 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 203.31675663520826,
      "fos_buckling": 1.5163556190900855,
      "fos_yielding": 4.839710196322697,
      "deflection": 0.011254102728742115,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)"
      },
      "parent_node_id": "node_3492",
      "improvement_over_parent": null
    },
    "node_3494": {
      "node_id": "node_3494",
      "content": "MODIFICATION: Increase 15 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n  M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0068)]\n  M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n  M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n  Mass: 205.23 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.13e-02 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 205.23307134299532,
      "fos_buckling": 1.5319970062471873,
      "fos_yielding": 4.840253644165119,
      "deflection": 0.011348724343382273,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.188)"
      },
      "parent_node_id": "node_3493",
      "improvement_over_parent": null
    },
    "node_3495": {
      "node_id": "node_3495",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(3.20, 0.00) [free]\n  J2: pos=(6.40, 0.00) [free]\n  J3: pos=(9.60, 0.00) [free]\n  J4: pos=(12.80, 0.00) [roller]\n  J5: pos=(0.00, 1.92) [free]\n  J6: pos=(3.20, 1.92) [free]\n  J7: pos=(6.40, 1.92) [free]\n  J8: pos=(9.60, 1.92) [free]\n  J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n  M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n  M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n  M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n  M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n  M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n  M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n  M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n  M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n  M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n  M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n  M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n  M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n  M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n  M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n  M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n  M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n  M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n  Mass: 204.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 1.12e-02 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 204.70062213747016,
      "fos_buckling": 1.530394050101832,
      "fos_yielding": 4.836788473655829,
      "deflection": 0.011226809832519788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3494",
      "improvement_over_parent": null
    }
  },
  "edges": [
    {
      "from_node": "node_0",
      "to_node": "node_1",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.541)",
      "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 all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2",
      "to_node": "node_3",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004231)",
      "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 all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_4",
      "to_node": "node_5",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_5",
      "to_node": "node_6",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_7",
      "to_node": "node_8",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004527)",
      "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": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005201)",
      "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 9 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_10",
      "to_node": "node_11",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "edge_type": "modification",
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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, 1.175)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.391)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.230)",
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      "from_node": "node_29",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004605)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.562)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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      "reasoning": "Add member connecting joints 3 and 8",
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      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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      "reasoning": "Increase 2 thickness by 27%",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.271)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.314)",
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      "reasoning": "Increase 16 thickness by 50%",
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      "grammar_action": "SCALE_PARAM(16, thickness, 1.504)",
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      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.577)",
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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 24%",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.590)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_65",
      "edge_type": "modification",
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      "to_node": "node_66",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
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      "to_node": "node_67",
      "edge_type": "modification",
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      "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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      "to_node": "node_69",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_72",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.548)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.300)",
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      "to_node": "node_74",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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      "from_node": "node_74",
      "to_node": "node_75",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_75",
      "to_node": "node_76",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_77",
      "to_node": "node_78",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_78",
      "to_node": "node_79",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.422)",
      "action_type": null,
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    {
      "from_node": "node_79",
      "to_node": "node_80",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_80",
      "to_node": "node_81",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_82",
      "to_node": "node_83",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.230)",
      "action_type": null,
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    {
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      "to_node": "node_84",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
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    {
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      "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_85",
      "to_node": "node_86",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003864)",
      "action_type": null,
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    {
      "from_node": "node_86",
      "to_node": "node_87",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_87",
      "to_node": "node_88",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003560)",
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    {
      "from_node": "node_88",
      "to_node": "node_89",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
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    {
      "from_node": "node_89",
      "to_node": "node_90",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_91",
      "to_node": "node_92",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003804)",
      "action_type": null,
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    {
      "from_node": "node_92",
      "to_node": "node_93",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)",
      "action_type": null,
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    {
      "from_node": "node_93",
      "to_node": "node_94",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_94",
      "to_node": "node_95",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_96",
      "to_node": "node_97",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.002680)",
      "action_type": null,
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    {
      "from_node": "node_97",
      "to_node": "node_98",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_98",
      "to_node": "node_99",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003176)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_99",
      "to_node": "node_100",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_100",
      "to_node": "node_101",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_101",
      "to_node": "node_102",
      "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_102",
      "to_node": "node_103",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_104",
      "to_node": "node_105",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    },
    {
      "from_node": "node_105",
      "to_node": "node_106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003459)",
      "action_type": null,
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    {
      "from_node": "node_106",
      "to_node": "node_107",
      "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_107",
      "to_node": "node_108",
      "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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    {
      "from_node": "node_108",
      "to_node": "node_109",
      "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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    {
      "from_node": "node_109",
      "to_node": "node_110",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.255)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_110",
      "to_node": "node_111",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_111",
      "to_node": "node_112",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_113",
      "to_node": "node_114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
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    {
      "from_node": "node_114",
      "to_node": "node_115",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_115",
      "to_node": "node_116",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005251)",
      "action_type": null,
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    {
      "from_node": "node_116",
      "to_node": "node_117",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_117",
      "to_node": "node_118",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.236)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_118",
      "to_node": "node_119",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_119",
      "to_node": "node_120",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_120",
      "to_node": "node_121",
      "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_123",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.287)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_123",
      "to_node": "node_124",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.529)",
      "action_type": null,
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    {
      "from_node": "node_124",
      "to_node": "node_125",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    {
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      "to_node": "node_126",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_126",
      "to_node": "node_127",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_128",
      "to_node": "node_129",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_129",
      "to_node": "node_130",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.261)",
      "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_130",
      "to_node": "node_131",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_131",
      "to_node": "node_132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "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_132",
      "to_node": "node_133",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_135",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005386)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.244)",
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      "to_node": "node_137",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
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      "from_node": "node_137",
      "to_node": "node_138",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.370)",
      "action_type": null,
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      "to_node": "node_139",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.422)",
      "action_type": null,
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      "from_node": "node_139",
      "to_node": "node_140",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.488)",
      "action_type": null,
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    {
      "from_node": "node_140",
      "to_node": "node_141",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.274)",
      "action_type": null,
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      "from_node": "node_141",
      "to_node": "node_142",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_143",
      "to_node": "node_144",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    {
      "from_node": "node_144",
      "to_node": "node_145",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
      "from_node": "node_145",
      "to_node": "node_146",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.297)",
      "action_type": null,
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    {
      "from_node": "node_146",
      "to_node": "node_147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
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    {
      "from_node": "node_147",
      "to_node": "node_148",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_149",
      "to_node": "node_150",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    {
      "from_node": "node_150",
      "to_node": "node_151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    {
      "from_node": "node_151",
      "to_node": "node_152",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.550)",
      "action_type": null,
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    {
      "from_node": "node_152",
      "to_node": "node_153",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.364)",
      "action_type": null,
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    {
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      "to_node": "node_154",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_154",
      "to_node": "node_155",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_155",
      "to_node": "node_156",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_156",
      "to_node": "node_157",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_158",
      "to_node": "node_159",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_159",
      "to_node": "node_160",
      "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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    {
      "from_node": "node_160",
      "to_node": "node_161",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.357)",
      "action_type": null,
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    {
      "from_node": "node_161",
      "to_node": "node_162",
      "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_162",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.280)",
      "action_type": null,
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    {
      "from_node": "node_163",
      "to_node": "node_164",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
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    {
      "from_node": "node_164",
      "to_node": "node_165",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.294)",
      "action_type": null,
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    {
      "from_node": "node_165",
      "to_node": "node_166",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_167",
      "to_node": "node_168",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001554)",
      "action_type": null,
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    {
      "from_node": "node_168",
      "to_node": "node_169",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
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    {
      "from_node": "node_169",
      "to_node": "node_170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_170",
      "to_node": "node_171",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
      "from_node": "node_171",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_172",
      "to_node": "node_173",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
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    {
      "from_node": "node_173",
      "to_node": "node_174",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.445)",
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    {
      "from_node": "node_176",
      "to_node": "node_177",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.203)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.277)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.418)",
      "action_type": null,
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    {
      "from_node": "node_180",
      "to_node": "node_181",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
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    {
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      "to_node": "node_182",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.414)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_182",
      "to_node": "node_183",
      "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_185",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003242)",
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      "to_node": "node_186",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.626)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.302)",
      "action_type": null,
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      "to_node": "node_188",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004329)",
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    {
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      "to_node": "node_189",
      "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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      "to_node": "node_190",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.639)",
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      "target_member": null,
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    {
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      "to_node": "node_191",
      "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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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.355)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
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      "from_node": "node_197",
      "to_node": "node_198",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "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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      "from_node": "node_200",
      "to_node": "node_201",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003310)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003350)",
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      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.323)",
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      "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_204",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002827)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.613)",
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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, 1.253)",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.536)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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    {
      "from_node": "node_211",
      "to_node": "node_212",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_212",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_215",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003900)",
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    {
      "from_node": "node_215",
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      "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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      "from_node": "node_216",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005976)",
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    {
      "from_node": "node_217",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002099)",
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    {
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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": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.517)",
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    {
      "from_node": "node_222",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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    {
      "from_node": "node_223",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "edge_type": "modification",
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      "metadata": null,
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    {
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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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      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.437)",
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    {
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.314)",
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      "edge_type": "modification",
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    {
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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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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.229)",
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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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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.198)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.264)",
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      "to_node": "node_249",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.203)",
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    {
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      "to_node": "node_252",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003871)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.330)",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.277)",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
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      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006210)",
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      "reasoning": "Increase all_members thickness by 25%",
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      "reasoning": "Increase 9 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.479)",
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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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      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004006)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(19, thickness, 1.499)",
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    {
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    {
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    {
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      "edge_type": "modification",
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      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003568)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "to_node": "node_315",
      "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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      "from_node": "node_315",
      "to_node": "node_316",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
      "from_node": "node_316",
      "to_node": "node_317",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_318",
      "to_node": "node_319",
      "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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      "to_node": "node_320",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.215)",
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    {
      "from_node": "node_320",
      "to_node": "node_321",
      "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_321",
      "to_node": "node_322",
      "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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      "to_node": "node_323",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.236)",
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    {
      "from_node": "node_323",
      "to_node": "node_324",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004457)",
      "action_type": null,
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    {
      "from_node": "node_324",
      "to_node": "node_325",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
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    {
      "from_node": "node_325",
      "to_node": "node_326",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "to_node": "node_328",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.282)",
      "action_type": null,
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    {
      "from_node": "node_328",
      "to_node": "node_329",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.610)",
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    {
      "from_node": "node_329",
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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)",
      "action_type": null,
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    {
      "from_node": "node_330",
      "to_node": "node_331",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005531)",
      "action_type": null,
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    {
      "from_node": "node_331",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
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    {
      "from_node": "node_332",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_333",
      "to_node": "node_334",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_335",
      "to_node": "node_336",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
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    {
      "from_node": "node_336",
      "to_node": "node_337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003640)",
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    {
      "from_node": "node_337",
      "to_node": "node_338",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.181)",
      "action_type": null,
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    {
      "from_node": "node_338",
      "to_node": "node_339",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
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    {
      "from_node": "node_339",
      "to_node": "node_340",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.196)",
      "action_type": null,
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    {
      "from_node": "node_340",
      "to_node": "node_341",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_342",
      "to_node": "node_343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)",
      "action_type": null,
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    {
      "from_node": "node_343",
      "to_node": "node_344",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.209)",
      "action_type": null,
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    {
      "from_node": "node_344",
      "to_node": "node_345",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.215)",
      "action_type": null,
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    {
      "from_node": "node_345",
      "to_node": "node_346",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004382)",
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    {
      "from_node": "node_346",
      "to_node": "node_347",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
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    {
      "from_node": "node_347",
      "to_node": "node_348",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_349",
      "to_node": "node_350",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_350",
      "to_node": "node_351",
      "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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    {
      "from_node": "node_351",
      "to_node": "node_352",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.650)",
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    {
      "from_node": "node_352",
      "to_node": "node_353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005141)",
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    {
      "from_node": "node_353",
      "to_node": "node_354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003848)",
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    {
      "from_node": "node_354",
      "to_node": "node_355",
      "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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    {
      "from_node": "node_355",
      "to_node": "node_356",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_357",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004402)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.335)",
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    {
      "from_node": "node_359",
      "to_node": "node_360",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003892)",
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    {
      "from_node": "node_360",
      "to_node": "node_361",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_361",
      "to_node": "node_362",
      "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_364",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
      "action_type": null,
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      "to_node": "node_365",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.462)",
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    {
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      "to_node": "node_366",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.443)",
      "action_type": null,
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    {
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      "to_node": "node_367",
      "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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      "scale_factor": null
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    {
      "from_node": "node_367",
      "to_node": "node_368",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003772)",
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    {
      "from_node": "node_368",
      "to_node": "node_369",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_369",
      "to_node": "node_370",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_371",
      "to_node": "node_372",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.000746)",
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      "to_node": "node_373",
      "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_373",
      "to_node": "node_374",
      "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_374",
      "to_node": "node_375",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
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      "from_node": "node_375",
      "to_node": "node_376",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_376",
      "to_node": "node_377",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_377",
      "to_node": "node_378",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_378",
      "to_node": "node_379",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_380",
      "to_node": "node_381",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
      "action_type": null,
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    {
      "from_node": "node_381",
      "to_node": "node_382",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_382",
      "to_node": "node_383",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_383",
      "to_node": "node_384",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_385",
      "to_node": "node_386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_386",
      "to_node": "node_387",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002835)",
      "action_type": null,
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    {
      "from_node": "node_387",
      "to_node": "node_388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
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    {
      "from_node": "node_388",
      "to_node": "node_389",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_389",
      "to_node": "node_390",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_391",
      "to_node": "node_392",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.473)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_392",
      "to_node": "node_393",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_393",
      "to_node": "node_394",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_394",
      "to_node": "node_395",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_395",
      "to_node": "node_396",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_397",
      "to_node": "node_398",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_398",
      "to_node": "node_399",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_399",
      "to_node": "node_400",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_400",
      "to_node": "node_401",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_402",
      "to_node": "node_403",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_403",
      "to_node": "node_404",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_404",
      "to_node": "node_405",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.294)",
      "action_type": null,
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    {
      "from_node": "node_405",
      "to_node": "node_406",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_406",
      "to_node": "node_407",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_407",
      "to_node": "node_408",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_409",
      "to_node": "node_410",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004838)",
      "action_type": null,
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    },
    {
      "from_node": "node_410",
      "to_node": "node_411",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_411",
      "to_node": "node_412",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    },
    {
      "from_node": "node_412",
      "to_node": "node_413",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_414",
      "to_node": "node_415",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.333)",
      "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_415",
      "to_node": "node_416",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_416",
      "to_node": "node_417",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_417",
      "to_node": "node_418",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
      "from_node": "node_418",
      "to_node": "node_419",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_419",
      "to_node": "node_420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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      "old_value": null,
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    {
      "from_node": "node_420",
      "to_node": "node_421",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_422",
      "to_node": "node_423",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.600)",
      "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_423",
      "to_node": "node_424",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_424",
      "to_node": "node_425",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.495)",
      "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_425",
      "to_node": "node_426",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_426",
      "to_node": "node_427",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_428",
      "to_node": "node_429",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_429",
      "to_node": "node_430",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_430",
      "to_node": "node_431",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_431",
      "to_node": "node_432",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_433",
      "to_node": "node_434",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001714)",
      "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_434",
      "to_node": "node_435",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.182)",
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      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.399)",
      "action_type": null,
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    {
      "from_node": "node_436",
      "to_node": "node_437",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.618)",
      "action_type": null,
      "target_member": null,
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      "to_node": "node_438",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "from_node": "node_438",
      "to_node": "node_439",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.414)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_439",
      "to_node": "node_440",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_440",
      "to_node": "node_441",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_442",
      "to_node": "node_443",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_443",
      "to_node": "node_444",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_444",
      "to_node": "node_445",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.389)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_445",
      "to_node": "node_446",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_446",
      "to_node": "node_447",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_448",
      "to_node": "node_449",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_449",
      "to_node": "node_450",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005413)",
      "action_type": null,
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    {
      "from_node": "node_450",
      "to_node": "node_451",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.565)",
      "action_type": null,
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    {
      "from_node": "node_451",
      "to_node": "node_452",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
      "action_type": null,
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    {
      "from_node": "node_452",
      "to_node": "node_453",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_453",
      "to_node": "node_454",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.495)",
      "action_type": null,
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    {
      "from_node": "node_454",
      "to_node": "node_455",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_456",
      "to_node": "node_457",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_457",
      "to_node": "node_458",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
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    {
      "from_node": "node_458",
      "to_node": "node_459",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_459",
      "to_node": "node_460",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_460",
      "to_node": "node_461",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_461",
      "to_node": "node_462",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.205)",
      "action_type": null,
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    {
      "from_node": "node_462",
      "to_node": "node_463",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_464",
      "to_node": "node_465",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_465",
      "to_node": "node_466",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_466",
      "to_node": "node_467",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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    {
      "from_node": "node_467",
      "to_node": "node_468",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.311)",
      "action_type": null,
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    {
      "from_node": "node_468",
      "to_node": "node_469",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.645)",
      "action_type": null,
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    {
      "from_node": "node_469",
      "to_node": "node_470",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_471",
      "to_node": "node_472",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
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    },
    {
      "from_node": "node_472",
      "to_node": "node_473",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005397)",
      "action_type": null,
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    {
      "from_node": "node_473",
      "to_node": "node_474",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003605)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_474",
      "to_node": "node_475",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004807)",
      "action_type": null,
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    {
      "from_node": "node_475",
      "to_node": "node_476",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004468)",
      "action_type": null,
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      "to_node": "node_477",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.517)",
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    {
      "from_node": "node_477",
      "to_node": "node_478",
      "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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    {
      "from_node": "node_478",
      "to_node": "node_479",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_480",
      "to_node": "node_481",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005848)",
      "action_type": null,
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    {
      "from_node": "node_481",
      "to_node": "node_482",
      "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_482",
      "to_node": "node_483",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.387)",
      "action_type": null,
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    {
      "from_node": "node_483",
      "to_node": "node_484",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_485",
      "to_node": "node_486",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_486",
      "to_node": "node_487",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.381)",
      "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_487",
      "to_node": "node_488",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.211)",
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      "scale_factor": null
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    {
      "from_node": "node_488",
      "to_node": "node_489",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_489",
      "to_node": "node_490",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "to_node": "node_492",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_493",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_493",
      "to_node": "node_494",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_494",
      "to_node": "node_495",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.527)",
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      "to_node": "node_498",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.393)",
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      "from_node": "node_500",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.316)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.493)",
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    {
      "from_node": "node_502",
      "to_node": "node_503",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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      "to_node": "node_504",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.623)",
      "action_type": null,
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    {
      "from_node": "node_504",
      "to_node": "node_505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
      "from_node": "node_505",
      "to_node": "node_506",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_506",
      "to_node": "node_507",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_508",
      "to_node": "node_509",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004666)",
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    {
      "from_node": "node_509",
      "to_node": "node_510",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)",
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    {
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      "to_node": "node_511",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.391)",
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    {
      "from_node": "node_511",
      "to_node": "node_512",
      "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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    {
      "from_node": "node_512",
      "to_node": "node_513",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.294)",
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    {
      "from_node": "node_515",
      "to_node": "node_516",
      "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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    {
      "from_node": "node_516",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.182)",
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    {
      "from_node": "node_517",
      "to_node": "node_518",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_519",
      "to_node": "node_520",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
      "action_type": null,
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    {
      "from_node": "node_520",
      "to_node": "node_521",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.456)",
      "action_type": null,
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    {
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      "to_node": "node_522",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.364)",
      "action_type": null,
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    {
      "from_node": "node_522",
      "to_node": "node_523",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
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    {
      "from_node": "node_523",
      "to_node": "node_524",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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    {
      "from_node": "node_524",
      "to_node": "node_525",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_526",
      "to_node": "node_527",
      "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_527",
      "to_node": "node_528",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.182)",
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    {
      "from_node": "node_528",
      "to_node": "node_529",
      "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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    {
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      "to_node": "node_530",
      "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_531",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.429)",
      "action_type": null,
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    {
      "from_node": "node_531",
      "to_node": "node_532",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_533",
      "to_node": "node_534",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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    {
      "from_node": "node_534",
      "to_node": "node_535",
      "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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      "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_536",
      "to_node": "node_537",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004921)",
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    {
      "from_node": "node_537",
      "to_node": "node_538",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004831)",
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    {
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      "to_node": "node_539",
      "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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    {
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      "to_node": "node_540",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "to_node": "node_542",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.230)",
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    {
      "from_node": "node_542",
      "to_node": "node_543",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003550)",
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    {
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      "to_node": "node_544",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.355)",
      "action_type": null,
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    {
      "from_node": "node_544",
      "to_node": "node_545",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
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    {
      "from_node": "node_545",
      "to_node": "node_546",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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    {
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      "to_node": "node_547",
      "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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    {
      "from_node": "node_547",
      "to_node": "node_548",
      "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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    {
      "from_node": "node_548",
      "to_node": "node_549",
      "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_551",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002411)",
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    {
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      "to_node": "node_552",
      "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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    {
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      "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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    {
      "from_node": "node_553",
      "to_node": "node_554",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003982)",
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    {
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      "to_node": "node_555",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001580)",
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    {
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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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      "to_node": "node_557",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
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      "from_node": "node_557",
      "to_node": "node_558",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_560",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004107)",
      "action_type": null,
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    {
      "from_node": "node_560",
      "to_node": "node_561",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003664)",
      "action_type": null,
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    {
      "from_node": "node_561",
      "to_node": "node_562",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006197)",
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    {
      "from_node": "node_562",
      "to_node": "node_563",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
      "action_type": null,
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    {
      "from_node": "node_563",
      "to_node": "node_564",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_566",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_566",
      "to_node": "node_567",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001500)",
      "action_type": null,
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      "from_node": "node_567",
      "to_node": "node_568",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.562)",
      "action_type": null,
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    {
      "from_node": "node_568",
      "to_node": "node_569",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004222)",
      "action_type": null,
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    {
      "from_node": "node_569",
      "to_node": "node_570",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.218)",
      "action_type": null,
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    {
      "from_node": "node_570",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.302)",
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    {
      "from_node": "node_571",
      "to_node": "node_572",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_572",
      "to_node": "node_573",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_574",
      "to_node": "node_575",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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    {
      "from_node": "node_575",
      "to_node": "node_576",
      "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_576",
      "to_node": "node_577",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
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    {
      "from_node": "node_577",
      "to_node": "node_578",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005564)",
      "action_type": null,
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    },
    {
      "from_node": "node_578",
      "to_node": "node_579",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
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    {
      "from_node": "node_579",
      "to_node": "node_580",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.253)",
      "action_type": null,
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    {
      "from_node": "node_580",
      "to_node": "node_581",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_582",
      "to_node": "node_583",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.418)",
      "action_type": null,
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    {
      "from_node": "node_583",
      "to_node": "node_584",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_584",
      "to_node": "node_585",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
      "from_node": "node_585",
      "to_node": "node_586",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_587",
      "to_node": "node_588",
      "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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    {
      "from_node": "node_588",
      "to_node": "node_589",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003732)",
      "action_type": null,
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    {
      "from_node": "node_589",
      "to_node": "node_590",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
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    {
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      "to_node": "node_591",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.433)",
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    {
      "from_node": "node_591",
      "to_node": "node_592",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
      "action_type": null,
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    {
      "from_node": "node_592",
      "to_node": "node_593",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_594",
      "to_node": "node_595",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005137)",
      "action_type": null,
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    {
      "from_node": "node_595",
      "to_node": "node_596",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
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    {
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      "to_node": "node_597",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.562)",
      "action_type": null,
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    {
      "from_node": "node_597",
      "to_node": "node_598",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_599",
      "to_node": "node_600",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.266)",
      "action_type": null,
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    {
      "from_node": "node_600",
      "to_node": "node_601",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003703)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_601",
      "to_node": "node_602",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004998)",
      "action_type": null,
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    {
      "from_node": "node_602",
      "to_node": "node_603",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_603",
      "to_node": "node_604",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_605",
      "to_node": "node_606",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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    },
    {
      "from_node": "node_606",
      "to_node": "node_607",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
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    {
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      "to_node": "node_608",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
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    {
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      "to_node": "node_609",
      "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_610",
      "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_612",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003289)",
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    {
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      "to_node": "node_613",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
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    {
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      "to_node": "node_614",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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      "to_node": "node_615",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.179)",
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      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_616",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_617",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
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    {
      "from_node": "node_617",
      "to_node": "node_618",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_620",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.304)",
      "action_type": null,
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    {
      "from_node": "node_620",
      "to_node": "node_621",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
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    {
      "from_node": "node_621",
      "to_node": "node_622",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.389)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_622",
      "to_node": "node_623",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_624",
      "to_node": "node_625",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_625",
      "to_node": "node_626",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_626",
      "to_node": "node_627",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.238)",
      "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_627",
      "to_node": "node_628",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_629",
      "to_node": "node_630",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_630",
      "to_node": "node_631",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004342)",
      "action_type": null,
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    },
    {
      "from_node": "node_631",
      "to_node": "node_632",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_632",
      "to_node": "node_633",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_633",
      "to_node": "node_634",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_634",
      "to_node": "node_635",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_636",
      "to_node": "node_637",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.460)",
      "action_type": null,
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    {
      "from_node": "node_637",
      "to_node": "node_638",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.565)",
      "action_type": null,
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    {
      "from_node": "node_638",
      "to_node": "node_639",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.414)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
      "from_node": "node_639",
      "to_node": "node_640",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_640",
      "to_node": "node_641",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_641",
      "to_node": "node_642",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_642",
      "to_node": "node_643",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_644",
      "to_node": "node_645",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004316)",
      "action_type": null,
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    {
      "from_node": "node_645",
      "to_node": "node_646",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005830)",
      "action_type": null,
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    {
      "from_node": "node_646",
      "to_node": "node_647",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004874)",
      "action_type": null,
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    {
      "from_node": "node_647",
      "to_node": "node_648",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_648",
      "to_node": "node_649",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_649",
      "to_node": "node_650",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_650",
      "to_node": "node_651",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_652",
      "to_node": "node_653",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.508)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_653",
      "to_node": "node_654",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_654",
      "to_node": "node_655",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_655",
      "to_node": "node_656",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_657",
      "to_node": "node_658",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_658",
      "to_node": "node_659",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
      "from_node": "node_659",
      "to_node": "node_660",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_660",
      "to_node": "node_661",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_661",
      "to_node": "node_662",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_663",
      "to_node": "node_664",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_664",
      "to_node": "node_665",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_665",
      "to_node": "node_666",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_666",
      "to_node": "node_667",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_667",
      "to_node": "node_668",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_669",
      "to_node": "node_670",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002699)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_670",
      "to_node": "node_671",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003426)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_672",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.618)",
      "action_type": null,
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    {
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      "to_node": "node_673",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.391)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_674",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_674",
      "to_node": "node_675",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005840)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_675",
      "to_node": "node_676",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_676",
      "to_node": "node_677",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_678",
      "to_node": "node_679",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001944)",
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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, 0.028360, 0.003668)",
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      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.282)",
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      "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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      "to_node": "node_683",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.233)",
      "action_type": null,
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      "from_node": "node_683",
      "to_node": "node_684",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_686",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.252)",
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    {
      "from_node": "node_687",
      "to_node": "node_688",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.431)",
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    {
      "from_node": "node_688",
      "to_node": "node_689",
      "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_689",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.499)",
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    {
      "from_node": "node_690",
      "to_node": "node_691",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_692",
      "to_node": "node_693",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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    {
      "from_node": "node_693",
      "to_node": "node_694",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005009)",
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    {
      "from_node": "node_694",
      "to_node": "node_695",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
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    {
      "from_node": "node_695",
      "to_node": "node_696",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_697",
      "to_node": "node_698",
      "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_698",
      "to_node": "node_699",
      "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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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.200)",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.202)",
      "action_type": null,
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    {
      "from_node": "node_701",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.182)",
      "action_type": null,
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    {
      "from_node": "node_703",
      "to_node": "node_704",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.661)",
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    {
      "from_node": "node_706",
      "to_node": "node_707",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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    {
      "from_node": "node_707",
      "to_node": "node_708",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
      "from_node": "node_708",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.401)",
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      "to_node": "node_710",
      "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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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.513)",
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    {
      "from_node": "node_711",
      "to_node": "node_712",
      "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_714",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.312)",
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    {
      "from_node": "node_714",
      "to_node": "node_715",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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    {
      "from_node": "node_715",
      "to_node": "node_716",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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    {
      "from_node": "node_716",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.623)",
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    {
      "from_node": "node_717",
      "to_node": "node_718",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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    {
      "from_node": "node_718",
      "to_node": "node_719",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_720",
      "to_node": "node_721",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.441)",
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    {
      "from_node": "node_721",
      "to_node": "node_722",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.522)",
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    {
      "from_node": "node_722",
      "to_node": "node_723",
      "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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    {
      "from_node": "node_723",
      "to_node": "node_724",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
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    {
      "from_node": "node_724",
      "to_node": "node_725",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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    {
      "from_node": "node_725",
      "to_node": "node_726",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.314)",
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    {
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      "to_node": "node_729",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004048)",
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    {
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      "to_node": "node_730",
      "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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    {
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      "to_node": "node_731",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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      "to_node": "node_732",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
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      "to_node": "node_733",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_735",
      "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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      "to_node": "node_736",
      "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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    {
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      "to_node": "node_737",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
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    {
      "from_node": "node_737",
      "to_node": "node_738",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_740",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.002691)",
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      "reasoning": "Add member connecting joints 1 and 7",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "from_node": "node_745",
      "to_node": "node_746",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_748",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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    {
      "from_node": "node_748",
      "to_node": "node_749",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.287)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.616)",
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      "to_node": "node_755",
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      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003264)",
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      "reasoning": "Increase 18 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.466)",
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    {
      "from_node": "node_756",
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      "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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      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
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    {
      "from_node": "node_758",
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      "reasoning": "Add member connecting joints 2 and 8",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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      "to_node": "node_763",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.225)",
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      "reasoning": "Increase 7 thickness by 59%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.590)",
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    {
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      "edge_type": "modification",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.560)",
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      "to_node": "node_769",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
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      "grammar_action": "SCALE_PARAM(13, thickness, 1.333)",
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      "reasoning": "Increase all_members thickness by 32%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.439)",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.418)",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.422)",
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      "grammar_action": "SCALE_PARAM(4, thickness, 1.460)",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
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      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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      "to_node": "node_799",
      "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 all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
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      "to_node": "node_802",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_802",
      "to_node": "node_803",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_803",
      "to_node": "node_804",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_804",
      "to_node": "node_805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_805",
      "to_node": "node_806",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_807",
      "to_node": "node_808",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_808",
      "to_node": "node_809",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003278)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_809",
      "to_node": "node_810",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_810",
      "to_node": "node_811",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    },
    {
      "from_node": "node_811",
      "to_node": "node_812",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_813",
      "to_node": "node_814",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.664)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_814",
      "to_node": "node_815",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_815",
      "to_node": "node_816",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_816",
      "to_node": "node_817",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_817",
      "to_node": "node_818",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_818",
      "to_node": "node_819",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_820",
      "to_node": "node_821",
      "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_821",
      "to_node": "node_822",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_822",
      "to_node": "node_823",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_823",
      "to_node": "node_824",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_824",
      "to_node": "node_825",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_825",
      "to_node": "node_826",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_827",
      "to_node": "node_828",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002229)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_828",
      "to_node": "node_829",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.502)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_829",
      "to_node": "node_830",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_830",
      "to_node": "node_831",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_831",
      "to_node": "node_832",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_832",
      "to_node": "node_833",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_833",
      "to_node": "node_834",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_834",
      "to_node": "node_835",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_836",
      "to_node": "node_837",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005253)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_837",
      "to_node": "node_838",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.502)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_838",
      "to_node": "node_839",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004651)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_839",
      "to_node": "node_840",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_840",
      "to_node": "node_841",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_841",
      "to_node": "node_842",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_842",
      "to_node": "node_843",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_843",
      "to_node": "node_844",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_845",
      "to_node": "node_846",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_846",
      "to_node": "node_847",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003108)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_847",
      "to_node": "node_848",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_848",
      "to_node": "node_849",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_849",
      "to_node": "node_850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_850",
      "to_node": "node_851",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_851",
      "to_node": "node_852",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_852",
      "to_node": "node_853",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_855",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_855",
      "to_node": "node_856",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_856",
      "to_node": "node_857",
      "edge_type": "modification",
      "reasoning": "Increase 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_857",
      "to_node": "node_858",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_858",
      "to_node": "node_859",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.387)",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.377)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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      "from_node": "node_864",
      "to_node": "node_865",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
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    {
      "from_node": "node_865",
      "to_node": "node_866",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "from_node": "node_868",
      "to_node": "node_869",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
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      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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    {
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      "to_node": "node_870",
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      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
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      "to_node": "node_871",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
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      "to_node": "node_872",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.346)",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.513)",
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      "reasoning": "Increase 15 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.653)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
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    {
      "from_node": "node_877",
      "to_node": "node_878",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
      "from_node": "node_878",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_881",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
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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, 1.156)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.328)",
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    {
      "from_node": "node_883",
      "to_node": "node_884",
      "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_884",
      "to_node": "node_885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.592)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.188)",
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    {
      "from_node": "node_888",
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      "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_889",
      "to_node": "node_890",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_891",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004151)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001847)",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.531)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.236)",
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    {
      "from_node": "node_895",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001473)",
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    {
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      "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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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
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    {
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      "to_node": "node_899",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.433)",
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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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      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.340)",
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    {
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      "to_node": "node_904",
      "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, 1.393)",
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      "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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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.484)",
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      "to_node": "node_910",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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    {
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      "to_node": "node_911",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_913",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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      "to_node": "node_914",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.387)",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.220)",
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    {
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      "to_node": "node_916",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_918",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.527)",
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      "to_node": "node_919",
      "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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      "to_node": "node_920",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.555)",
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    {
      "from_node": "node_920",
      "to_node": "node_921",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "to_node": "node_926",
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      "edge_type": "modification",
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      "to_node": "node_931",
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      "reasoning": "Add member connecting joints 1 and 6",
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      "reasoning": "Add member connecting joints 8 and 9",
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      "reasoning": "Add member connecting joints 7 and 8",
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      "to_node": "node_946",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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      "to_node": "node_949",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 51%",
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      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, 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, 1.252)",
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      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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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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      "grammar_action": "SCALE_PARAM(13, thickness, 1.431)",
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    {
      "from_node": "node_955",
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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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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003792)",
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    {
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      "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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      "edge_type": "modification",
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    {
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.506)",
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    {
      "from_node": "node_961",
      "to_node": "node_962",
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      "reasoning": "Add member connecting joints 6 and 7",
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      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005272)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.653)",
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    {
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      "to_node": "node_964",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
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      "grammar_action": "SCALE_PARAM(3, thickness, 1.385)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.357)",
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      "to_node": "node_968",
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      "reasoning": "Optimal solution",
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      "to_node": "node_971",
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      "to_node": "node_972",
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      "grammar_action": "SCALE_PARAM(11, thickness, 1.377)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_977",
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      "grammar_action": "SCALE_PARAM(14, thickness, 1.420)",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 49%",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.486)",
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      "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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      "to_node": "node_985",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.531)",
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    {
      "from_node": "node_985",
      "to_node": "node_986",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_988",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_988",
      "to_node": "node_989",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.181)",
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      "from_node": "node_990",
      "to_node": "node_991",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004659)",
      "action_type": null,
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    {
      "from_node": "node_991",
      "to_node": "node_992",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004653)",
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    {
      "from_node": "node_992",
      "to_node": "node_993",
      "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_993",
      "to_node": "node_994",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.372)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.387)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.383)",
      "action_type": null,
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      "from_node": "node_998",
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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_999",
      "to_node": "node_1000",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1001",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
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    {
      "from_node": "node_1002",
      "to_node": "node_1003",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    {
      "from_node": "node_1003",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.511)",
      "action_type": null,
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    {
      "from_node": "node_1004",
      "to_node": "node_1005",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1006",
      "to_node": "node_1007",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003045)",
      "action_type": null,
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    {
      "from_node": "node_1007",
      "to_node": "node_1008",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
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    {
      "from_node": "node_1008",
      "to_node": "node_1009",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.208)",
      "action_type": null,
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    {
      "from_node": "node_1009",
      "to_node": "node_1010",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004933)",
      "action_type": null,
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    {
      "from_node": "node_1010",
      "to_node": "node_1011",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.274)",
      "action_type": null,
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    {
      "from_node": "node_1011",
      "to_node": "node_1012",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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    {
      "from_node": "node_1012",
      "to_node": "node_1013",
      "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_1015",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.389)",
      "action_type": null,
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    {
      "from_node": "node_1015",
      "to_node": "node_1016",
      "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_1016",
      "to_node": "node_1017",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003777)",
      "action_type": null,
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    {
      "from_node": "node_1017",
      "to_node": "node_1018",
      "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_1018",
      "to_node": "node_1019",
      "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_1019",
      "to_node": "node_1020",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_1020",
      "to_node": "node_1021",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.339)",
      "action_type": null,
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    {
      "from_node": "node_1021",
      "to_node": "node_1022",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1024",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.445)",
      "action_type": null,
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    {
      "from_node": "node_1024",
      "to_node": "node_1025",
      "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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    {
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      "to_node": "node_1026",
      "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_1027",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.199)",
      "action_type": null,
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    {
      "from_node": "node_1027",
      "to_node": "node_1028",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
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      "to_node": "node_1029",
      "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_1031",
      "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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    {
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      "to_node": "node_1032",
      "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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      "to_node": "node_1033",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
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    {
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      "to_node": "node_1034",
      "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_1036",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004328)",
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      "to_node": "node_1037",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.393)",
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    {
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      "to_node": "node_1038",
      "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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    {
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      "to_node": "node_1039",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1041",
      "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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    {
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      "to_node": "node_1042",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
      "from_node": "node_1042",
      "to_node": "node_1043",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
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      "to_node": "node_1105",
      "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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    {
      "from_node": "node_1105",
      "to_node": "node_1106",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1107",
      "to_node": "node_1108",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1108",
      "to_node": "node_1109",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1109",
      "to_node": "node_1110",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1110",
      "to_node": "node_1111",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_1112",
      "to_node": "node_1113",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1113",
      "to_node": "node_1114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1114",
      "to_node": "node_1115",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.603)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1115",
      "to_node": "node_1116",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1116",
      "to_node": "node_1117",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1118",
      "to_node": "node_1119",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1119",
      "to_node": "node_1120",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1120",
      "to_node": "node_1121",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.499)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1121",
      "to_node": "node_1122",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003896)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1122",
      "to_node": "node_1123",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1123",
      "to_node": "node_1124",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1124",
      "to_node": "node_1125",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1126",
      "to_node": "node_1127",
      "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_1127",
      "to_node": "node_1128",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1128",
      "to_node": "node_1129",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1129",
      "to_node": "node_1130",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1130",
      "to_node": "node_1131",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1131",
      "to_node": "node_1132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1132",
      "to_node": "node_1133",
      "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
    },
    {
      "from_node": "node_1134",
      "to_node": "node_1135",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1135",
      "to_node": "node_1136",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1136",
      "to_node": "node_1137",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003848)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1137",
      "to_node": "node_1138",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1138",
      "to_node": "node_1139",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1139",
      "to_node": "node_1140",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1140",
      "to_node": "node_1141",
      "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
    },
    {
      "from_node": "node_1142",
      "to_node": "node_1143",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1143",
      "to_node": "node_1144",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_1144",
      "to_node": "node_1145",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1145",
      "to_node": "node_1146",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1146",
      "to_node": "node_1147",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1147",
      "to_node": "node_1148",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1149",
      "to_node": "node_1150",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1150",
      "to_node": "node_1151",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1151",
      "to_node": "node_1152",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1152",
      "to_node": "node_1153",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1153",
      "to_node": "node_1154",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1155",
      "to_node": "node_1156",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1156",
      "to_node": "node_1157",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1157",
      "to_node": "node_1158",
      "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_1158",
      "to_node": "node_1159",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_1161",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
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    {
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      "to_node": "node_1162",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1162",
      "to_node": "node_1163",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005590)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1163",
      "to_node": "node_1164",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003644)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1164",
      "to_node": "node_1165",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.212)",
      "action_type": null,
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      "to_node": "node_1166",
      "edge_type": "modification",
      "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_1167",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.585)",
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      "from_node": "node_1167",
      "to_node": "node_1168",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_1169",
      "to_node": "node_1170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.002519)",
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      "from_node": "node_1170",
      "to_node": "node_1171",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
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    {
      "from_node": "node_1171",
      "to_node": "node_1172",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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      "to_node": "node_1173",
      "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_1173",
      "to_node": "node_1174",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005183)",
      "action_type": null,
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    {
      "from_node": "node_1174",
      "to_node": "node_1175",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
      "action_type": null,
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    {
      "from_node": "node_1175",
      "to_node": "node_1176",
      "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_1176",
      "to_node": "node_1177",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1178",
      "to_node": "node_1179",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.235)",
      "action_type": null,
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      "from_node": "node_1179",
      "to_node": "node_1180",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.387)",
      "action_type": null,
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      "to_node": "node_1181",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.239)",
      "action_type": null,
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      "from_node": "node_1181",
      "to_node": "node_1182",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
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    {
      "from_node": "node_1182",
      "to_node": "node_1183",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1184",
      "to_node": "node_1185",
      "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_1186",
      "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_1186",
      "to_node": "node_1187",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_1187",
      "to_node": "node_1188",
      "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_1190",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.253)",
      "action_type": null,
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    {
      "from_node": "node_1190",
      "to_node": "node_1191",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
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    {
      "from_node": "node_1191",
      "to_node": "node_1192",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005648)",
      "action_type": null,
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    {
      "from_node": "node_1192",
      "to_node": "node_1193",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.422)",
      "action_type": null,
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    {
      "from_node": "node_1193",
      "to_node": "node_1194",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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    {
      "from_node": "node_1194",
      "to_node": "node_1195",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1196",
      "to_node": "node_1197",
      "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_1197",
      "to_node": "node_1198",
      "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_1199",
      "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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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
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    {
      "from_node": "node_1200",
      "to_node": "node_1201",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
      "from_node": "node_1201",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.263)",
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    {
      "from_node": "node_1202",
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      "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_1205",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005795)",
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    {
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      "to_node": "node_1206",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.235)",
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    {
      "from_node": "node_1206",
      "to_node": "node_1207",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005256)",
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    {
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      "to_node": "node_1208",
      "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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    {
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      "to_node": "node_1209",
      "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_1211",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003757)",
      "action_type": null,
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    {
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      "to_node": "node_1212",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
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      "scale_factor": null
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    {
      "from_node": "node_1212",
      "to_node": "node_1213",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004955)",
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      "to_node": "node_1214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
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      "to_node": "node_1215",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.271)",
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      "to_node": "node_1216",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1218",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.408)",
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      "scale_factor": null
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      "to_node": "node_1219",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002406)",
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    {
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      "to_node": "node_1220",
      "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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    {
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      "to_node": "node_1221",
      "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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    {
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      "to_node": "node_1222",
      "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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      "scale_factor": null
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    {
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      "to_node": "node_1223",
      "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_1225",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003934)",
      "action_type": null,
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    {
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      "to_node": "node_1226",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003174)",
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      "to_node": "node_1227",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005368)",
      "action_type": null,
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      "to_node": "node_1228",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.250)",
      "action_type": null,
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    {
      "from_node": "node_1228",
      "to_node": "node_1229",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001503)",
      "action_type": null,
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    {
      "from_node": "node_1229",
      "to_node": "node_1230",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
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    {
      "from_node": "node_1230",
      "to_node": "node_1231",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
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    {
      "from_node": "node_1231",
      "to_node": "node_1232",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1233",
      "to_node": "node_1234",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
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    {
      "from_node": "node_1234",
      "to_node": "node_1235",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
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    {
      "from_node": "node_1235",
      "to_node": "node_1236",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.250)",
      "action_type": null,
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    {
      "from_node": "node_1236",
      "to_node": "node_1237",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1238",
      "to_node": "node_1239",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1239",
      "to_node": "node_1240",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1240",
      "to_node": "node_1241",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001459)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1241",
      "to_node": "node_1242",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
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    {
      "from_node": "node_1242",
      "to_node": "node_1243",
      "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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    {
      "from_node": "node_1243",
      "to_node": "node_1244",
      "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_1244",
      "to_node": "node_1245",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_1245",
      "to_node": "node_1246",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1247",
      "to_node": "node_1248",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
      "action_type": null,
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    {
      "from_node": "node_1248",
      "to_node": "node_1249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_1249",
      "to_node": "node_1250",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.221)",
      "action_type": null,
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    {
      "from_node": "node_1250",
      "to_node": "node_1251",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.587)",
      "action_type": null,
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    {
      "from_node": "node_1251",
      "to_node": "node_1252",
      "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_1252",
      "to_node": "node_1253",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1253",
      "to_node": "node_1254",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_1254",
      "to_node": "node_1255",
      "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_1257",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_1257",
      "to_node": "node_1258",
      "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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    {
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      "to_node": "node_1259",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.294)",
      "action_type": null,
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    {
      "from_node": "node_1259",
      "to_node": "node_1260",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_1260",
      "to_node": "node_1261",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1262",
      "to_node": "node_1263",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.603)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1263",
      "to_node": "node_1264",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.486)",
      "action_type": null,
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    {
      "from_node": "node_1264",
      "to_node": "node_1265",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.580)",
      "action_type": null,
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    {
      "from_node": "node_1265",
      "to_node": "node_1266",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.403)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1266",
      "to_node": "node_1267",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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    {
      "from_node": "node_1267",
      "to_node": "node_1268",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1269",
      "to_node": "node_1270",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003616)",
      "action_type": null,
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    {
      "from_node": "node_1270",
      "to_node": "node_1271",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1271",
      "to_node": "node_1272",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1272",
      "to_node": "node_1273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004823)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1273",
      "to_node": "node_1274",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004054)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1274",
      "to_node": "node_1275",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.340)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1275",
      "to_node": "node_1276",
      "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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    {
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      "to_node": "node_1277",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1279",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1280",
      "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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      "scale_factor": null
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    {
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      "to_node": "node_1281",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003667)",
      "action_type": null,
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    {
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      "to_node": "node_1282",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1283",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1283",
      "to_node": "node_1284",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003629)",
      "action_type": null,
      "target_member": 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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      "from_node": "node_1285",
      "to_node": "node_1286",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1288",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001482)",
      "action_type": null,
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    {
      "from_node": "node_1288",
      "to_node": "node_1289",
      "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_1289",
      "to_node": "node_1290",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003690)",
      "action_type": null,
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    {
      "from_node": "node_1290",
      "to_node": "node_1291",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006770)",
      "action_type": null,
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      "to_node": "node_1292",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.395)",
      "action_type": null,
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    {
      "from_node": "node_1292",
      "to_node": "node_1293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004351)",
      "action_type": null,
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    {
      "from_node": "node_1293",
      "to_node": "node_1294",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
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    {
      "from_node": "node_1294",
      "to_node": "node_1295",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1296",
      "to_node": "node_1297",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
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    {
      "from_node": "node_1297",
      "to_node": "node_1298",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004618)",
      "action_type": null,
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    {
      "from_node": "node_1298",
      "to_node": "node_1299",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004977)",
      "action_type": null,
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    {
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      "to_node": "node_1300",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
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    {
      "from_node": "node_1300",
      "to_node": "node_1301",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.484)",
      "action_type": null,
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    {
      "from_node": "node_1301",
      "to_node": "node_1302",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1303",
      "to_node": "node_1304",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
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    {
      "from_node": "node_1304",
      "to_node": "node_1305",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.328)",
      "action_type": null,
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    {
      "from_node": "node_1305",
      "to_node": "node_1306",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006505)",
      "action_type": null,
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    {
      "from_node": "node_1306",
      "to_node": "node_1307",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_1307",
      "to_node": "node_1308",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.214)",
      "action_type": null,
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    {
      "from_node": "node_1308",
      "to_node": "node_1309",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_1309",
      "to_node": "node_1310",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    {
      "from_node": "node_1310",
      "to_node": "node_1311",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1312",
      "to_node": "node_1313",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.439)",
      "action_type": null,
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    {
      "from_node": "node_1313",
      "to_node": "node_1314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
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    {
      "from_node": "node_1314",
      "to_node": "node_1315",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.399)",
      "action_type": null,
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    {
      "from_node": "node_1315",
      "to_node": "node_1316",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_1316",
      "to_node": "node_1317",
      "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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    {
      "from_node": "node_1317",
      "to_node": "node_1318",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1319",
      "to_node": "node_1320",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    },
    {
      "from_node": "node_1320",
      "to_node": "node_1321",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.190)",
      "action_type": null,
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    },
    {
      "from_node": "node_1321",
      "to_node": "node_1322",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    },
    {
      "from_node": "node_1322",
      "to_node": "node_1323",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.468)",
      "action_type": null,
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    {
      "from_node": "node_1323",
      "to_node": "node_1324",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1325",
      "to_node": "node_1326",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004874)",
      "action_type": null,
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    {
      "from_node": "node_1326",
      "to_node": "node_1327",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003545)",
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    {
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      "to_node": "node_1328",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.355)",
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      "scale_factor": null
    },
    {
      "from_node": "node_1328",
      "to_node": "node_1329",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002132)",
      "action_type": null,
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    {
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      "to_node": "node_1330",
      "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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    {
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      "to_node": "node_1331",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.587)",
      "action_type": null,
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    {
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      "to_node": "node_1332",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.399)",
      "action_type": null,
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    {
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      "to_node": "node_1333",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1334",
      "to_node": "node_1335",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003903)",
      "action_type": null,
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    },
    {
      "from_node": "node_1335",
      "to_node": "node_1336",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005077)",
      "action_type": null,
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    {
      "from_node": "node_1336",
      "to_node": "node_1337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004420)",
      "action_type": null,
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    {
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      "to_node": "node_1338",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.312)",
      "action_type": null,
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    {
      "from_node": "node_1338",
      "to_node": "node_1339",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)",
      "action_type": null,
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    },
    {
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      "to_node": "node_1340",
      "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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      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1341",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1341",
      "to_node": "node_1342",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1344",
      "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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      "from_node": "node_1344",
      "to_node": "node_1345",
      "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_1345",
      "to_node": "node_1346",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    {
      "from_node": "node_1346",
      "to_node": "node_1347",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1347",
      "to_node": "node_1348",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1349",
      "to_node": "node_1350",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1350",
      "to_node": "node_1351",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.001906)",
      "action_type": null,
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    {
      "from_node": "node_1351",
      "to_node": "node_1352",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1352",
      "to_node": "node_1353",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
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    {
      "from_node": "node_1353",
      "to_node": "node_1354",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1354",
      "to_node": "node_1355",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
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    {
      "from_node": "node_1355",
      "to_node": "node_1356",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.626)",
      "action_type": null,
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    {
      "from_node": "node_1356",
      "to_node": "node_1357",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1358",
      "to_node": "node_1359",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003942)",
      "action_type": null,
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    },
    {
      "from_node": "node_1359",
      "to_node": "node_1360",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003106)",
      "action_type": null,
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    {
      "from_node": "node_1360",
      "to_node": "node_1361",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002738)",
      "action_type": null,
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    {
      "from_node": "node_1361",
      "to_node": "node_1362",
      "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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    {
      "from_node": "node_1362",
      "to_node": "node_1363",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
      "action_type": null,
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    {
      "from_node": "node_1363",
      "to_node": "node_1364",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1365",
      "to_node": "node_1366",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
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    {
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      "to_node": "node_1367",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.385)",
      "action_type": null,
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    {
      "from_node": "node_1367",
      "to_node": "node_1368",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
      "from_node": "node_1368",
      "to_node": "node_1369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_1369",
      "to_node": "node_1370",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1371",
      "to_node": "node_1372",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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    {
      "from_node": "node_1372",
      "to_node": "node_1373",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1373",
      "to_node": "node_1374",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.344)",
      "action_type": null,
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    {
      "from_node": "node_1374",
      "to_node": "node_1375",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.642)",
      "action_type": null,
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    {
      "from_node": "node_1375",
      "to_node": "node_1376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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    {
      "from_node": "node_1376",
      "to_node": "node_1377",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1378",
      "to_node": "node_1379",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.188)",
      "action_type": null,
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    {
      "from_node": "node_1379",
      "to_node": "node_1380",
      "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_1380",
      "to_node": "node_1381",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003487)",
      "action_type": null,
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    },
    {
      "from_node": "node_1381",
      "to_node": "node_1382",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003956)",
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    {
      "from_node": "node_1382",
      "to_node": "node_1383",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
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    {
      "from_node": "node_1383",
      "to_node": "node_1384",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
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      "to_node": "node_1387",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.225)",
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    {
      "from_node": "node_1387",
      "to_node": "node_1388",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004469)",
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    {
      "from_node": "node_1388",
      "to_node": "node_1389",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1389",
      "to_node": "node_1390",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005390)",
      "action_type": null,
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    {
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      "to_node": "node_1391",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.429)",
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    {
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      "to_node": "node_1392",
      "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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      "scale_factor": null
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    {
      "from_node": "node_1392",
      "to_node": "node_1393",
      "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_1395",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.506)",
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    {
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      "to_node": "node_1396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006943)",
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    {
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      "to_node": "node_1397",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004242)",
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    {
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      "to_node": "node_1398",
      "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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      "scale_factor": null
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    {
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      "to_node": "node_1399",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1400",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1400",
      "to_node": "node_1401",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_1402",
      "to_node": "node_1403",
      "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_1403",
      "to_node": "node_1404",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1404",
      "to_node": "node_1405",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1405",
      "to_node": "node_1406",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1406",
      "to_node": "node_1407",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_1408",
      "to_node": "node_1409",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1409",
      "to_node": "node_1410",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1410",
      "to_node": "node_1411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1411",
      "to_node": "node_1412",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1412",
      "to_node": "node_1413",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.453)",
      "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_1413",
      "to_node": "node_1414",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.256)",
      "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_1414",
      "to_node": "node_1415",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1416",
      "to_node": "node_1417",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1417",
      "to_node": "node_1418",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1418",
      "to_node": "node_1419",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1419",
      "to_node": "node_1420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004046)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1420",
      "to_node": "node_1421",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004582)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1421",
      "to_node": "node_1422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1422",
      "to_node": "node_1423",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1423",
      "to_node": "node_1424",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1425",
      "to_node": "node_1426",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1426",
      "to_node": "node_1427",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1427",
      "to_node": "node_1428",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1428",
      "to_node": "node_1429",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1430",
      "to_node": "node_1431",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003732)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_1431",
      "to_node": "node_1432",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1432",
      "to_node": "node_1433",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1433",
      "to_node": "node_1434",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1434",
      "to_node": "node_1435",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1435",
      "to_node": "node_1436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1436",
      "to_node": "node_1437",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1438",
      "to_node": "node_1439",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003618)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1439",
      "to_node": "node_1440",
      "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,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1440",
      "to_node": "node_1441",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1441",
      "to_node": "node_1442",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1442",
      "to_node": "node_1443",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1443",
      "to_node": "node_1444",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1444",
      "to_node": "node_1445",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1446",
      "to_node": "node_1447",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1447",
      "to_node": "node_1448",
      "edge_type": "modification",
      "reasoning": "Increase 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_1448",
      "to_node": "node_1449",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1449",
      "to_node": "node_1450",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1450",
      "to_node": "node_1451",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.302)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1451",
      "to_node": "node_1452",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1452",
      "to_node": "node_1453",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.531)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1453",
      "to_node": "node_1454",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1455",
      "to_node": "node_1456",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1456",
      "to_node": "node_1457",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1457",
      "to_node": "node_1458",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1458",
      "to_node": "node_1459",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1460",
      "to_node": "node_1461",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1461",
      "to_node": "node_1462",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.314)",
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      "to_node": "node_1464",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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      "to_node": "node_1465",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1467",
      "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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      "to_node": "node_1468",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1468",
      "to_node": "node_1469",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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    {
      "from_node": "node_1469",
      "to_node": "node_1470",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1470",
      "to_node": "node_1471",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1472",
      "to_node": "node_1473",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1473",
      "to_node": "node_1474",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1474",
      "to_node": "node_1475",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.471)",
      "action_type": null,
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    {
      "from_node": "node_1475",
      "to_node": "node_1476",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
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    {
      "from_node": "node_1476",
      "to_node": "node_1477",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004727)",
      "action_type": null,
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    {
      "from_node": "node_1477",
      "to_node": "node_1478",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_1478",
      "to_node": "node_1479",
      "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_1481",
      "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_1481",
      "to_node": "node_1482",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.639)",
      "action_type": null,
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    {
      "from_node": "node_1482",
      "to_node": "node_1483",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004460)",
      "action_type": null,
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    {
      "from_node": "node_1483",
      "to_node": "node_1484",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.346)",
      "action_type": null,
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    {
      "from_node": "node_1484",
      "to_node": "node_1485",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1485",
      "to_node": "node_1486",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1487",
      "to_node": "node_1488",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003165)",
      "action_type": null,
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    {
      "from_node": "node_1488",
      "to_node": "node_1489",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
      "action_type": null,
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    {
      "from_node": "node_1489",
      "to_node": "node_1490",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
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    {
      "from_node": "node_1490",
      "to_node": "node_1491",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004921)",
      "action_type": null,
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    {
      "from_node": "node_1491",
      "to_node": "node_1492",
      "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_1492",
      "to_node": "node_1493",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.312)",
      "action_type": null,
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    {
      "from_node": "node_1493",
      "to_node": "node_1494",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1495",
      "to_node": "node_1496",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
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    {
      "from_node": "node_1496",
      "to_node": "node_1497",
      "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_1497",
      "to_node": "node_1498",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
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    {
      "from_node": "node_1498",
      "to_node": "node_1499",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
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    {
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      "to_node": "node_1500",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.379)",
      "action_type": null,
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    {
      "from_node": "node_1500",
      "to_node": "node_1501",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1502",
      "to_node": "node_1503",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004845)",
      "action_type": null,
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    },
    {
      "from_node": "node_1503",
      "to_node": "node_1504",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004850)",
      "action_type": null,
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    {
      "from_node": "node_1504",
      "to_node": "node_1505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006144)",
      "action_type": null,
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    {
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      "to_node": "node_1506",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.397)",
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    {
      "from_node": "node_1506",
      "to_node": "node_1507",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
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    {
      "from_node": "node_1507",
      "to_node": "node_1508",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1509",
      "to_node": "node_1510",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004374)",
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    {
      "from_node": "node_1510",
      "to_node": "node_1511",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1511",
      "to_node": "node_1512",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1512",
      "to_node": "node_1513",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1514",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1514",
      "to_node": "node_1515",
      "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_1517",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.462)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1517",
      "to_node": "node_1518",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.238)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1518",
      "to_node": "node_1519",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1519",
      "to_node": "node_1520",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1520",
      "to_node": "node_1521",
      "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_1521",
      "to_node": "node_1522",
      "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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      "to_node": "node_1523",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
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    {
      "from_node": "node_1523",
      "to_node": "node_1524",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1526",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1526",
      "to_node": "node_1527",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003499)",
      "action_type": null,
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      "to_node": "node_1528",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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      "from_node": "node_1528",
      "to_node": "node_1529",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.534)",
      "action_type": null,
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    {
      "from_node": "node_1529",
      "to_node": "node_1530",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_1530",
      "to_node": "node_1531",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_1531",
      "to_node": "node_1532",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1533",
      "to_node": "node_1534",
      "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_1534",
      "to_node": "node_1535",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1535",
      "to_node": "node_1536",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
      "action_type": null,
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    {
      "from_node": "node_1536",
      "to_node": "node_1537",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005814)",
      "action_type": null,
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    {
      "from_node": "node_1537",
      "to_node": "node_1538",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.250)",
      "action_type": null,
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    {
      "from_node": "node_1538",
      "to_node": "node_1539",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.517)",
      "action_type": null,
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    {
      "from_node": "node_1539",
      "to_node": "node_1540",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1540",
      "to_node": "node_1541",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1542",
      "to_node": "node_1543",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1543",
      "to_node": "node_1544",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1544",
      "to_node": "node_1545",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.447)",
      "action_type": null,
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    {
      "from_node": "node_1545",
      "to_node": "node_1546",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1547",
      "to_node": "node_1548",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004168)",
      "action_type": null,
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    },
    {
      "from_node": "node_1548",
      "to_node": "node_1549",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003674)",
      "action_type": null,
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    {
      "from_node": "node_1549",
      "to_node": "node_1550",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003718)",
      "action_type": null,
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    {
      "from_node": "node_1550",
      "to_node": "node_1551",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1551",
      "to_node": "node_1552",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
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    {
      "from_node": "node_1552",
      "to_node": "node_1553",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.387)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1553",
      "to_node": "node_1554",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_1554",
      "to_node": "node_1555",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1556",
      "to_node": "node_1557",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.379)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1557",
      "to_node": "node_1558",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.198)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1558",
      "to_node": "node_1559",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1559",
      "to_node": "node_1560",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1560",
      "to_node": "node_1561",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1562",
      "to_node": "node_1563",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1563",
      "to_node": "node_1564",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1564",
      "to_node": "node_1565",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1565",
      "to_node": "node_1566",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1566",
      "to_node": "node_1567",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1567",
      "to_node": "node_1568",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1568",
      "to_node": "node_1569",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1569",
      "to_node": "node_1570",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1571",
      "to_node": "node_1572",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.368)",
      "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_1572",
      "to_node": "node_1573",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1573",
      "to_node": "node_1574",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1574",
      "to_node": "node_1575",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003749)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1575",
      "to_node": "node_1576",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1576",
      "to_node": "node_1577",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
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    {
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      "to_node": "node_1578",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1578",
      "to_node": "node_1579",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1580",
      "to_node": "node_1581",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1582",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.623)",
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      "to_node": "node_1583",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003206)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1583",
      "to_node": "node_1584",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1584",
      "to_node": "node_1585",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1585",
      "to_node": "node_1586",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006620)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1586",
      "to_node": "node_1587",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1587",
      "to_node": "node_1588",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1589",
      "to_node": "node_1590",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1590",
      "to_node": "node_1591",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1591",
      "to_node": "node_1592",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005818)",
      "action_type": null,
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    {
      "from_node": "node_1592",
      "to_node": "node_1593",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
      "action_type": null,
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    {
      "from_node": "node_1593",
      "to_node": "node_1594",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
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    },
    {
      "from_node": "node_1594",
      "to_node": "node_1595",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
      "from_node": "node_1595",
      "to_node": "node_1596",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_1596",
      "to_node": "node_1597",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1598",
      "to_node": "node_1599",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003687)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1599",
      "to_node": "node_1600",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003290)",
      "action_type": null,
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    },
    {
      "from_node": "node_1600",
      "to_node": "node_1601",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001558)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1601",
      "to_node": "node_1602",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004078)",
      "action_type": null,
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    {
      "from_node": "node_1602",
      "to_node": "node_1603",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.325)",
      "action_type": null,
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    {
      "from_node": "node_1603",
      "to_node": "node_1604",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.385)",
      "action_type": null,
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    {
      "from_node": "node_1604",
      "to_node": "node_1605",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_1605",
      "to_node": "node_1606",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1607",
      "to_node": "node_1608",
      "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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      "scale_factor": null
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    {
      "from_node": "node_1608",
      "to_node": "node_1609",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)",
      "action_type": null,
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    },
    {
      "from_node": "node_1609",
      "to_node": "node_1610",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1610",
      "to_node": "node_1611",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003981)",
      "action_type": null,
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    },
    {
      "from_node": "node_1611",
      "to_node": "node_1612",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1612",
      "to_node": "node_1613",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.466)",
      "action_type": null,
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    {
      "from_node": "node_1613",
      "to_node": "node_1614",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1615",
      "to_node": "node_1616",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1616",
      "to_node": "node_1617",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1617",
      "to_node": "node_1618",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1618",
      "to_node": "node_1619",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1619",
      "to_node": "node_1620",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    },
    {
      "from_node": "node_1620",
      "to_node": "node_1621",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1621",
      "to_node": "node_1622",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.346)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1622",
      "to_node": "node_1623",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1624",
      "to_node": "node_1625",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1625",
      "to_node": "node_1626",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1626",
      "to_node": "node_1627",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1627",
      "to_node": "node_1628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004325)",
      "action_type": null,
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    },
    {
      "from_node": "node_1628",
      "to_node": "node_1629",
      "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_1629",
      "to_node": "node_1630",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1630",
      "to_node": "node_1631",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
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      "to_node": "node_1632",
      "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_1634",
      "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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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1634",
      "to_node": "node_1635",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004224)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1635",
      "to_node": "node_1636",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005363)",
      "action_type": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1637",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1637",
      "to_node": "node_1638",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1639",
      "to_node": "node_1640",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.443)",
      "action_type": null,
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      "parameter_name": null,
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    {
      "from_node": "node_1640",
      "to_node": "node_1641",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004802)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1641",
      "to_node": "node_1642",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1642",
      "to_node": "node_1643",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1643",
      "to_node": "node_1644",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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_1645",
      "to_node": "node_1646",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1646",
      "to_node": "node_1647",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.495)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1647",
      "to_node": "node_1648",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.427)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1648",
      "to_node": "node_1649",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1650",
      "to_node": "node_1651",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001715)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1651",
      "to_node": "node_1652",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1652",
      "to_node": "node_1653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1653",
      "to_node": "node_1654",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002852)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1654",
      "to_node": "node_1655",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1655",
      "to_node": "node_1656",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1656",
      "to_node": "node_1657",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1657",
      "to_node": "node_1658",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1659",
      "to_node": "node_1660",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006830)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1660",
      "to_node": "node_1661",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1661",
      "to_node": "node_1662",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.477)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1662",
      "to_node": "node_1663",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.653)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1663",
      "to_node": "node_1664",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1664",
      "to_node": "node_1665",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1665",
      "to_node": "node_1666",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1667",
      "to_node": "node_1668",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005140)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1668",
      "to_node": "node_1669",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1669",
      "to_node": "node_1670",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1670",
      "to_node": "node_1671",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004154)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1671",
      "to_node": "node_1672",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1672",
      "to_node": "node_1673",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1673",
      "to_node": "node_1674",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_1675",
      "to_node": "node_1676",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1676",
      "to_node": "node_1677",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1677",
      "to_node": "node_1678",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1678",
      "to_node": "node_1679",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1679",
      "to_node": "node_1680",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1680",
      "to_node": "node_1681",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_1682",
      "to_node": "node_1683",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.462)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1683",
      "to_node": "node_1684",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_1684",
      "to_node": "node_1685",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1685",
      "to_node": "node_1686",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1686",
      "to_node": "node_1687",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1688",
      "to_node": "node_1689",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1689",
      "to_node": "node_1690",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003765)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1690",
      "to_node": "node_1691",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1691",
      "to_node": "node_1692",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "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_1692",
      "to_node": "node_1693",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
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      "to_node": "node_1695",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1695",
      "to_node": "node_1696",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003334)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_1697",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1697",
      "to_node": "node_1698",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1698",
      "to_node": "node_1699",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1700",
      "to_node": "node_1701",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, 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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    {
      "from_node": "node_1701",
      "to_node": "node_1702",
      "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_1702",
      "to_node": "node_1703",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1703",
      "to_node": "node_1704",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1705",
      "to_node": "node_1706",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1706",
      "to_node": "node_1707",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.534)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1707",
      "to_node": "node_1708",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1708",
      "to_node": "node_1709",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1710",
      "to_node": "node_1711",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1711",
      "to_node": "node_1712",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1712",
      "to_node": "node_1713",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1713",
      "to_node": "node_1714",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1714",
      "to_node": "node_1715",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1715",
      "to_node": "node_1716",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1717",
      "to_node": "node_1718",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1718",
      "to_node": "node_1719",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1719",
      "to_node": "node_1720",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003162)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1720",
      "to_node": "node_1721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004792)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1721",
      "to_node": "node_1722",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003967)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1722",
      "to_node": "node_1723",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1723",
      "to_node": "node_1724",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.316)",
      "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_1724",
      "to_node": "node_1725",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1726",
      "to_node": "node_1727",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1727",
      "to_node": "node_1728",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1728",
      "to_node": "node_1729",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1729",
      "to_node": "node_1730",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1730",
      "to_node": "node_1731",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1731",
      "to_node": "node_1732",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1732",
      "to_node": "node_1733",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1734",
      "to_node": "node_1735",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1735",
      "to_node": "node_1736",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1736",
      "to_node": "node_1737",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1737",
      "to_node": "node_1738",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.340)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1738",
      "to_node": "node_1739",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1740",
      "to_node": "node_1741",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003525)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1741",
      "to_node": "node_1742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005278)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1742",
      "to_node": "node_1743",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1743",
      "to_node": "node_1744",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1744",
      "to_node": "node_1745",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1746",
      "to_node": "node_1747",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002685)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1747",
      "to_node": "node_1748",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1748",
      "to_node": "node_1749",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003010)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1749",
      "to_node": "node_1750",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1750",
      "to_node": "node_1751",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1751",
      "to_node": "node_1752",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1753",
      "to_node": "node_1754",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1754",
      "to_node": "node_1755",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1755",
      "to_node": "node_1756",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1756",
      "to_node": "node_1757",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1757",
      "to_node": "node_1758",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1758",
      "to_node": "node_1759",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1761",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.355)",
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      "to_node": "node_1762",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.302)",
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      "from_node": "node_1762",
      "to_node": "node_1763",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004024)",
      "action_type": null,
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    {
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      "to_node": "node_1764",
      "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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    {
      "from_node": "node_1764",
      "to_node": "node_1765",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1765",
      "to_node": "node_1766",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
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    {
      "from_node": "node_1766",
      "to_node": "node_1767",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_1767",
      "to_node": "node_1768",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1769",
      "to_node": "node_1770",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
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    {
      "from_node": "node_1770",
      "to_node": "node_1771",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
      "from_node": "node_1771",
      "to_node": "node_1772",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_1772",
      "to_node": "node_1773",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_1773",
      "to_node": "node_1774",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1776",
      "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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      "to_node": "node_1777",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.294)",
      "action_type": null,
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    {
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      "to_node": "node_1778",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
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    {
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      "to_node": "node_1779",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003228)",
      "action_type": null,
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    {
      "from_node": "node_1779",
      "to_node": "node_1780",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003662)",
      "action_type": null,
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    {
      "from_node": "node_1780",
      "to_node": "node_1781",
      "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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    {
      "from_node": "node_1781",
      "to_node": "node_1782",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1783",
      "to_node": "node_1784",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
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    {
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      "to_node": "node_1785",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.613)",
      "action_type": null,
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    {
      "from_node": "node_1785",
      "to_node": "node_1786",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.183)",
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    {
      "from_node": "node_1786",
      "to_node": "node_1787",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.340)",
      "action_type": null,
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    {
      "from_node": "node_1787",
      "to_node": "node_1788",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.570)",
      "action_type": null,
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    {
      "from_node": "node_1788",
      "to_node": "node_1789",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1790",
      "to_node": "node_1791",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001612)",
      "action_type": null,
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    {
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      "to_node": "node_1792",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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    {
      "from_node": "node_1792",
      "to_node": "node_1793",
      "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_1793",
      "to_node": "node_1794",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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    {
      "from_node": "node_1794",
      "to_node": "node_1795",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_1795",
      "to_node": "node_1796",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1797",
      "to_node": "node_1798",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003477)",
      "action_type": null,
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    {
      "from_node": "node_1798",
      "to_node": "node_1799",
      "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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    {
      "from_node": "node_1799",
      "to_node": "node_1800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
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    {
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      "to_node": "node_1801",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1803",
      "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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    {
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      "to_node": "node_1804",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_1804",
      "to_node": "node_1805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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      "to_node": "node_1806",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.582)",
      "action_type": null,
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    {
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      "to_node": "node_1807",
      "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_1809",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1809",
      "to_node": "node_1810",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
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      "to_node": "node_1811",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.425)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1811",
      "to_node": "node_1812",
      "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_1814",
      "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_1815",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.435)",
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      "to_node": "node_1816",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.178)",
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    {
      "from_node": "node_1816",
      "to_node": "node_1817",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1817",
      "to_node": "node_1818",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1818",
      "to_node": "node_1819",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003592)",
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      "to_node": "node_1821",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1824",
      "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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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.499)",
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      "to_node": "node_1826",
      "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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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.391)",
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      "to_node": "node_1828",
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      "metadata": null,
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      "from_node": "node_1828",
      "to_node": "node_1829",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.264)",
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    {
      "from_node": "node_1831",
      "to_node": "node_1832",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004257)",
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      "to_node": "node_1833",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.326)",
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    {
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      "to_node": "node_1834",
      "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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    {
      "from_node": "node_1834",
      "to_node": "node_1835",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 19%",
      "metadata": null,
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      "reasoning": "Increase 3 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.393)",
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    {
      "from_node": "node_1838",
      "to_node": "node_1839",
      "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_1839",
      "to_node": "node_1840",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004261)",
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    {
      "from_node": "node_1840",
      "to_node": "node_1841",
      "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_1841",
      "to_node": "node_1842",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.206)",
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    {
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      "to_node": "node_1845",
      "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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      "to_node": "node_1846",
      "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_1847",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
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    {
      "from_node": "node_1847",
      "to_node": "node_1848",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1850",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.368)",
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      "to_node": "node_1851",
      "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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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.333)",
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    {
      "from_node": "node_1852",
      "to_node": "node_1853",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004150)",
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      "to_node": "node_1854",
      "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_1855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1857",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.517)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.527)",
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    {
      "from_node": "node_1858",
      "to_node": "node_1859",
      "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_1859",
      "to_node": "node_1860",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1862",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
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      "to_node": "node_1863",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.425)",
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    {
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      "to_node": "node_1864",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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    {
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      "to_node": "node_1865",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.377)",
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    {
      "from_node": "node_1865",
      "to_node": "node_1866",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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    {
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      "to_node": "node_1867",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1868",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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    {
      "from_node": "node_1868",
      "to_node": "node_1869",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1871",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.582)",
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    {
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      "to_node": "node_1872",
      "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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      "to_node": "node_1873",
      "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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      "scale_factor": null
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    {
      "from_node": "node_1873",
      "to_node": "node_1874",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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    {
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      "to_node": "node_1875",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1877",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 53%",
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      "to_node": "node_1878",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
      "metadata": null,
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      "to_node": "node_1879",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "to_node": "node_1880",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.376)",
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      "scale_factor": null
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    {
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      "to_node": "node_1881",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1881",
      "to_node": "node_1882",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1882",
      "to_node": "node_1883",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1884",
      "to_node": "node_1885",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1885",
      "to_node": "node_1886",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1886",
      "to_node": "node_1887",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1887",
      "to_node": "node_1888",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1888",
      "to_node": "node_1889",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1890",
      "to_node": "node_1891",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1891",
      "to_node": "node_1892",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1892",
      "to_node": "node_1893",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1893",
      "to_node": "node_1894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1894",
      "to_node": "node_1895",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1896",
      "to_node": "node_1897",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1897",
      "to_node": "node_1898",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1898",
      "to_node": "node_1899",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.003554)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1899",
      "to_node": "node_1900",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1900",
      "to_node": "node_1901",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1901",
      "to_node": "node_1902",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001958)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1902",
      "to_node": "node_1903",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1903",
      "to_node": "node_1904",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1905",
      "to_node": "node_1906",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1906",
      "to_node": "node_1907",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003866)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1907",
      "to_node": "node_1908",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1908",
      "to_node": "node_1909",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005834)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1909",
      "to_node": "node_1910",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1910",
      "to_node": "node_1911",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1912",
      "to_node": "node_1913",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1913",
      "to_node": "node_1914",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002721)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1914",
      "to_node": "node_1915",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1915",
      "to_node": "node_1916",
      "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_1916",
      "to_node": "node_1917",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1918",
      "to_node": "node_1919",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1919",
      "to_node": "node_1920",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001789)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1920",
      "to_node": "node_1921",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1921",
      "to_node": "node_1922",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1923",
      "to_node": "node_1924",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1924",
      "to_node": "node_1925",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003344)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1925",
      "to_node": "node_1926",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003794)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1926",
      "to_node": "node_1927",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1927",
      "to_node": "node_1928",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003639)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1928",
      "to_node": "node_1929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1929",
      "to_node": "node_1930",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1930",
      "to_node": "node_1931",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1932",
      "to_node": "node_1933",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1933",
      "to_node": "node_1934",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1934",
      "to_node": "node_1935",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1935",
      "to_node": "node_1936",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1936",
      "to_node": "node_1937",
      "edge_type": "modification",
      "reasoning": "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_1937",
      "to_node": "node_1938",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1939",
      "to_node": "node_1940",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1940",
      "to_node": "node_1941",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005310)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1941",
      "to_node": "node_1942",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003421)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1942",
      "to_node": "node_1943",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005184)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1943",
      "to_node": "node_1944",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1944",
      "to_node": "node_1945",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1945",
      "to_node": "node_1946",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1946",
      "to_node": "node_1947",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1948",
      "to_node": "node_1949",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1949",
      "to_node": "node_1950",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1950",
      "to_node": "node_1951",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1951",
      "to_node": "node_1952",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1952",
      "to_node": "node_1953",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1953",
      "to_node": "node_1954",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1954",
      "to_node": "node_1955",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1955",
      "to_node": "node_1956",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1958",
      "to_node": "node_1959",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001466)",
      "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 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.527)",
      "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": "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_1961",
      "to_node": "node_1962",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1962",
      "to_node": "node_1963",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1963",
      "to_node": "node_1964",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1966",
      "to_node": "node_1967",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1967",
      "to_node": "node_1968",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1968",
      "to_node": "node_1969",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.325)",
      "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 1 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1970",
      "to_node": "node_1971",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1971",
      "to_node": "node_1972",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1973",
      "to_node": "node_1974",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003901)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1974",
      "to_node": "node_1975",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1975",
      "to_node": "node_1976",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1976",
      "to_node": "node_1977",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "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 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1980",
      "to_node": "node_1981",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.453)",
      "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 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "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": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "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": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "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 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1987",
      "to_node": "node_1988",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.590)",
      "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 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1989",
      "to_node": "node_1990",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.647)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1990",
      "to_node": "node_1991",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1992",
      "to_node": "node_1993",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1993",
      "to_node": "node_1994",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.642)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1994",
      "to_node": "node_1995",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1995",
      "to_node": "node_1996",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.225)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Increase 14 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1999",
      "to_node": "node_2000",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2000",
      "to_node": "node_2001",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_2001",
      "to_node": "node_2002",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2002",
      "to_node": "node_2003",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2004",
      "to_node": "node_2005",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2005",
      "to_node": "node_2006",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003756)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
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    },
    {
      "from_node": "node_2006",
      "to_node": "node_2007",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2007",
      "to_node": "node_2008",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2009",
      "to_node": "node_2010",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2010",
      "to_node": "node_2011",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001486)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2011",
      "to_node": "node_2012",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2012",
      "to_node": "node_2013",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004465)",
      "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 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2014",
      "to_node": "node_2015",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2015",
      "to_node": "node_2016",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_2016",
      "to_node": "node_2017",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2018",
      "to_node": "node_2019",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2019",
      "to_node": "node_2020",
      "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_2020",
      "to_node": "node_2021",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004005)",
      "action_type": null,
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    },
    {
      "from_node": "node_2021",
      "to_node": "node_2022",
      "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_2022",
      "to_node": "node_2023",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_2023",
      "to_node": "node_2024",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2025",
      "to_node": "node_2026",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003887)",
      "action_type": null,
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    {
      "from_node": "node_2026",
      "to_node": "node_2027",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.229)",
      "action_type": null,
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    {
      "from_node": "node_2027",
      "to_node": "node_2028",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
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    {
      "from_node": "node_2028",
      "to_node": "node_2029",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001668)",
      "action_type": null,
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    {
      "from_node": "node_2029",
      "to_node": "node_2030",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
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    {
      "from_node": "node_2030",
      "to_node": "node_2031",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.224)",
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    {
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      "to_node": "node_2032",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2033",
      "to_node": "node_2034",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004285)",
      "action_type": null,
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    {
      "from_node": "node_2034",
      "to_node": "node_2035",
      "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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    {
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      "to_node": "node_2036",
      "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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    {
      "from_node": "node_2036",
      "to_node": "node_2037",
      "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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    {
      "from_node": "node_2037",
      "to_node": "node_2038",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
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      "to_node": "node_2039",
      "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_2041",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004532)",
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    {
      "from_node": "node_2041",
      "to_node": "node_2042",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005643)",
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    {
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      "to_node": "node_2043",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.391)",
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    {
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      "to_node": "node_2044",
      "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_2045",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2047",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.323)",
      "action_type": null,
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    {
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      "to_node": "node_2048",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.215)",
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    },
    {
      "from_node": "node_2048",
      "to_node": "node_2049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
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      "to_node": "node_2050",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2051",
      "to_node": "node_2052",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
      "action_type": null,
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    {
      "from_node": "node_2052",
      "to_node": "node_2053",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.266)",
      "action_type": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2054",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
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    {
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      "to_node": "node_2055",
      "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_2057",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.247)",
      "action_type": null,
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    {
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      "to_node": "node_2058",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
      "action_type": null,
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    {
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      "to_node": "node_2059",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.263)",
      "action_type": null,
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    {
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      "to_node": "node_2060",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    },
    {
      "from_node": "node_2060",
      "to_node": "node_2061",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2062",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "to_node": "node_2066",
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      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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      "to_node": "node_2067",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.572)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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      "to_node": "node_2069",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 39%",
      "metadata": null,
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      "to_node": "node_2072",
      "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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      "from_node": "node_2072",
      "to_node": "node_2073",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005171)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.379)",
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    {
      "from_node": "node_2074",
      "to_node": "node_2075",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.253)",
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    {
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      "to_node": "node_2078",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004870)",
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      "to_node": "node_2079",
      "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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    {
      "from_node": "node_2079",
      "to_node": "node_2080",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.550)",
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    {
      "from_node": "node_2080",
      "to_node": "node_2081",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2084",
      "to_node": "node_2085",
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      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
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      "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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      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.230)",
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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 1 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.590)",
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    {
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      "to_node": "node_2090",
      "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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      "to_node": "node_2091",
      "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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    {
      "from_node": "node_2091",
      "to_node": "node_2092",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2093",
      "to_node": "node_2094",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004886)",
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    {
      "from_node": "node_2094",
      "to_node": "node_2095",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.412)",
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    {
      "from_node": "node_2095",
      "to_node": "node_2096",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
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    {
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      "to_node": "node_2097",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.339)",
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      "to_node": "node_2098",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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    {
      "from_node": "node_2098",
      "to_node": "node_2099",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
      "from_node": "node_2099",
      "to_node": "node_2100",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2101",
      "to_node": "node_2102",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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    {
      "from_node": "node_2102",
      "to_node": "node_2103",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003996)",
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    {
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      "to_node": "node_2104",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.196)",
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    {
      "from_node": "node_2104",
      "to_node": "node_2105",
      "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_2106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005928)",
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    {
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      "to_node": "node_2107",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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    {
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      "to_node": "node_2108",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2110",
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      "reasoning": "Increase 11 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.247)",
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    {
      "from_node": "node_2110",
      "to_node": "node_2111",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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      "to_node": "node_2112",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.397)",
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    {
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      "to_node": "node_2113",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2115",
      "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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      "to_node": "node_2116",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.348)",
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      "to_node": "node_2117",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
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      "to_node": "node_2118",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.178)",
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    {
      "from_node": "node_2118",
      "to_node": "node_2119",
      "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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      "to_node": "node_2120",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.595)",
      "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_2120",
      "to_node": "node_2121",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2122",
      "to_node": "node_2123",
      "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_2123",
      "to_node": "node_2124",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005492)",
      "action_type": null,
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    {
      "from_node": "node_2124",
      "to_node": "node_2125",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004781)",
      "action_type": null,
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      "from_node": "node_2125",
      "to_node": "node_2126",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2126",
      "to_node": "node_2127",
      "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_2129",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
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    {
      "from_node": "node_2129",
      "to_node": "node_2130",
      "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,
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    {
      "from_node": "node_2130",
      "to_node": "node_2131",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    },
    {
      "from_node": "node_2131",
      "to_node": "node_2132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005259)",
      "action_type": null,
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    {
      "from_node": "node_2132",
      "to_node": "node_2133",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_2133",
      "to_node": "node_2134",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_2134",
      "to_node": "node_2135",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2136",
      "to_node": "node_2137",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2137",
      "to_node": "node_2138",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_2138",
      "to_node": "node_2139",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_2139",
      "to_node": "node_2140",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2141",
      "to_node": "node_2142",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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    {
      "from_node": "node_2142",
      "to_node": "node_2143",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.245)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2143",
      "to_node": "node_2144",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2144",
      "to_node": "node_2145",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_2145",
      "to_node": "node_2146",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    },
    {
      "from_node": "node_2146",
      "to_node": "node_2147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    },
    {
      "from_node": "node_2147",
      "to_node": "node_2148",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2149",
      "to_node": "node_2150",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.362)",
      "action_type": null,
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    {
      "from_node": "node_2150",
      "to_node": "node_2151",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.605)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2151",
      "to_node": "node_2152",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2152",
      "to_node": "node_2153",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2154",
      "to_node": "node_2155",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2155",
      "to_node": "node_2156",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.271)",
      "action_type": null,
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    {
      "from_node": "node_2156",
      "to_node": "node_2157",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2157",
      "to_node": "node_2158",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2158",
      "to_node": "node_2159",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2160",
      "to_node": "node_2161",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2161",
      "to_node": "node_2162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005303)",
      "action_type": null,
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    },
    {
      "from_node": "node_2162",
      "to_node": "node_2163",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2163",
      "to_node": "node_2164",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2164",
      "to_node": "node_2165",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2165",
      "to_node": "node_2166",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2166",
      "to_node": "node_2167",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2168",
      "to_node": "node_2169",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2169",
      "to_node": "node_2170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    },
    {
      "from_node": "node_2170",
      "to_node": "node_2171",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2171",
      "to_node": "node_2172",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2173",
      "to_node": "node_2174",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2174",
      "to_node": "node_2175",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004719)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2175",
      "to_node": "node_2176",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2177",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2177",
      "to_node": "node_2178",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2178",
      "to_node": "node_2179",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2180",
      "to_node": "node_2181",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002640)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2182",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
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      "to_node": "node_2183",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.307)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004469)",
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      "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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      "to_node": "node_2189",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.348)",
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      "to_node": "node_2191",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
      "from_node": "node_2191",
      "to_node": "node_2192",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2194",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.351)",
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    {
      "from_node": "node_2194",
      "to_node": "node_2195",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004125)",
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      "from_node": "node_2195",
      "to_node": "node_2196",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004658)",
      "action_type": null,
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    {
      "from_node": "node_2196",
      "to_node": "node_2197",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.658)",
      "action_type": null,
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      "from_node": "node_2197",
      "to_node": "node_2198",
      "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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    {
      "from_node": "node_2198",
      "to_node": "node_2199",
      "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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    {
      "from_node": "node_2199",
      "to_node": "node_2200",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2201",
      "to_node": "node_2202",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002443)",
      "action_type": null,
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    {
      "from_node": "node_2202",
      "to_node": "node_2203",
      "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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    {
      "from_node": "node_2203",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.179)",
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    {
      "from_node": "node_2204",
      "to_node": "node_2205",
      "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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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2207",
      "to_node": "node_2208",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003853)",
      "action_type": null,
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    {
      "from_node": "node_2208",
      "to_node": "node_2209",
      "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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    {
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      "to_node": "node_2210",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
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    {
      "from_node": "node_2210",
      "to_node": "node_2211",
      "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_2213",
      "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_2213",
      "to_node": "node_2214",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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    {
      "from_node": "node_2214",
      "to_node": "node_2215",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.376)",
      "action_type": null,
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    {
      "from_node": "node_2215",
      "to_node": "node_2216",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
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    {
      "from_node": "node_2216",
      "to_node": "node_2217",
      "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_2219",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.255)",
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    {
      "from_node": "node_2219",
      "to_node": "node_2220",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)",
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    {
      "from_node": "node_2220",
      "to_node": "node_2221",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)",
      "action_type": null,
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    {
      "from_node": "node_2221",
      "to_node": "node_2222",
      "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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    {
      "from_node": "node_2222",
      "to_node": "node_2223",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.587)",
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    {
      "from_node": "node_2223",
      "to_node": "node_2224",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
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    {
      "from_node": "node_2224",
      "to_node": "node_2225",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2226",
      "to_node": "node_2227",
      "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_2227",
      "to_node": "node_2228",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005461)",
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    {
      "from_node": "node_2228",
      "to_node": "node_2229",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.318)",
      "action_type": null,
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    {
      "from_node": "node_2229",
      "to_node": "node_2230",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004300)",
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    {
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      "to_node": "node_2231",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
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    {
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      "to_node": "node_2232",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.342)",
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    {
      "from_node": "node_2232",
      "to_node": "node_2233",
      "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_2235",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.276)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2236",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2237",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
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      "to_node": "node_2238",
      "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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    {
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      "to_node": "node_2239",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.481)",
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    {
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      "to_node": "node_2240",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2241",
      "to_node": "node_2242",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002675)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2242",
      "to_node": "node_2243",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004379)",
      "action_type": null,
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      "reasoning": "Increase all_members thickness by 29%",
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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_2246",
      "to_node": "node_2247",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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    {
      "from_node": "node_2247",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2250",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 47%",
      "metadata": null,
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      "from_node": "node_2250",
      "to_node": "node_2251",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
      "from_node": "node_2251",
      "to_node": "node_2252",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
      "from_node": "node_2254",
      "to_node": "node_2255",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005947)",
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      "from_node": "node_2255",
      "to_node": "node_2256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005265)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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    {
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 19%",
      "metadata": null,
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      "to_node": "node_2261",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.244)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 36%",
      "metadata": null,
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    {
      "from_node": "node_2262",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004020)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.543)",
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    {
      "from_node": "node_2264",
      "to_node": "node_2265",
      "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_2265",
      "to_node": "node_2266",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
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    {
      "from_node": "node_2266",
      "to_node": "node_2267",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2268",
      "to_node": "node_2269",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.002937)",
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    {
      "from_node": "node_2269",
      "to_node": "node_2270",
      "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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    {
      "from_node": "node_2270",
      "to_node": "node_2271",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
      "action_type": null,
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    {
      "from_node": "node_2271",
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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_2273",
      "to_node": "node_2274",
      "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_2274",
      "to_node": "node_2275",
      "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_2275",
      "to_node": "node_2276",
      "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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    {
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      "edge_type": "modification",
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    {
      "from_node": "node_2278",
      "to_node": "node_2279",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003171)",
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    {
      "from_node": "node_2279",
      "to_node": "node_2280",
      "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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      "to_node": "node_2281",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.477)",
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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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    {
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      "to_node": "node_2285",
      "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_2285",
      "to_node": "node_2286",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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    {
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      "to_node": "node_2287",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.661)",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.205)",
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    {
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      "to_node": "node_2289",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.176)",
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    {
      "from_node": "node_2289",
      "to_node": "node_2290",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2291",
      "to_node": "node_2292",
      "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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    {
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      "to_node": "node_2293",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.546)",
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    {
      "from_node": "node_2293",
      "to_node": "node_2294",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.189)",
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    {
      "from_node": "node_2294",
      "to_node": "node_2295",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.284)",
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      "old_value": null,
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    {
      "from_node": "node_2295",
      "to_node": "node_2296",
      "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_2296",
      "to_node": "node_2297",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
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    {
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      "to_node": "node_2298",
      "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_2298",
      "to_node": "node_2299",
      "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_2301",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.453)",
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      "scale_factor": null
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    {
      "from_node": "node_2301",
      "to_node": "node_2302",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2302",
      "to_node": "node_2303",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2303",
      "to_node": "node_2304",
      "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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      "reasoning": "Optimal solution",
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      "to_node": "node_2307",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.359)",
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    {
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      "to_node": "node_2308",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.221)",
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    {
      "from_node": "node_2308",
      "to_node": "node_2309",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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      "from_node": "node_2309",
      "to_node": "node_2310",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.621)",
      "action_type": null,
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    {
      "from_node": "node_2310",
      "to_node": "node_2311",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.445)",
      "action_type": null,
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    {
      "from_node": "node_2311",
      "to_node": "node_2312",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
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      "from_node": "node_2314",
      "to_node": "node_2315",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.217)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2315",
      "to_node": "node_2316",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    },
    {
      "from_node": "node_2316",
      "to_node": "node_2317",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2317",
      "to_node": "node_2318",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2319",
      "to_node": "node_2320",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.340)",
      "action_type": null,
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    {
      "from_node": "node_2320",
      "to_node": "node_2321",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003637)",
      "action_type": null,
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    {
      "from_node": "node_2321",
      "to_node": "node_2322",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.314)",
      "action_type": null,
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    {
      "from_node": "node_2322",
      "to_node": "node_2323",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
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    {
      "from_node": "node_2323",
      "to_node": "node_2324",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2325",
      "to_node": "node_2326",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.502)",
      "action_type": null,
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    {
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      "to_node": "node_2327",
      "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_2327",
      "to_node": "node_2328",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
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    {
      "from_node": "node_2328",
      "to_node": "node_2329",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_2329",
      "to_node": "node_2330",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2331",
      "to_node": "node_2332",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003070)",
      "action_type": null,
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    {
      "from_node": "node_2332",
      "to_node": "node_2333",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.267)",
      "action_type": null,
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    {
      "from_node": "node_2333",
      "to_node": "node_2334",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003537)",
      "action_type": null,
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    {
      "from_node": "node_2334",
      "to_node": "node_2335",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
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    {
      "from_node": "node_2335",
      "to_node": "node_2336",
      "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_2336",
      "to_node": "node_2337",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
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    {
      "from_node": "node_2337",
      "to_node": "node_2338",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2339",
      "to_node": "node_2340",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
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    {
      "from_node": "node_2340",
      "to_node": "node_2341",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2341",
      "to_node": "node_2342",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2342",
      "to_node": "node_2343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006363)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2343",
      "to_node": "node_2344",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
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    {
      "from_node": "node_2344",
      "to_node": "node_2345",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2346",
      "to_node": "node_2347",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001168)",
      "action_type": null,
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    {
      "from_node": "node_2347",
      "to_node": "node_2348",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
      "action_type": null,
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    {
      "from_node": "node_2348",
      "to_node": "node_2349",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
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    {
      "from_node": "node_2349",
      "to_node": "node_2350",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2351",
      "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_2353",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.600)",
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    {
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      "to_node": "node_2354",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2354",
      "to_node": "node_2355",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004606)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2355",
      "to_node": "node_2356",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004522)",
      "action_type": null,
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    {
      "from_node": "node_2356",
      "to_node": "node_2357",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.642)",
      "action_type": null,
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    {
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      "to_node": "node_2358",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
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      "scale_factor": null
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    {
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      "to_node": "node_2359",
      "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_2361",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
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    {
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      "to_node": "node_2362",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.511)",
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      "scale_factor": null
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    {
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      "to_node": "node_2363",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2363",
      "to_node": "node_2364",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002721)",
      "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_2365",
      "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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      "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_2366",
      "to_node": "node_2367",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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      "to_node": "node_2368",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2370",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.391)",
      "action_type": null,
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      "to_node": "node_2371",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.613)",
      "action_type": null,
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    {
      "from_node": "node_2371",
      "to_node": "node_2372",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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    {
      "from_node": "node_2372",
      "to_node": "node_2373",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2374",
      "to_node": "node_2375",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.429)",
      "action_type": null,
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    {
      "from_node": "node_2375",
      "to_node": "node_2376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)",
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    {
      "from_node": "node_2376",
      "to_node": "node_2377",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
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    {
      "from_node": "node_2377",
      "to_node": "node_2378",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.555)",
      "action_type": null,
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    {
      "from_node": "node_2378",
      "to_node": "node_2379",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.484)",
      "action_type": null,
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    {
      "from_node": "node_2379",
      "to_node": "node_2380",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_2380",
      "to_node": "node_2381",
      "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_2383",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_2383",
      "to_node": "node_2384",
      "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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    {
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      "to_node": "node_2385",
      "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_2385",
      "to_node": "node_2386",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.383)",
      "action_type": null,
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    {
      "from_node": "node_2386",
      "to_node": "node_2387",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
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    {
      "from_node": "node_2387",
      "to_node": "node_2388",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.473)",
      "action_type": null,
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    {
      "from_node": "node_2388",
      "to_node": "node_2389",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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    {
      "from_node": "node_2389",
      "to_node": "node_2390",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2391",
      "to_node": "node_2392",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
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    {
      "from_node": "node_2392",
      "to_node": "node_2393",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005350)",
      "action_type": null,
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    {
      "from_node": "node_2393",
      "to_node": "node_2394",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.245)",
      "action_type": null,
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    {
      "from_node": "node_2394",
      "to_node": "node_2395",
      "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_2395",
      "to_node": "node_2396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
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    {
      "from_node": "node_2396",
      "to_node": "node_2397",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2398",
      "to_node": "node_2399",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001050)",
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    {
      "from_node": "node_2399",
      "to_node": "node_2400",
      "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_2400",
      "to_node": "node_2401",
      "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_2401",
      "to_node": "node_2402",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
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    {
      "from_node": "node_2402",
      "to_node": "node_2403",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2404",
      "to_node": "node_2405",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001817)",
      "action_type": null,
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    {
      "from_node": "node_2405",
      "to_node": "node_2406",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003427)",
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    {
      "from_node": "node_2406",
      "to_node": "node_2407",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
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    {
      "from_node": "node_2407",
      "to_node": "node_2408",
      "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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    {
      "from_node": "node_2408",
      "to_node": "node_2409",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_2409",
      "to_node": "node_2410",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.239)",
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    {
      "from_node": "node_2410",
      "to_node": "node_2411",
      "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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    {
      "from_node": "node_2412",
      "to_node": "node_2413",
      "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_2413",
      "to_node": "node_2414",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004963)",
      "action_type": null,
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    {
      "from_node": "node_2414",
      "to_node": "node_2415",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.209)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2415",
      "to_node": "node_2416",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.304)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2416",
      "to_node": "node_2417",
      "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_2418",
      "to_node": "node_2419",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002888)",
      "action_type": null,
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    },
    {
      "from_node": "node_2419",
      "to_node": "node_2420",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2420",
      "to_node": "node_2421",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.307)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2421",
      "to_node": "node_2422",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2423",
      "to_node": "node_2424",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2424",
      "to_node": "node_2425",
      "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,
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      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_2426",
      "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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      "scale_factor": null
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      "to_node": "node_2427",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_2427",
      "to_node": "node_2428",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2428",
      "to_node": "node_2429",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2429",
      "to_node": "node_2430",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2430",
      "to_node": "node_2431",
      "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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    {
      "from_node": "node_2432",
      "to_node": "node_2433",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2433",
      "to_node": "node_2434",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003838)",
      "action_type": null,
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    },
    {
      "from_node": "node_2434",
      "to_node": "node_2435",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2435",
      "to_node": "node_2436",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2436",
      "to_node": "node_2437",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2437",
      "to_node": "node_2438",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2439",
      "to_node": "node_2440",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2440",
      "to_node": "node_2441",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2441",
      "to_node": "node_2442",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003246)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2442",
      "to_node": "node_2443",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.346)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2443",
      "to_node": "node_2444",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004861)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2444",
      "to_node": "node_2445",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2445",
      "to_node": "node_2446",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2446",
      "to_node": "node_2447",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2448",
      "to_node": "node_2449",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001270)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2449",
      "to_node": "node_2450",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.346)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2450",
      "to_node": "node_2451",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.603)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2451",
      "to_node": "node_2452",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2452",
      "to_node": "node_2453",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2453",
      "to_node": "node_2454",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2454",
      "to_node": "node_2455",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2456",
      "to_node": "node_2457",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2457",
      "to_node": "node_2458",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2458",
      "to_node": "node_2459",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2459",
      "to_node": "node_2460",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.294)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2460",
      "to_node": "node_2461",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002189)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2461",
      "to_node": "node_2462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003684)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2462",
      "to_node": "node_2463",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2463",
      "to_node": "node_2464",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2465",
      "to_node": "node_2466",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005177)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2466",
      "to_node": "node_2467",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004617)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2467",
      "to_node": "node_2468",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2468",
      "to_node": "node_2469",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2469",
      "to_node": "node_2470",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2471",
      "to_node": "node_2472",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2472",
      "to_node": "node_2473",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2473",
      "to_node": "node_2474",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2474",
      "to_node": "node_2475",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003207)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2475",
      "to_node": "node_2476",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2476",
      "to_node": "node_2477",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2477",
      "to_node": "node_2478",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2480",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2480",
      "to_node": "node_2481",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2481",
      "to_node": "node_2482",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.453)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2482",
      "to_node": "node_2483",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002216)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2483",
      "to_node": "node_2484",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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      "reasoning": "Add member connecting joints 5 and 6",
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      "reasoning": "Add member connecting joints 7 and 8",
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      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2489",
      "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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      "to_node": "node_2490",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003224)",
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      "to_node": "node_2491",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
      "action_type": null,
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      "to_node": "node_2492",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.488)",
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      "to_node": "node_2494",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 22%",
      "metadata": null,
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      "to_node": "node_2497",
      "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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      "to_node": "node_2498",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.222)",
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      "to_node": "node_2499",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.435)",
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    {
      "from_node": "node_2499",
      "to_node": "node_2500",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005982)",
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    {
      "from_node": "node_2500",
      "to_node": "node_2501",
      "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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    {
      "from_node": "node_2501",
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.188)",
      "action_type": null,
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    {
      "from_node": "node_2502",
      "to_node": "node_2503",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2505",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.178)",
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    {
      "from_node": "node_2505",
      "to_node": "node_2506",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003632)",
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    {
      "from_node": "node_2506",
      "to_node": "node_2507",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005638)",
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    {
      "from_node": "node_2507",
      "to_node": "node_2508",
      "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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    {
      "from_node": "node_2508",
      "to_node": "node_2509",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.245)",
      "action_type": null,
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    {
      "from_node": "node_2509",
      "to_node": "node_2510",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.199)",
      "action_type": null,
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    {
      "from_node": "node_2510",
      "to_node": "node_2511",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2512",
      "to_node": "node_2513",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.443)",
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    {
      "from_node": "node_2513",
      "to_node": "node_2514",
      "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_2514",
      "to_node": "node_2515",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.580)",
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    {
      "from_node": "node_2515",
      "to_node": "node_2516",
      "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_2518",
      "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_2518",
      "to_node": "node_2519",
      "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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    {
      "from_node": "node_2519",
      "to_node": "node_2520",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004615)",
      "action_type": null,
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    {
      "from_node": "node_2520",
      "to_node": "node_2521",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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    {
      "from_node": "node_2521",
      "to_node": "node_2522",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2523",
      "to_node": "node_2524",
      "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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    {
      "from_node": "node_2524",
      "to_node": "node_2525",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003297)",
      "action_type": null,
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    {
      "from_node": "node_2525",
      "to_node": "node_2526",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004890)",
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    {
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      "to_node": "node_2527",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.209)",
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    {
      "from_node": "node_2527",
      "to_node": "node_2528",
      "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_2528",
      "to_node": "node_2529",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.314)",
      "action_type": null,
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    {
      "from_node": "node_2529",
      "to_node": "node_2530",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.340)",
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    {
      "from_node": "node_2530",
      "to_node": "node_2531",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2532",
      "to_node": "node_2533",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.183)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2533",
      "to_node": "node_2534",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2534",
      "to_node": "node_2535",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.414)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2535",
      "to_node": "node_2536",
      "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_2538",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2538",
      "to_node": "node_2539",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2539",
      "to_node": "node_2540",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2540",
      "to_node": "node_2541",
      "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_2543",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2544",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.608)",
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      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2544",
      "to_node": "node_2545",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003451)",
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      "reasoning": "Increase all_members thickness by 22%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 2 and 6",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
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    {
      "from_node": "node_2550",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2554",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004440)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.538)",
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      "to_node": "node_2556",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003260)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
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      "from_node": "node_2561",
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      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
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      "from_node": "node_2562",
      "to_node": "node_2563",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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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 1 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.445)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
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      "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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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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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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      "to_node": "node_2573",
      "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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    {
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.445)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.447)",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.401)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.258)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2580",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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    {
      "from_node": "node_2580",
      "to_node": "node_2581",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)",
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      "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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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.477)",
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    {
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      "to_node": "node_2584",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.325)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.264)",
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    {
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      "to_node": "node_2586",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_2586",
      "to_node": "node_2587",
      "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_2589",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.253)",
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    {
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      "to_node": "node_2590",
      "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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    {
      "from_node": "node_2590",
      "to_node": "node_2591",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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      "to_node": "node_2592",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.238)",
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    {
      "from_node": "node_2592",
      "to_node": "node_2593",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.629)",
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    {
      "from_node": "node_2595",
      "to_node": "node_2596",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003268)",
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    {
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      "to_node": "node_2597",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
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    {
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      "to_node": "node_2598",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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      "to_node": "node_2599",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.567)",
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    {
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      "to_node": "node_2600",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2602",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
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      "to_node": "node_2603",
      "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_2603",
      "to_node": "node_2604",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
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      "to_node": "node_2605",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
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      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)",
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      "edge_type": "modification",
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      "reasoning": "Increase 13 thickness by 21%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "to_node": "node_2612",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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      "to_node": "node_2613",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2615",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
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      "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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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.244)",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.456)",
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      "from_node": "node_2618",
      "to_node": "node_2619",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    {
      "from_node": "node_2619",
      "to_node": "node_2620",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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    {
      "from_node": "node_2620",
      "to_node": "node_2621",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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      "to_node": "node_2624",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.285)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.208)",
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      "to_node": "node_2626",
      "edge_type": "modification",
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      "from_node": "node_2627",
      "to_node": "node_2628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001318)",
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      "from_node": "node_2628",
      "to_node": "node_2629",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002782)",
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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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      "to_node": "node_2631",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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    {
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      "to_node": "node_2632",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.381)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.484)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2637",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
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    {
      "from_node": "node_2637",
      "to_node": "node_2638",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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    {
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      "to_node": "node_2639",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
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      "edge_type": "modification",
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    {
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      "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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      "reasoning": "Increase 15 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.325)",
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    {
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      "to_node": "node_2644",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.289)",
      "action_type": null,
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    {
      "from_node": "node_2644",
      "to_node": "node_2645",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
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    {
      "from_node": "node_2645",
      "to_node": "node_2646",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2647",
      "to_node": "node_2648",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.305)",
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    {
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      "to_node": "node_2649",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.558)",
      "action_type": null,
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    {
      "from_node": "node_2649",
      "to_node": "node_2650",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
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    {
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      "to_node": "node_2651",
      "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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      "to_node": "node_2652",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.350)",
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    {
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      "to_node": "node_2653",
      "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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      "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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    {
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      "to_node": "node_2655",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2657",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004322)",
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    {
      "from_node": "node_2657",
      "to_node": "node_2658",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003566)",
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    {
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      "to_node": "node_2659",
      "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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      "to_node": "node_2660",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2662",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001609)",
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      "to_node": "node_2663",
      "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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      "to_node": "node_2664",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
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      "to_node": "node_2665",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.458)",
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    {
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      "to_node": "node_2666",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.190)",
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      "to_node": "node_2667",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.302)",
      "action_type": null,
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    {
      "from_node": "node_2667",
      "to_node": "node_2668",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2668",
      "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": "Increase 5 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.616)",
      "action_type": null,
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    {
      "from_node": "node_2671",
      "to_node": "node_2672",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2672",
      "to_node": "node_2673",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003797)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2673",
      "to_node": "node_2674",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2674",
      "to_node": "node_2675",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
      "action_type": null,
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    {
      "from_node": "node_2675",
      "to_node": "node_2676",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_2676",
      "to_node": "node_2677",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2678",
      "to_node": "node_2679",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001765)",
      "action_type": null,
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    {
      "from_node": "node_2679",
      "to_node": "node_2680",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.582)",
      "action_type": null,
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    {
      "from_node": "node_2680",
      "to_node": "node_2681",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
      "action_type": null,
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    {
      "from_node": "node_2681",
      "to_node": "node_2682",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005061)",
      "action_type": null,
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    },
    {
      "from_node": "node_2682",
      "to_node": "node_2683",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004969)",
      "action_type": null,
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    {
      "from_node": "node_2683",
      "to_node": "node_2684",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
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    {
      "from_node": "node_2684",
      "to_node": "node_2685",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2686",
      "to_node": "node_2687",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.590)",
      "action_type": null,
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    {
      "from_node": "node_2687",
      "to_node": "node_2688",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2688",
      "to_node": "node_2689",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    },
    {
      "from_node": "node_2689",
      "to_node": "node_2690",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2691",
      "to_node": "node_2692",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
      "action_type": null,
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    {
      "from_node": "node_2692",
      "to_node": "node_2693",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    {
      "from_node": "node_2693",
      "to_node": "node_2694",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.344)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    {
      "from_node": "node_2694",
      "to_node": "node_2695",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2696",
      "to_node": "node_2697",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003254)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2697",
      "to_node": "node_2698",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_2698",
      "to_node": "node_2699",
      "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_2699",
      "to_node": "node_2700",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.294)",
      "action_type": null,
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    {
      "from_node": "node_2700",
      "to_node": "node_2701",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
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    {
      "from_node": "node_2701",
      "to_node": "node_2702",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2702",
      "to_node": "node_2703",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2704",
      "to_node": "node_2705",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.553)",
      "action_type": null,
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    {
      "from_node": "node_2705",
      "to_node": "node_2706",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2706",
      "to_node": "node_2707",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_2707",
      "to_node": "node_2708",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.362)",
      "action_type": null,
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    {
      "from_node": "node_2708",
      "to_node": "node_2709",
      "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_2711",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2711",
      "to_node": "node_2712",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.445)",
      "action_type": null,
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    {
      "from_node": "node_2712",
      "to_node": "node_2713",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_2713",
      "to_node": "node_2714",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2714",
      "to_node": "node_2715",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2715",
      "to_node": "node_2716",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2716",
      "to_node": "node_2717",
      "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_2719",
      "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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      "target_member": null,
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    {
      "from_node": "node_2719",
      "to_node": "node_2720",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
      "from_node": "node_2720",
      "to_node": "node_2721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
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    {
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      "to_node": "node_2722",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
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    {
      "from_node": "node_2722",
      "to_node": "node_2723",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
      "from_node": "node_2723",
      "to_node": "node_2724",
      "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_2726",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006155)",
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    {
      "from_node": "node_2726",
      "to_node": "node_2727",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004557)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2727",
      "to_node": "node_2728",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2728",
      "to_node": "node_2729",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.653)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2729",
      "to_node": "node_2730",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2730",
      "to_node": "node_2731",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.479)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2731",
      "to_node": "node_2732",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2733",
      "to_node": "node_2734",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2734",
      "to_node": "node_2735",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2735",
      "to_node": "node_2736",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.577)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2736",
      "to_node": "node_2737",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003880)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2737",
      "to_node": "node_2738",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2738",
      "to_node": "node_2739",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2739",
      "to_node": "node_2740",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2741",
      "to_node": "node_2742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004575)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2742",
      "to_node": "node_2743",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2743",
      "to_node": "node_2744",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005074)",
      "action_type": null,
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    },
    {
      "from_node": "node_2744",
      "to_node": "node_2745",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2745",
      "to_node": "node_2746",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2746",
      "to_node": "node_2747",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2748",
      "to_node": "node_2749",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2749",
      "to_node": "node_2750",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004676)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2750",
      "to_node": "node_2751",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2751",
      "to_node": "node_2752",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2752",
      "to_node": "node_2753",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2753",
      "to_node": "node_2754",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2755",
      "to_node": "node_2756",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2756",
      "to_node": "node_2757",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2757",
      "to_node": "node_2758",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.548)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2758",
      "to_node": "node_2759",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2760",
      "to_node": "node_2761",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2761",
      "to_node": "node_2762",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2762",
      "to_node": "node_2763",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2763",
      "to_node": "node_2764",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2764",
      "to_node": "node_2765",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004454)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2765",
      "to_node": "node_2766",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2766",
      "to_node": "node_2767",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2767",
      "to_node": "node_2768",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2769",
      "to_node": "node_2770",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2770",
      "to_node": "node_2771",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2771",
      "to_node": "node_2772",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2772",
      "to_node": "node_2773",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2774",
      "to_node": "node_2775",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2775",
      "to_node": "node_2776",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2776",
      "to_node": "node_2777",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2777",
      "to_node": "node_2778",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2779",
      "to_node": "node_2780",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2780",
      "to_node": "node_2781",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2781",
      "to_node": "node_2782",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2782",
      "to_node": "node_2783",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_2785",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2785",
      "to_node": "node_2786",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2786",
      "to_node": "node_2787",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2787",
      "to_node": "node_2788",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2788",
      "to_node": "node_2789",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2790",
      "to_node": "node_2791",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2791",
      "to_node": "node_2792",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2792",
      "to_node": "node_2793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2793",
      "to_node": "node_2794",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2794",
      "to_node": "node_2795",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2795",
      "to_node": "node_2796",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2797",
      "to_node": "node_2798",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2798",
      "to_node": "node_2799",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2799",
      "to_node": "node_2800",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2800",
      "to_node": "node_2801",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2801",
      "to_node": "node_2802",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2802",
      "to_node": "node_2803",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_2804",
      "to_node": "node_2805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003542)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2805",
      "to_node": "node_2806",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2806",
      "to_node": "node_2807",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005077)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2807",
      "to_node": "node_2808",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2808",
      "to_node": "node_2809",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2809",
      "to_node": "node_2810",
      "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
    },
    {
      "from_node": "node_2811",
      "to_node": "node_2812",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2812",
      "to_node": "node_2813",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2813",
      "to_node": "node_2814",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2814",
      "to_node": "node_2815",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2816",
      "to_node": "node_2817",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004409)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2817",
      "to_node": "node_2818",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2818",
      "to_node": "node_2819",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2819",
      "to_node": "node_2820",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2821",
      "to_node": "node_2822",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2822",
      "to_node": "node_2823",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2823",
      "to_node": "node_2824",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2824",
      "to_node": "node_2825",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2826",
      "to_node": "node_2827",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004461)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2827",
      "to_node": "node_2828",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2828",
      "to_node": "node_2829",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2829",
      "to_node": "node_2830",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2830",
      "to_node": "node_2831",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005017)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2831",
      "to_node": "node_2832",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.639)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2832",
      "to_node": "node_2833",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2833",
      "to_node": "node_2834",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2835",
      "to_node": "node_2836",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2836",
      "to_node": "node_2837",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2837",
      "to_node": "node_2838",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.445)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2838",
      "to_node": "node_2839",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2840",
      "to_node": "node_2841",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005010)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2841",
      "to_node": "node_2842",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2842",
      "to_node": "node_2843",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2843",
      "to_node": "node_2844",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004800)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2844",
      "to_node": "node_2845",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2845",
      "to_node": "node_2846",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2846",
      "to_node": "node_2847",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2848",
      "to_node": "node_2849",
      "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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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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    {
      "from_node": "node_2850",
      "to_node": "node_2851",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.529)",
      "action_type": null,
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    {
      "from_node": "node_2851",
      "to_node": "node_2852",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2853",
      "to_node": "node_2854",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_2854",
      "to_node": "node_2855",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
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    {
      "from_node": "node_2855",
      "to_node": "node_2856",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.404)",
      "action_type": null,
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    {
      "from_node": "node_2856",
      "to_node": "node_2857",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2858",
      "to_node": "node_2859",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_2859",
      "to_node": "node_2860",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004405)",
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    {
      "from_node": "node_2860",
      "to_node": "node_2861",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
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    {
      "from_node": "node_2861",
      "to_node": "node_2862",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.577)",
      "action_type": null,
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    {
      "from_node": "node_2862",
      "to_node": "node_2863",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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    {
      "from_node": "node_2863",
      "to_node": "node_2864",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2865",
      "to_node": "node_2866",
      "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_2866",
      "to_node": "node_2867",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.206)",
      "action_type": null,
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    {
      "from_node": "node_2867",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.362)",
      "action_type": null,
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    {
      "from_node": "node_2868",
      "to_node": "node_2869",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2870",
      "to_node": "node_2871",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_2871",
      "to_node": "node_2872",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.431)",
      "action_type": null,
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    {
      "from_node": "node_2872",
      "to_node": "node_2873",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
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    {
      "from_node": "node_2873",
      "to_node": "node_2874",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
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    {
      "from_node": "node_2874",
      "to_node": "node_2875",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.425)",
      "action_type": null,
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    {
      "from_node": "node_2875",
      "to_node": "node_2876",
      "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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    {
      "from_node": "node_2876",
      "to_node": "node_2877",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2878",
      "to_node": "node_2879",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
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    {
      "from_node": "node_2879",
      "to_node": "node_2880",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
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    {
      "from_node": "node_2880",
      "to_node": "node_2881",
      "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_2881",
      "to_node": "node_2882",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
      "action_type": null,
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    {
      "from_node": "node_2882",
      "to_node": "node_2883",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2883",
      "to_node": "node_2884",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_2884",
      "to_node": "node_2885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2886",
      "to_node": "node_2887",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003028)",
      "action_type": null,
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    },
    {
      "from_node": "node_2887",
      "to_node": "node_2888",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.495)",
      "action_type": null,
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    {
      "from_node": "node_2888",
      "to_node": "node_2889",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2889",
      "to_node": "node_2890",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.577)",
      "action_type": null,
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    {
      "from_node": "node_2890",
      "to_node": "node_2891",
      "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_2891",
      "to_node": "node_2892",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2893",
      "to_node": "node_2894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_2894",
      "to_node": "node_2895",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
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    {
      "from_node": "node_2895",
      "to_node": "node_2896",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.555)",
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    {
      "from_node": "node_2896",
      "to_node": "node_2897",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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    {
      "from_node": "node_2897",
      "to_node": "node_2898",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2899",
      "to_node": "node_2900",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003675)",
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    {
      "from_node": "node_2900",
      "to_node": "node_2901",
      "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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    {
      "from_node": "node_2901",
      "to_node": "node_2902",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006047)",
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    {
      "from_node": "node_2902",
      "to_node": "node_2903",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.582)",
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    {
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      "to_node": "node_2904",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.179)",
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      "to_node": "node_2905",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.572)",
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    {
      "from_node": "node_2905",
      "to_node": "node_2906",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2908",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2908",
      "to_node": "node_2909",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.499)",
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      "scale_factor": null
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    {
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      "to_node": "node_2910",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.550)",
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      "to_node": "node_2911",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2911",
      "to_node": "node_2912",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    {
      "from_node": "node_2912",
      "to_node": "node_2913",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2914",
      "to_node": "node_2915",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005511)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2915",
      "to_node": "node_2916",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2916",
      "to_node": "node_2917",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004173)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2917",
      "to_node": "node_2918",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2918",
      "to_node": "node_2919",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2920",
      "to_node": "node_2921",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2921",
      "to_node": "node_2922",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2922",
      "to_node": "node_2923",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2923",
      "to_node": "node_2924",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2924",
      "to_node": "node_2925",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2925",
      "to_node": "node_2926",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2926",
      "to_node": "node_2927",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2928",
      "to_node": "node_2929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004736)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2929",
      "to_node": "node_2930",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    },
    {
      "from_node": "node_2930",
      "to_node": "node_2931",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005097)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2931",
      "to_node": "node_2932",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2932",
      "to_node": "node_2933",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001799)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2933",
      "to_node": "node_2934",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2934",
      "to_node": "node_2935",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2936",
      "to_node": "node_2937",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2937",
      "to_node": "node_2938",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001221)",
      "action_type": null,
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    },
    {
      "from_node": "node_2938",
      "to_node": "node_2939",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_2939",
      "to_node": "node_2940",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2940",
      "to_node": "node_2941",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004729)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2941",
      "to_node": "node_2942",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003725)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2942",
      "to_node": "node_2943",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2943",
      "to_node": "node_2944",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2945",
      "to_node": "node_2946",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004090)",
      "action_type": null,
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    },
    {
      "from_node": "node_2946",
      "to_node": "node_2947",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006694)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2947",
      "to_node": "node_2948",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.196)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2948",
      "to_node": "node_2949",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2949",
      "to_node": "node_2950",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2950",
      "to_node": "node_2951",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2952",
      "to_node": "node_2953",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2953",
      "to_node": "node_2954",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004677)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2954",
      "to_node": "node_2955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002084)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2955",
      "to_node": "node_2956",
      "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
    },
    {
      "from_node": "node_2956",
      "to_node": "node_2957",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "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_2957",
      "to_node": "node_2958",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2959",
      "to_node": "node_2960",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2960",
      "to_node": "node_2961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    },
    {
      "from_node": "node_2961",
      "to_node": "node_2962",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.513)",
      "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_2962",
      "to_node": "node_2963",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2964",
      "to_node": "node_2965",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "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_2965",
      "to_node": "node_2966",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2966",
      "to_node": "node_2967",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2967",
      "to_node": "node_2968",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005042)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2968",
      "to_node": "node_2969",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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      "to_node": "node_2970",
      "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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    {
      "from_node": "node_2971",
      "to_node": "node_2972",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2972",
      "to_node": "node_2973",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
      "from_node": "node_2973",
      "to_node": "node_2974",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2974",
      "to_node": "node_2975",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2976",
      "to_node": "node_2977",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2977",
      "to_node": "node_2978",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2978",
      "to_node": "node_2979",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2979",
      "to_node": "node_2980",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2980",
      "to_node": "node_2981",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2981",
      "to_node": "node_2982",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": 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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    },
    {
      "from_node": "node_2984",
      "to_node": "node_2985",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2985",
      "to_node": "node_2986",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006306)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2986",
      "to_node": "node_2987",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2987",
      "to_node": "node_2988",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2988",
      "to_node": "node_2989",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2989",
      "to_node": "node_2990",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2990",
      "to_node": "node_2991",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2992",
      "to_node": "node_2993",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2993",
      "to_node": "node_2994",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2994",
      "to_node": "node_2995",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2995",
      "to_node": "node_2996",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2997",
      "to_node": "node_2998",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2998",
      "to_node": "node_2999",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2999",
      "to_node": "node_3000",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3000",
      "to_node": "node_3001",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3001",
      "to_node": "node_3002",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3002",
      "to_node": "node_3003",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3004",
      "to_node": "node_3005",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3005",
      "to_node": "node_3006",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3006",
      "to_node": "node_3007",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3007",
      "to_node": "node_3008",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3009",
      "to_node": "node_3010",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3010",
      "to_node": "node_3011",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005143)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3011",
      "to_node": "node_3012",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3012",
      "to_node": "node_3013",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3013",
      "to_node": "node_3014",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003394)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3014",
      "to_node": "node_3015",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3015",
      "to_node": "node_3016",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3017",
      "to_node": "node_3018",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001704)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3018",
      "to_node": "node_3019",
      "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,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3019",
      "to_node": "node_3020",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004735)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3020",
      "to_node": "node_3021",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.449)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3021",
      "to_node": "node_3022",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3022",
      "to_node": "node_3023",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3023",
      "to_node": "node_3024",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3025",
      "to_node": "node_3026",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3026",
      "to_node": "node_3027",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3027",
      "to_node": "node_3028",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3028",
      "to_node": "node_3029",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.339)",
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    {
      "from_node": "node_3090",
      "to_node": "node_3091",
      "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,
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    {
      "from_node": "node_3091",
      "to_node": "node_3092",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    },
    {
      "from_node": "node_3092",
      "to_node": "node_3093",
      "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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    {
      "from_node": "node_3094",
      "to_node": "node_3095",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3095",
      "to_node": "node_3096",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3096",
      "to_node": "node_3097",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.582)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3097",
      "to_node": "node_3098",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3099",
      "to_node": "node_3100",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3100",
      "to_node": "node_3101",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
      "action_type": null,
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    },
    {
      "from_node": "node_3101",
      "to_node": "node_3102",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3102",
      "to_node": "node_3103",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_3103",
      "to_node": "node_3104",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "parameter_name": null,
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    },
    {
      "from_node": "node_3105",
      "to_node": "node_3106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003188)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3106",
      "to_node": "node_3107",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3107",
      "to_node": "node_3108",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_3108",
      "to_node": "node_3109",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001528)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3109",
      "to_node": "node_3110",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005457)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3110",
      "to_node": "node_3111",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005920)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3111",
      "to_node": "node_3112",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3112",
      "to_node": "node_3113",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3114",
      "to_node": "node_3115",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3115",
      "to_node": "node_3116",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3116",
      "to_node": "node_3117",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3117",
      "to_node": "node_3118",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3118",
      "to_node": "node_3119",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3119",
      "to_node": "node_3120",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_3121",
      "to_node": "node_3122",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3122",
      "to_node": "node_3123",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
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    },
    {
      "from_node": "node_3123",
      "to_node": "node_3124",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3124",
      "to_node": "node_3125",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3125",
      "to_node": "node_3126",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3126",
      "to_node": "node_3127",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3128",
      "to_node": "node_3129",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3129",
      "to_node": "node_3130",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3130",
      "to_node": "node_3131",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3131",
      "to_node": "node_3132",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3132",
      "to_node": "node_3133",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.653)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3133",
      "to_node": "node_3134",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3134",
      "to_node": "node_3135",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3136",
      "to_node": "node_3137",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3137",
      "to_node": "node_3138",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3138",
      "to_node": "node_3139",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001746)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3139",
      "to_node": "node_3140",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3140",
      "to_node": "node_3141",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3141",
      "to_node": "node_3142",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3142",
      "to_node": "node_3143",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3144",
      "to_node": "node_3145",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004750)",
      "action_type": null,
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    {
      "from_node": "node_3145",
      "to_node": "node_3146",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.471)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3146",
      "to_node": "node_3147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001656)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3147",
      "to_node": "node_3148",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004976)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3148",
      "to_node": "node_3149",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
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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 all_members thickness by 26%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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      "to_node": "node_3156",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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      "to_node": "node_3159",
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      "reasoning": "Increase 15 thickness by 29%",
      "metadata": null,
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      "from_node": "node_3159",
      "to_node": "node_3160",
      "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, 0.028360, 0.003606)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
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      "from_node": "node_3161",
      "to_node": "node_3162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
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    {
      "from_node": "node_3162",
      "to_node": "node_3163",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003537)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.623)",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.205)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
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      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004273)",
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      "reasoning": "Increase all_members thickness by 12%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "reasoning": "Increase 2 thickness by 66%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.437)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "reasoning": "Increase all_members thickness by 32%",
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      "reasoning": "Add member connecting joints 3 and 8",
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      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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      "to_node": "node_3182",
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      "reasoning": "Add member connecting joints 8 and 9",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.235)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.538)",
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    {
      "from_node": "node_3188",
      "to_node": "node_3189",
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      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006403)",
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    {
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      "to_node": "node_3190",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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    {
      "from_node": "node_3190",
      "to_node": "node_3191",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
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    {
      "from_node": "node_3191",
      "to_node": "node_3192",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3194",
      "edge_type": "modification",
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      "to_node": "node_3195",
      "edge_type": "modification",
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      "to_node": "node_3196",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004514)",
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      "to_node": "node_3197",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.433)",
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    {
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      "to_node": "node_3198",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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    {
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      "to_node": "node_3199",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3201",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
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      "to_node": "node_3202",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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      "to_node": "node_3203",
      "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_3204",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3206",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002691)",
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      "to_node": "node_3207",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
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      "to_node": "node_3208",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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    {
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      "to_node": "node_3209",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003562)",
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      "to_node": "node_3210",
      "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_3211",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3213",
      "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_3214",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.258)",
      "action_type": null,
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      "from_node": "node_3214",
      "to_node": "node_3215",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.555)",
      "action_type": null,
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      "to_node": "node_3216",
      "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_3217",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3219",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
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    {
      "from_node": "node_3219",
      "to_node": "node_3220",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
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    {
      "from_node": "node_3220",
      "to_node": "node_3221",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.361)",
      "action_type": null,
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    {
      "from_node": "node_3221",
      "to_node": "node_3222",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.318)",
      "action_type": null,
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    {
      "from_node": "node_3222",
      "to_node": "node_3223",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3224",
      "to_node": "node_3225",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)",
      "action_type": null,
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    {
      "from_node": "node_3225",
      "to_node": "node_3226",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
      "from_node": "node_3226",
      "to_node": "node_3227",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)",
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    {
      "from_node": "node_3227",
      "to_node": "node_3228",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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    {
      "from_node": "node_3228",
      "to_node": "node_3229",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.541)",
      "action_type": null,
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      "from_node": "node_3229",
      "to_node": "node_3230",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.214)",
      "action_type": null,
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    {
      "from_node": "node_3230",
      "to_node": "node_3231",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3232",
      "to_node": "node_3233",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005415)",
      "action_type": null,
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    {
      "from_node": "node_3233",
      "to_node": "node_3234",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003573)",
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    {
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      "to_node": "node_3235",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
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    {
      "from_node": "node_3235",
      "to_node": "node_3236",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.427)",
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    {
      "from_node": "node_3236",
      "to_node": "node_3237",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
      "action_type": null,
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    {
      "from_node": "node_3237",
      "to_node": "node_3238",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3239",
      "to_node": "node_3240",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
      "action_type": null,
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    {
      "from_node": "node_3240",
      "to_node": "node_3241",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_3241",
      "to_node": "node_3242",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.264)",
      "action_type": null,
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    {
      "from_node": "node_3242",
      "to_node": "node_3243",
      "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 19 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.529)",
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    {
      "from_node": "node_3245",
      "to_node": "node_3246",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.239)",
      "action_type": null,
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    {
      "from_node": "node_3246",
      "to_node": "node_3247",
      "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_3248",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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    {
      "from_node": "node_3248",
      "to_node": "node_3249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
      "action_type": null,
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    {
      "from_node": "node_3249",
      "to_node": "node_3250",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.344)",
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    {
      "from_node": "node_3250",
      "to_node": "node_3251",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_3252",
      "to_node": "node_3253",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004441)",
      "action_type": null,
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    {
      "from_node": "node_3253",
      "to_node": "node_3254",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003290)",
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    {
      "from_node": "node_3254",
      "to_node": "node_3255",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004128)",
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    {
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      "to_node": "node_3256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004738)",
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    {
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      "to_node": "node_3257",
      "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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    {
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      "to_node": "node_3258",
      "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_3260",
      "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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    {
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      "to_node": "node_3261",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001977)",
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      "to_node": "node_3262",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.353)",
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    {
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      "to_node": "node_3263",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.558)",
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    {
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      "to_node": "node_3264",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004520)",
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      "target_member": null,
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    {
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      "to_node": "node_3265",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004444)",
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    {
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      "to_node": "node_3266",
      "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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      "scale_factor": null
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    {
      "from_node": "node_3266",
      "to_node": "node_3267",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_3268",
      "to_node": "node_3269",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003794)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3270",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.642)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.289)",
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      "from_node": "node_3271",
      "to_node": "node_3272",
      "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_3272",
      "to_node": "node_3273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
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    {
      "from_node": "node_3273",
      "to_node": "node_3274",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.300)",
      "action_type": null,
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    {
      "from_node": "node_3274",
      "to_node": "node_3275",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3277",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_3277",
      "to_node": "node_3278",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003003)",
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    {
      "from_node": "node_3278",
      "to_node": "node_3279",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_3279",
      "to_node": "node_3280",
      "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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    {
      "from_node": "node_3280",
      "to_node": "node_3281",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
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    {
      "from_node": "node_3281",
      "to_node": "node_3282",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3283",
      "to_node": "node_3284",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
      "action_type": null,
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    {
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      "to_node": "node_3285",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.395)",
      "action_type": null,
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      "from_node": "node_3285",
      "to_node": "node_3286",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.493)",
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    {
      "from_node": "node_3286",
      "to_node": "node_3287",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)",
      "action_type": null,
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    {
      "from_node": "node_3287",
      "to_node": "node_3288",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
      "from_node": "node_3289",
      "to_node": "node_3290",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004138)",
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    {
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      "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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    {
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      "to_node": "node_3292",
      "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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    {
      "from_node": "node_3292",
      "to_node": "node_3293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)",
      "action_type": null,
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    },
    {
      "from_node": "node_3293",
      "to_node": "node_3294",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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    {
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      "to_node": "node_3295",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.332)",
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    {
      "from_node": "node_3295",
      "to_node": "node_3296",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3297",
      "to_node": "node_3298",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003426)",
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    {
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      "to_node": "node_3299",
      "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_3300",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.221)",
      "action_type": null,
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    {
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      "to_node": "node_3301",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.477)",
      "action_type": null,
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    {
      "from_node": "node_3301",
      "to_node": "node_3302",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.515)",
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    {
      "from_node": "node_3303",
      "to_node": "node_3304",
      "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_3306",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.287)",
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    {
      "from_node": "node_3306",
      "to_node": "node_3307",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004308)",
      "action_type": null,
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    {
      "from_node": "node_3307",
      "to_node": "node_3308",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002775)",
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    {
      "from_node": "node_3308",
      "to_node": "node_3309",
      "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_3309",
      "to_node": "node_3310",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.404)",
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    {
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      "to_node": "node_3311",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3312",
      "to_node": "node_3313",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)",
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    {
      "from_node": "node_3313",
      "to_node": "node_3314",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
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    {
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      "to_node": "node_3315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
      "from_node": "node_3315",
      "to_node": "node_3316",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3318",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003620)",
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    {
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      "to_node": "node_3319",
      "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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      "to_node": "node_3320",
      "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_3321",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3323",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.401)",
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      "to_node": "node_3324",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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    {
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      "to_node": "node_3325",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
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      "to_node": "node_3326",
      "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_3328",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)",
      "action_type": null,
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    {
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      "to_node": "node_3329",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.508)",
      "action_type": null,
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    {
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      "to_node": "node_3330",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
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      "to_node": "node_3332",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3334",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.458)",
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      "to_node": "node_3335",
      "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_3335",
      "to_node": "node_3336",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003734)",
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    {
      "from_node": "node_3336",
      "to_node": "node_3337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004510)",
      "action_type": null,
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    {
      "from_node": "node_3337",
      "to_node": "node_3338",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_3338",
      "to_node": "node_3339",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_3339",
      "to_node": "node_3340",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3342",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.267)",
      "action_type": null,
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    {
      "from_node": "node_3342",
      "to_node": "node_3343",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_3343",
      "to_node": "node_3344",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)",
      "action_type": null,
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    {
      "from_node": "node_3344",
      "to_node": "node_3345",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.560)",
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    {
      "from_node": "node_3345",
      "to_node": "node_3346",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.484)",
      "action_type": null,
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    {
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      "to_node": "node_3347",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.389)",
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    {
      "from_node": "node_3347",
      "to_node": "node_3348",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_3348",
      "to_node": "node_3349",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3350",
      "to_node": "node_3351",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002853)",
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    {
      "from_node": "node_3351",
      "to_node": "node_3352",
      "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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      "to_node": "node_3353",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.332)",
      "action_type": null,
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    {
      "from_node": "node_3353",
      "to_node": "node_3354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003667)",
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    {
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      "to_node": "node_3355",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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    {
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      "to_node": "node_3356",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.610)",
      "action_type": null,
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    {
      "from_node": "node_3356",
      "to_node": "node_3357",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_3359",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.202)",
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    {
      "from_node": "node_3359",
      "to_node": "node_3360",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
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    {
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      "to_node": "node_3361",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.212)",
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    {
      "from_node": "node_3361",
      "to_node": "node_3362",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.543)",
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    {
      "from_node": "node_3362",
      "to_node": "node_3363",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004400)",
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    {
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      "to_node": "node_3364",
      "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_3364",
      "to_node": "node_3365",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3366",
      "to_node": "node_3367",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.209)",
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    {
      "from_node": "node_3367",
      "to_node": "node_3368",
      "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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    {
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      "to_node": "node_3369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003233)",
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    {
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      "to_node": "node_3370",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.199)",
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    {
      "from_node": "node_3370",
      "to_node": "node_3371",
      "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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    {
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      "to_node": "node_3372",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.340)",
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    {
      "from_node": "node_3372",
      "to_node": "node_3373",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)",
      "action_type": null,
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    {
      "from_node": "node_3373",
      "to_node": "node_3374",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3375",
      "to_node": "node_3376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003294)",
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    {
      "from_node": "node_3376",
      "to_node": "node_3377",
      "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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    {
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      "to_node": "node_3378",
      "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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      "scale_factor": null
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    {
      "from_node": "node_3378",
      "to_node": "node_3379",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3381",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
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      "to_node": "node_3382",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.305)",
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      "to_node": "node_3383",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.190)",
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    {
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      "to_node": "node_3384",
      "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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      "to_node": "node_3385",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.279)",
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      "scale_factor": null
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    {
      "from_node": "node_3385",
      "to_node": "node_3386",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
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      "scale_factor": null
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    {
      "from_node": "node_3386",
      "to_node": "node_3387",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)",
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      "scale_factor": null
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    {
      "from_node": "node_3387",
      "to_node": "node_3388",
      "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_3390",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.252)",
      "action_type": null,
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    {
      "from_node": "node_3390",
      "to_node": "node_3391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003855)",
      "action_type": null,
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    },
    {
      "from_node": "node_3391",
      "to_node": "node_3392",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3392",
      "to_node": "node_3393",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3394",
      "to_node": "node_3395",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3395",
      "to_node": "node_3396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002577)",
      "action_type": null,
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    },
    {
      "from_node": "node_3396",
      "to_node": "node_3397",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3397",
      "to_node": "node_3398",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006293)",
      "action_type": null,
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    },
    {
      "from_node": "node_3398",
      "to_node": "node_3399",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3399",
      "to_node": "node_3400",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3400",
      "to_node": "node_3401",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3401",
      "to_node": "node_3402",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3403",
      "to_node": "node_3404",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.389)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3404",
      "to_node": "node_3405",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003695)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3405",
      "to_node": "node_3406",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3406",
      "to_node": "node_3407",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3407",
      "to_node": "node_3408",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3408",
      "to_node": "node_3409",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3409",
      "to_node": "node_3410",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3410",
      "to_node": "node_3411",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_3412",
      "to_node": "node_3413",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_3413",
      "to_node": "node_3414",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003027)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3414",
      "to_node": "node_3415",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3415",
      "to_node": "node_3416",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3416",
      "to_node": "node_3417",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3417",
      "to_node": "node_3418",
      "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
    },
    {
      "from_node": "node_3419",
      "to_node": "node_3420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001713)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3420",
      "to_node": "node_3421",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.548)",
      "action_type": null,
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    },
    {
      "from_node": "node_3421",
      "to_node": "node_3422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3422",
      "to_node": "node_3423",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003514)",
      "action_type": null,
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    },
    {
      "from_node": "node_3423",
      "to_node": "node_3424",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.592)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3424",
      "to_node": "node_3425",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3425",
      "to_node": "node_3426",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3426",
      "to_node": "node_3427",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3428",
      "to_node": "node_3429",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3429",
      "to_node": "node_3430",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3430",
      "to_node": "node_3431",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3431",
      "to_node": "node_3432",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006532)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3432",
      "to_node": "node_3433",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004754)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3433",
      "to_node": "node_3434",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3434",
      "to_node": "node_3435",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.650)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3435",
      "to_node": "node_3436",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3437",
      "to_node": "node_3438",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3438",
      "to_node": "node_3439",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004609)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3439",
      "to_node": "node_3440",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3440",
      "to_node": "node_3441",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004873)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3441",
      "to_node": "node_3442",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3442",
      "to_node": "node_3443",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3444",
      "to_node": "node_3445",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3445",
      "to_node": "node_3446",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3446",
      "to_node": "node_3447",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_3448",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.309)",
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      "to_node": "node_3449",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.304)",
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      "from_node": "node_3450",
      "to_node": "node_3451",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)",
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    {
      "from_node": "node_3451",
      "to_node": "node_3452",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3454",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
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    {
      "from_node": "node_3454",
      "to_node": "node_3455",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003416)",
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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, 1.235)",
      "action_type": null,
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      "to_node": "node_3457",
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      "reasoning": "Increase 6 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.456)",
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    {
      "from_node": "node_3457",
      "to_node": "node_3458",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3460",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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    {
      "from_node": "node_3460",
      "to_node": "node_3461",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
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    {
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      "to_node": "node_3462",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.385)",
      "action_type": null,
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    {
      "from_node": "node_3462",
      "to_node": "node_3463",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)",
      "action_type": null,
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    {
      "from_node": "node_3463",
      "to_node": "node_3464",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3465",
      "to_node": "node_3466",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003975)",
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    {
      "from_node": "node_3466",
      "to_node": "node_3467",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)",
      "action_type": null,
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    {
      "from_node": "node_3467",
      "to_node": "node_3468",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001519)",
      "action_type": null,
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    {
      "from_node": "node_3468",
      "to_node": "node_3469",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004801)",
      "action_type": null,
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    {
      "from_node": "node_3469",
      "to_node": "node_3470",
      "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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    {
      "from_node": "node_3470",
      "to_node": "node_3471",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3472",
      "to_node": "node_3473",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004047)",
      "action_type": null,
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    {
      "from_node": "node_3473",
      "to_node": "node_3474",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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    {
      "from_node": "node_3474",
      "to_node": "node_3475",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.410)",
      "action_type": null,
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    {
      "from_node": "node_3475",
      "to_node": "node_3476",
      "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_3476",
      "to_node": "node_3477",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.393)",
      "action_type": null,
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    {
      "from_node": "node_3477",
      "to_node": "node_3478",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.468)",
      "action_type": null,
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    {
      "from_node": "node_3478",
      "to_node": "node_3479",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3481",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.403)",
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    {
      "from_node": "node_3481",
      "to_node": "node_3482",
      "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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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003372)",
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    {
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      "to_node": "node_3484",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.558)",
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    {
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      "to_node": "node_3485",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.214)",
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    {
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      "to_node": "node_3486",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
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    {
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      "to_node": "node_3487",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3489",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.592)",
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    {
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      "to_node": "node_3490",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.435)",
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    {
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      "to_node": "node_3491",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.311)",
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    {
      "from_node": "node_3491",
      "to_node": "node_3492",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)",
      "action_type": null,
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    {
      "from_node": "node_3492",
      "to_node": "node_3493",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)",
      "action_type": null,
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    {
      "from_node": "node_3493",
      "to_node": "node_3494",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.188)",
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    {
      "from_node": "node_3494",
      "to_node": "node_3495",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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}